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" 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. "
Euclid, book i., propositions i. to xxvi., with exercises and alternative ... - Side 4
av Euclides - 1877
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The First Six Books of the Elements of Euclid: With Notes

Euclid - 1833 - 216 sider
...the sides. 11. When a right line standing on another makes Fig. 3. the adjacent angles (ABC and ABD) equal to one another, each of these angles is called a right angle ; B and the right line, which stands on the other, is called a perpendicular to it. Fig. 1. 12. The...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 sider
...centre G * : Therefore the angle ADG is equal0 to the angle GDB : But when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of the angles is a right angle :d Therefore the angle GDB is a right angle: But FDB is likewise a right...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 sider
...letter, as A, always denotes the angular point. 10. (Eue. i. det 10.) When a straight line standing; upon another straight line makes the adjacent angles equal to one another, each of them is called a right angle, and the straight line which stands upon the other is called a perpendicular...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 sider
...of two straight lines to one another, which meet together but are not in the same straight line. 7. When a straight line standing on another straight...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 488 sider
...angle at a point, it may be expressed by a letter placed ' at that point ; as the angle at E.' VII. When a straight line standing on another straight line makes the adjacent angles equal to one an, other, each of the angles is called a right angle; and the straight line which stands on the other...
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 172 sider
...figure bounded by three right lines, ibid. DF.F. VI. If one right line, standing upon another, make the adjacent angles equal to one another, each of these angles is called a ri9ht angle, and the right line which stands upon the other is called a perpendicular to it, 12. DEF....
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The Element of Geometry

John Playfair - 1836 - 148 sider
...therefore the angle ADG is equal (7. 1.) to the angle BDG ; but when a straight line standing upon another straight line, makes the adjacent angles equal to one another, each of the angles is a right angle (Def. 27. 1.); therefore BDG is a right angle ; but BDF is likewise a right...
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Treatise on Arithmetic, in Theory and Practice: With an Appendix, Containing ...

James Thomson (LL.D.) - 1837 - 296 sider
...divergence. II. When one straight line standing on another, makes with it two angles which are equal, each of these angles is called a RIGHT ANGLE ; and...which stands on the other is said to be PERPENDICULAR, Or AT RIGHT ANGLES, tO it, or tO be a PERPENDICULAR to it. III. An OBTUSE ANGLE is greater than a right...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 sider
...meet one another.^ The point in which the straight lines meet is called the vertex of the angle. 8. When a straight line standing on another straight...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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 sider
...therefore the angle ADG is equal (8. 1.) to the angle GDB : But when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of the angles is a right angle (7. def. i .) Therefore the angle GDB is a right angle : But FDB is likewise...
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