tag:blogger.com,1999:blog-11910975536122873052024-03-13T13:47:45.792-07:00Τεχνολογία ΕπικοινωνιώνeTwin-Comeniushttp://www.blogger.com/profile/15190473747304593171noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-1191097553612287305.post-42244753348251249782012-09-23T09:38:00.001-07:002012-09-23T12:43:27.372-07:00Η Τεχνολογία και ο Ερατοσθένης<span style="color: #6aa84f;"><b><span style="background-color: #eeeeee;"> Ας </span></b>φανταστούμε ότι έχετε αναλάβει να παρουσιάσετε θέμα σχετικό με τη <b>ΤΕΧΝΟΛΟΓΙΑ </b>στην αρχαιότητα και προκειμένου να <b>επικοινωνήσετε </b>καλύτερα με το κοινό σας αποφασίσατε στην ομιλία σας για το<b> έργο του Ερατοσθένη</b> να βοηθηθείτε και από ένα <b>αρχείο παρουσίασης, </b>που θα περιλαμβάνει βίντεο, εικόνες, κείμενο, υπερσυνδέσεις κλπ</span><br />
<span style="color: #6aa84f;"></span><br />
<span style="color: #6aa84f;"></span><br />
<u>Θέμα:</u><br />
<span style="color: #6aa84f;"><br /><b><span style="background-color: #eeeeee;"> <u><span style="color: #e69138;">ΕΡΑΤΟΣΘΕΝΗΣ: ΠΕΡΙ ΔΙΑΣΤΑΣΕΩΝ ΤΗΣ ΓΗΣ - ΜΗΚΟΣ ΠΕΡΙΦΕΡΕΙΑΣ και ΑΚΤΙΝΑΣ</span></u></span></b></span><br />
<ul>
<li><b><span style="color: blue;"><span style="color: #a64d79;"><span style="background-color: #eeeeee;">(αντιγράψτε το παρακάτω κείμενο σε αρχείο powerpoint Eratosthenes και συμπληρώστε τα κενά) </span></span></span></b></li>
</ul>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLBgOW8SqLqWJ3hLCuPT5ZRBFttZw9c3ege2PM-xn6e3JemXOmzZJVCFekkPgnS7RXSBRHmH0aI2hyphenhyphenolwPGLhdROi7D7cl1emlKRvB1UbCpW98lwgk8GXPDrfszsQ6_-uSlsKtbvXSIRkE/s1600/erato1.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLBgOW8SqLqWJ3hLCuPT5ZRBFttZw9c3ege2PM-xn6e3JemXOmzZJVCFekkPgnS7RXSBRHmH0aI2hyphenhyphenolwPGLhdROi7D7cl1emlKRvB1UbCpW98lwgk8GXPDrfszsQ6_-uSlsKtbvXSIRkE/s1600/erato1.jpg" /></a></div>
<b><span style="color: blue;">Ο Ερατοσθένης ο Κυρηναίος</span></b>
(γεννήθηκε το <b><span style="color: #e69138;">.......</span> </b>και πέθανε <b><span style="color: #e69138;">......</span>)</b> είναι μια από τις πιο αντιπροσωπευτικές
προσωπικότητες της Αλεξάνδρειας του 3ου αιώνα.<br />
<br />
Στο έργο του (μαθηματικά,
λογοτεχνική κριτική, φιλοσοφία, ιστορία, γεωγραφία) αποτυπώνεται ο
εγκυκλοπαιδικός και διεπιστημονικός χαρακτήρας της Αλεξανδρινής
επιστήμης.<br />
<br />
Στην πραγματεία του "Περί διαστάσεων της Γης" ο Ερατοσθένης
παρουσιάζει μια μέθοδο υπολογισμού του <b>μήκους της περιφέρειας της Γης</b>.<br />
<br />
<ul>
<li> <b><span style="color: blue;"><span style="color: #a64d79;"><span style="background-color: #eeeeee;">(τι λέμε θερινό ηλιοστάσιο; )</span></span></span></b></li>
</ul>
<div style="text-align: center;">
<b><span style="color: blue;"><span style="color: #a64d79;"><span style="background-color: #eeeeee;">.<span style="color: #e69138;">................................................................................................................................................ <br />.................................................................................................................................................</span></span></span></span></b></div>
<b><span style="color: blue;"><span style="color: #a64d79;"><span style="background-color: #eeeeee;"><br /></span></span></span></b>
<b><span style="font-family: "Verdana","sans-serif";"><small><small>Πληροφορίες
προγενέστερων
του Ερατοσθένη
αστρονόμων
έλεγαν, ότι
περί την Συήνη
(σημερινό
Ασσουάν) την
21ην Ιουνίου
οι ακτίνες του
Ήλιου έπεφταν
κάθετα προς το
οριζόντιο
επίπεδο. Αυτό
το συμπέραιναν
εξ αιτίας ενός
πηγαδιού, το
οποίο κάθε 21η
Ιουνίου
(θερινό ηλιοστάσιο) φωτιζόταν
ολόκληρο από
τις ακτίνες
του Ήλιου
μέχρι τον
πυθμένα του.</small></small></span></b><br />
<br />
