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الكتب الكتب 111 - 120 من 121 فيWhen a straight line standing on another straight line makes the adjacent angles....
" When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it. "
The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ... - الصفحة 10
بواسطة Alexander Ingram - 1799 - عدد الصفحات: 351
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Geometry: Plane and Fancy

David A. Singer - 1998 - عدد الصفحات: 162
...know about right angles. Euclid's tenth definition says: When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that...
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Mathematical Expeditions: Chronicles by the Explorers

Reinhard Laubenbacher, David Pengelley - 2000 - عدد الصفحات: 278
...postulate itself. Euclid, from Elements BOOK I. DEFINITION 10. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that...
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Space from Zeno to Einstein: Classic Readings with a Contemporary Commentary

Nick Huggett - 1999 - عدد الصفحات: 274
...angle are straight, the angle is called rectilineal. 10. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that...
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A Course in Modern Geometries

Judith Cederberg - 2004 - عدد الصفحات: 441
...angle are straight, the angle is called rectilineal. 10. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and Reprinted with permission of Cambridge University Press from The Thirteen...
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A Mathematics Sampler: Topics for the Liberal Arts

William P. Berlinghoff, Kerry E. Grant, Dale Skrien - 2001 - عدد الصفحات: 602
...familiar figures in more or less familiar ways. For example: « When a straight line crossing a straight line makes the adjacent angles equal to one another, each of the equal angles is called a right angle, and the straight line crossing the other is called a perpendicular...
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Geometry: Our Cultural Heritage

Audun Holme - 2002 - عدد الصفحات: 378
...the angle are straight, the angle is caller rectilinear. 9. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the angles is right, and the straight line standing on the other is called the perpendicular to the one on which...
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Classics in the History of Greek Mathematics

Jean Christianidis - 2004 - عدد الصفحات: 474
...perpendicular to AT and Definition I.10, which states that “When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the right angles is right, and the straight line standing on the other is called a perpendicular to that...
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Visualization, Explanation and Reasoning Styles in Mathematics

Paolo Mancosu, Klaus Frovin Jørgensen, S.A. Pedersen, Stig Andur Pedersen - 2005 - عدد الصفحات: 300
...of (rectilinear) angles (trans. Heath 1926, I, 181): 1 0. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right [...]. 1 1 . An obtuse angle is an angle greater than a right angle. 12. An acute...
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Euclid in China: The Genesis of the First Chinese Translation of Euclid's ...

Peter M. Engelfriet - 1998 - عدد الصفحات: 488
...is not necessary to define a rectilineal angle). 10. SJt When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that...
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Euclid in Greek

...line on which it stands.' The full translation then is: 'When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that...
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