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" BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26. "
Elements of Geometry and Conic Sections - Page 18
by Elias Loomis - 1857 - 226 pages
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1856 - 346 pages
...which is adjacent \o these equal angles, common to the two triangles ; therefore their other sides are equal, each to each, and the third angle of the one to the ihird angle of the other (26. 1.) ; viz. the side AB to the side CD, and AC to BD, and the angle BAC...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...in each, or the sides opposite to them, then shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other. CONSTRUCTION. — P. 3. From the greater of two lines to cut off a part equal to the less. Pst. 1....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...which is. adjacent to their equal angles, common to the two triangles; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i. 26.) namely, the side AB to the side CD, and AC to BD, and the angle BA C to the angle BD C. And...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...each ; then shall the other sides be equal, each to each ; and the triangles shall be equal ; and also the third angle of the one to the third angle of the other. Or, if two angles and a side in one triangle be respectively CE equal to two angles and a corresponding...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...and the side adjacent to the equal aii'/les in each triangle also equal, then shall the other sides be equal, each to each, and the third angle of the one equal to the third angle of the other. 2. In an obtuse angled triangle, if a perpendicular be let fall...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...adjacent to their equal angles, is common to the two triangles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other (i. 26)— viz., the side AB to the side CD, and AC to BD, and the angle BAC to the angle BDC. And...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...adjacent to the equal angles in each, is common to both triangles. 4. Therefore the other sides are equal, each to each, and the third angle of the one to the third angle of the other; namely, AB equal to CD, AC to BD, and the angle BAG to the angle CDB. (1.26.) 5. And because the angle...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 pages
...the sides opposite to equal anales in eacb; then their other sides are ,.qual, each to each, and also the third angle of the one to the third angle of the other. For, if AB be not equal to DE one of them must be greater than the other. Let AB be the greater of...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 pages
...in each, or the sides opposite to them, then shall the othei sides be equal, each to each, and also the third angle of the one to the third angle of the other. CON.— P. 3, P»t. 1.— DEM.— P. 4, Ax I, P. 16. E. 1 Hyp. 1. In As ABC, DBF, let £_ ABC = /....
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...is adjacent to their equal angles, common to ~" the two triangles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i. 26.) namely, the side ABto the side CD, and AC to BD, and the angle BA C to the angle BD C. And...
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