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYVuLpwBHOmZ_klBybipc2ELDyFratMeVw_-YaiJjKiEba3ZHTSSH-J3WIN4ZWmry0ss82tH8QVFN-YmPver4bLADhT2RI2IvfB_L0YOxZ-UhvCYKJ1STQGcq4HYbqhJg-rVyKYc5T3L7a/s1600/earth1.gif" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYVuLpwBHOmZ_klBybipc2ELDyFratMeVw_-YaiJjKiEba3ZHTSSH-J3WIN4ZWmry0ss82tH8QVFN-YmPver4bLADhT2RI2IvfB_L0YOxZ-UhvCYKJ1STQGcq4HYbqhJg-rVyKYc5T3L7a/s320/earth1.gif" width="317" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Ασσουάν - Αλεξάνδρεια</td></tr>
</tbody></table>
<ul>
<li> <b><span style="color: blue;"><span style="color: #a64d79;"><span style="background-color: #eeeeee;">(δείτε το βίντεο ΚΑΙ συνδέστε το στο αρχείο της παρουσίασής σας) </span></span></span></b></li>
</ul>
<span style="font-size: small;"><span style="color: black;"> </span><b><span style="color: black;"><a href="http://www.youtube.com/watch?v=Eh2RBYCMIw0&feature=player_embedded" target="_blank"><span lang="EN-US">http://www.youtube.com/watch?<wbr></wbr>v=Eh2RBYCMIw0&feature=player_<wbr></wbr>embedded#</span></a></span></b><b><span lang="EN-US" style="color: black;">!</span></b> </span><br />
<br />
<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhCwdztkwTL1vz97zn8R9I6YYyr4lg9nf6BlxYvcG2FVpYJWyGFMBdv_0HsN31cIyrR97UIHl5VhbpP5uYpnCH2cJO28c5tSbI7zb1BfMVx3vek83HgAW9bZ6-PainN0JGsh-ayK_F3Bhu9/s1600/erat222.jpg" imageanchor="1" style="clear: right; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" height="213" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhCwdztkwTL1vz97zn8R9I6YYyr4lg9nf6BlxYvcG2FVpYJWyGFMBdv_0HsN31cIyrR97UIHl5VhbpP5uYpnCH2cJO28c5tSbI7zb1BfMVx3vek83HgAW9bZ6-PainN0JGsh-ayK_F3Bhu9/s320/erat222.jpg" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Σχ.1</td></tr>
</tbody></table>
<ul>
<li><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: #a64d79;"><b><span style="font-size: 9pt;">(Εισαγωγή και δημιουργία εικόνων) </span></b></span></span></li>
</ul>
<ol>
<li><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: #a64d79;"><b><span style="font-size: 9pt;">Ενσωματώστε χάρτη της Αιγύπτου, όπου να φαίνονται η Αλεξάνδρεια και το Ασσουάν. </span></b></span></span></li>
<li><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: #a64d79;"><b><span style="font-size: 9pt;">Σχεδιάστε με τα εργαλεία του pοwerpoint το διπλανό σχήμα (Σχ.1).</span></b></span></span></li>
</ol>
<br />
<ul>
<li><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: #a64d79;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: #a64d79;"><b><span style="font-size: 9pt;">(υπολογισμοί)</span></b></span></span></span></b></span></span></li>
</ul>
<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDQwDqiMHSE5j9pB7fsbaMrG7Eec8TaGQ6lgkPxZAXTpe1WiEr1l0h4YA1PldKTwXJHlOVcQmNtOFULvrVfvs4DYQPt3JMiB_rAOHbxCJNEIPwC0XrtH9fjo6TTGrwpbNweC82XksGs3As/s1600/triangle_f.jpg" imageanchor="1" style="clear: right; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" height="291" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDQwDqiMHSE5j9pB7fsbaMrG7Eec8TaGQ6lgkPxZAXTpe1WiEr1l0h4YA1PldKTwXJHlOVcQmNtOFULvrVfvs4DYQPt3JMiB_rAOHbxCJNEIPwC0XrtH9fjo6TTGrwpbNweC82XksGs3As/s320/triangle_f.jpg" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Σχ. 2</td></tr>
</tbody></table>
<ol>
<li><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small>Λέγεται ότι με
τη βοήθεια
του βασιλιά <b>Πτολεμαίου</b>,
ο οποίος
διέθεσε το
αναγκαίο σώμα
βηματιστών, ο
Ερατοσθένης
μέτρησε την
απόσταση
Συήνης -
Αλεξάνδρειας,
την οποίαν
βρήκε <b><span style="font-size: small;">5.000</span>
στάδια</b> (<span style="color: #741b47;">S</span>,
βλ. σχήμα Σχ.1). <br />Βρείτε την απόσταση αυτή σε <span style="font-size: small;">μέτρα </span>λαμβάνοντας υπόψη α) ότι το αττικό στάδιο = <span style="color: black; font-size: 13.5pt;">184,98 μ.</span></small></span></span></b></span></span></b></span> και β) <span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small>το οδοιπορικό στάδιο κατά την ελληνιστική περίοδο αντιστοιχούσε με <span style="color: black; font-size: 13.5pt;"><b>157,5
