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" FC; then, because each of the angles BAC, BAG is a right angle (Def. 30.), the two straight lines AC, AG upon the opposite sides of AB, make with it at the point A the adjacent angles equal to two right angles; therefore CA is in the same straight line... "
Alma Mater, Or, Seven Years at the University of Cambridge - Page 147
by John Martin Frederick Wright - 1827
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...BD or CE, and join AD, FC ; then, because each of the angles BAC, BAG is a right angle (25. def.), the two straight lines AC, AG upon the opposite sides...point A the adjacent angles equal to two right angles ; therefore CA is in the same straight line (14. 1.) with AG ; for the same reason, AB and AH are in...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...BD, or CE; draw also AD, FC: then, because each of the angles BAC, BAG is a right angle (30. Def.), the two straight lines AC, AG, upon the opposite sides...point A the adjacent angles equal to two right angles ; therefore CA is in the same straight line (14. 1.) with AG; for the same reason, AB and AH are in...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...draw (I. 31) AL parallel to BD, or CE, and join AD and FC. Then, because each of the angles BAC, BAG is a right angle, the two straight lines AC, AG upon...point A, the adjacent angles equal to two right angles ; therefore CA is in the same straight line (I. 14) with AG. For the same reason, AB and AH are in...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...through A drawf AL parallel to BD or CE, and join AD, FC. Then, because each of the angles BACJ, BAG is a right angle || the two straight lines AC, AG,...point A the adjacent angles equal to two right angles ; therefore CA is in the same straight line§ with AG ; " § i4. i. For the same reason, AB and AH...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...because the angle BAC is a right angle, (hyp.) and that the angle BAG is a right angle, (def. 30.) the two straight lines AC, AG upon the opposite sides...point A the adjacent angles equal to two right angles ; therefore CA is in the same straight line with AG. (i. 14.) For the same reason, BA and AH are in...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...BD or CE, and join AD, FC ; then, because each of the angles BAC, BAG is a right angle (25. def.), the two straight lines AC, AG upon the opposite sides...point A the adjacent angles equal to two right angles ; therefore CA is in the same straight line (14. 1.) with AG ; for the same reason, AB and AH are in...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...FC. Then, because each of the angles BAC, BAG is a right angle, the two straight lines AC, AG, upon opposite sides of AB, make with it at the point A the adjacent angles equal to two right angles ; therefore CA is in the same straight line with AG (1. 14) : For the same reason, AB and AH are in...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...to BD or CE, and join AD, FC; then, because each of the angles BAC, BAG is a right angle (Def. 30.), the two straight lines AC, AG upon the opposite sides...point A the adjacent angles equal to two right angles; therefore CA is in the same straight line (i. 14.) with AG; for the same reason, AB and AH are in the...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...to BD, or CE, and join AD, FC; Then, because each of the 30 Def. angles BAC, BAG is F aright angle 0 the two straight lines AC, AG, upon the opposite sides...A, the adjacent angles equal to two right angles; therefore CA is in the same H for the same reason, AB and AH are in the same straight BOOKJ. line;...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...or CE, and join AD, FC. Then, because each of the angles BAC (Hyp.), BAG is a right angle (30 Drf.) the two straight lines AC, AG, upon the opposite sides...point A the adjacent angles equal to two right angles ; therefore CA is in the same straight line (14. i.) with AG ; 28 And because the angle DEC is equal...
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