μέτρα</b>.</span></small></span></span></b></span></span></b></span><br /><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small><b><span style="font-size: large;"><small><span style="color: #e69138;">____________________</span></small></span></b></small></span></span></span></span></span></span></span></span></span></span></span><br /><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small> </small></span></span></b></span></span></b></span></li>
<li><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small>Μετά μέτρησε
τη <span style="font-size: small;">γωνία <span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small>
(γωνία φ στο
σχήμα Σχ. 1)</small></span></span></b></span></span></b></span></span></small></span></span></b></span></span></b></span><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small>, που
σχηματίζεται
στην
Αλεξάνδρεια
από την
κατακόρυφο του
τόπου και των
ακτίνων του
Ήλιου, και την
βρήκε ίση με
το <span style="font-size: small;">πεντηκοστό
της
περιφέρειας
κύκλου.</span> <br />Βρείτε πόσες περίπου μοίρες είναι η γωνία φ.</small></span></span></b></span></span></b></span><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small><span style="color: #e69138;"></span></small></span></span></span></span></span></span></span></span></span></span></span><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small><b><span style="font-size: large;"><small><span style="color: #e69138;"> ____________________</span></small></span></b></small></span></span></span></span></span></span></span></span></span></span></span></li>
<li><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"> Στο διπλανό σχήμα (Σχ.2) αν Η1=Η2 τι συμπεραίνετε για τη γωνία φ; </span></b></span></span></b></span><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small><b><span style="font-size: large;"><small><span style="color: #e69138;">______________________________________</span></small></span></b></small></span></span></span></span></span></span></span></span></span></span></span></li>
</ol>
<ul>
<li><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"> <span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: #a64d79;"><b><span style="font-size: 9pt;">(υπολογισμός
του μήκους της
περιφέρειας
ΚΑΙ ακτίνας της Γης από
τον Ερατοσθένη)</span></b></span></span></span></b></span></span></b></span></li>
</ul>
<span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small>Χρησιμοποιώντας τη μέθοδο των τριών ο Ερατοσθένης υπολόγισε το μήκος της Περιφέρειας και της ακτίνας της Γης.</small></span></span></b></span></span></b></span></span></b></span></span></b></span></span></b></span><br />
<span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small>Αν κάνετε και σεις αντίστοιχους συλλογισμούς ποιά αναλογία θα σκεφτείτε;</small></span></span></b></span></span></b></span></span></b></span></span></b></span></span></b></span><br />
<ol>
<li><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small>Ποιο το μήκος της</small></span></span></span></span></span></span></span></span></span></span><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small> περιφέρειας της Γης </small></span></span></b></span></span></b></span></span></b></span></span></b></span></span></b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small>σε μέτρα; <span style="color: #e69138;"><b><span style="font-size: large;">Γ=</span></b></span></small></span></span></span></span></span></span></span></span></span></span></span><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small><b><span style="font-size: large;"><small><span style="color: #e69138;">___________________________________</span></small></span></b></small></span></span></span></span></span></span></span></span></span></span></span><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small><b><span style="font-size: large;"></span></b><br /></small></span></span></span></span></span></span></span></span></span></span></span></li>
<li><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small>Ποιο το μήκος τη</small></span></span></span></span></span></span></span></span></span></span><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small>ς ακτίνας </small></span></span></b></span></span></b></span></span></b></span></span></b></span></span></b></span><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small>της Γης </small></span></span></b></span></span></b></span></span></b></span></span></b></span></span></b></span></small></span></span></b></span></span></b></span></span></b></span></span></b></span></span></b></span><small>σε μέτρα;<b><span style="font-size: large;"> <br /><span style="color: #e69138;">R=______________________________________</span></span></b></small><small><br /></small></li>
</ol>
<br />
<span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small><u>Σημείωση</u>: ο Ερατοσθένης ήξερε τη τιμή του π. Χρησιμοποιήστε ότι π=3.14.</small></span></span></b></span></span></b></span></span></b></span></span></b></span></span></b></span><br />
<br />
<ul>
<li><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small> <span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: #a64d79;"><b><span style="font-size: 9pt;">(ποσοαστό λάθους του Ερατοσθένη) </span></b></span></span></span></b></span></span></b></span></small></span></span></b></span></span></b></span></span></b></span></span></b></span></span></b></span></li>
</ul>
<span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: "Verdana","sans-serif";"><small><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><b><span style="font-size: 9pt;"><span style="font-family: Georgia,"Times New Roman",serif;"><span style="color: #a64d79;"><b><span style="font-size: 9pt;"><span style="color: black;"> <i><i> </i></i></span></span></b></span></span></span></b></span></span></b></span></small></span></span></b></span></span></b></span></span></b></span></span></b></span></span></b></span><br />
Αν σήμερα αποδεχόμαστε ότι η ακτίνα της Γης είναι <i><i>6.380 * 10^6 </i></i>μέτρα, υπολογίστε το ποσοστό λάθους του Ερατοσθένη.<br />
<span style="color: #e69138;"><span style="font-size: large;"><b>_____________________________________________%</b></span></span><br />
<br />eTwin-Comeniushttp://www.blogger.com/profile/15190473747304593171noreply@blogger.com0tag:blogger.com,1999:blog-1191097553612287305.post-66251007112988097742012-09-23T09:31:00.001-07:002012-10-01T03:32:29.339-07:00Oδηγίες σύνδεσης youtube βίντεο σε powerpoint<span style="color: #3d85c6;"><b>Βήματα</b></span><br />
<ol>
<li>Αντιγράφετε από το youtube το Url του βίντεο σε μια διαφάνεια στο powerpoint π.χ.<span style="font-size: x-small;"><span style="color: black;"> http://www.youtube.com<span style="color: red;">/watch?</span></span><span style="color: #009999;">v</span><span style="color: black;">=Eh2RBYCMIw0&feature=player_embedded</span></span></li>
<li><span style="font-size: x-small;"><span style="color: black;">Σβήνετε το</span></span><span style="color: red;"><span style="font-size: 40pt;"><span style="font-size: x-small;"> </span><b><span style="font-size: small;">watch?</span></b></span></span></li>
<li><span style="font-size: x-small;"><span style="color: black;">
Αντικαθιστάτε το <span style="font-size: large;"><b>=</b></span> με<span style="font-size: small;"> <span style="font-size: large;"><span style="color: #38761d;"><b>/</b></span></span></span> π.χ. <span style="font-size: x-small;"><span style="color: black;">http://www.youtube.com<span style="color: red;">/</span></span><span style="color: #009999;">v/</span><span style="color: black;">Eh2RBYCMIw0&feature=player_embedded</span></span></span></span></li>
<li><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;"> Από το MENU του PowerPoint επιλέξτε ΠΡΟΒΟΛΗ - ΓΡΑΜΜΕΣ ΕΡΓΑΛΕΙΩΝ ενεργοποιείτε την ΕΡΓΑΛΙΟΘΗΚΗ ΣΤΟΙΧΕΙΩΝ ΕΛΕΓΧΟΥ και επιλέγετε ΠΕΡΙΣΣΟΤΕΡΑ ΣΤΟΙΧΕΙΑ ΕΛΕΓΧΟΥ και SHOCKWAVE FLASH OBJECT</span></span></span></span></li>
<li><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;">Σχεδιάζετε στη διαφάνεια του powerpoint ένα ορθογώνιο, όπου και θα προβάλλετε το επιθυμητό βίντεο</span></span></span></span></li>
<li><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;">Επιλέγετε το ορθογώνιο και κάντε κλικ στην <span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;">ΕΡΓΑΛΙΟΘΗΚΗ ΣΤΟΙΧΕΙΩΝ ΕΛΕΓΧΟΥ το εικονίδιο ΙΔΙΟΤΗΤΕΣ</span></span></span></span></span></span></span></span></li>
<li><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;">Στην επιλογή MOVIE αντιγράφετε το URL του επιθυμητού βίντεο μετά τις τροποποιήσεις τπυ βήματος 3.</span></span></span></span></span></span></span></span></li>
<li><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;">Αποθηκεύετε το αρχείο powerpoint</span></span></span></span></span></span></span></span></li>
<li><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;">Κάνοντας ΠΡΟΒΟΛΗ ΠΑΡΟΥΣΙΑΣΗΣ, στη διαφάνεα που ενσωματώσατε το στοιχείο ελέγχου SHOCKWAVE μετά από λίγη αναμονή προβάλλεται το επιθυμητό βίντεο.</span></span></span></span></span></span></span></span></li>
<li><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;">ΕΦΑΡΜΟΓΗ: <a href="http://te3lyk.blogspot.gr/2012/09/blog-post_23.html" target="_blank">Ερατοσθένης και η μέτρηση της ακτίνας της γης </a></span></span></span></span></span></span></span></span></li>
</ol>
<span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;"><br /></span></span></span></span></span></span></span></span><span style="color: #3d85c6;">Καλή επιτυχία!</span><br />
<span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;"><span style="font-size: x-small;"><span style="color: black;"><br /></span></span></span></span></span></span></span></span>eTwin-Comeniushttp://www.blogger.com/profile/15190473747304593171noreply@blogger.com0tag:blogger.com,1999:blog-1191097553612287305.post-48609963392854431032012-09-23T08:41:00.002-07:002012-09-23T13:32:34.264-07:00ΟρισμοίΤι είναι ΤΕΧΝΟΛΟΓΙΑ;<br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2b05HmLhXREaNXypwgkXVQJRPJOXt5_uvKJ91Zm7rDGMgGLi5X_qqY-b9uqxOGutnQ4BdcyCAjSN3JKUO7haP2MO653_ApWdcJpBLZn0gSq8JHERnp8OYEAB9IR7qnL8Le216B63EuIlt/s1600/ipod.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2b05HmLhXREaNXypwgkXVQJRPJOXt5_uvKJ91Zm7rDGMgGLi5X_qqY-b9uqxOGutnQ4BdcyCAjSN3JKUO7haP2MO653_ApWdcJpBLZn0gSq8JHERnp8OYEAB9IR7qnL8Le216B63EuIlt/s1600/ipod.jpg" /></a><br />
Τι είναι ΕΠΙΚΟΙΝΩΝΙΑ;<br />
<br />
Τι είναι ΤΕΧΝΟΛΟΓΙΑ ΕΠΙΚΟΙΝΩΝΙΩΝ; <br />
<br />
Σχολικό Βιβλίο: <a href="http://digitalschool.minedu.gov.gr/courses/DSGL-B110/">http://digitalschool.minedu.gov.gr/courses/DSGL-B110/</a><br />
<br />
<b>Παρουσίαση</b>: ΟρισμοίeTwin-Comeniushttp://www.blogger.com/profile/15190473747304593171noreply@blogger.com0tag:blogger.com,1999:blog-1191097553612287305.post-29934535711009378652012-09-23T08:37:00.001-07:002012-09-23T08:38:13.283-07:00Getting started... as a gameΚαλή σχολική χρονιά 2012-13!<br />
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Το παιχνίδι είναι χαρά! Το μάθημα?<br />
<br />
<a href="http://www.gamedesign.jp/flash/chatnoir/chatnoir.swf" target="_blank">Χρόνου φείδου!!!!</a><br />
<br />eTwin-Comeniushttp://www.blogger.com/profile/15190473747304593171noreply@blogger.com0