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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. "
A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ... - Pagina 53
door Daniel Cresswell - 1816 - 294 pagina’s
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pagina’s
...side 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 (I. 26.), viz. 3. The side AB is equal to the side CD, and AC to BD, and the angle BAC is equal to...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 pagina’s
...side b С 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 (i. 26), viz. the side ab to the side Сd, and a С to bd, and the angle baС equal to the angle bd...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...side 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 tl,e one to the third angle of the other (26. I.), viz., the side AB to the side CD, and AC to BD,...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - 1854 - 534 pagina’s
...DE) opposite to equal angles in each ; 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. First let В С = EF, the sides adjacent to the angles that are equal each to each. Then if AB, DE...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pagina’s
...the sides opposite to equal angles in each ¡then their other sides are equal, each to each, and also the third angle of the one to the third angle of the other. Let ABС, D EF be two triangles which havs the two angles ABС, BСA of the one, equal to the two angles...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pagina’s
...sides opposite to equal angles in each ; 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. 6. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - 346 pagina’s
...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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Elements of Geometry and Conic Sections

Elias Loomis - 1857 - 242 pagina’s
...included between ihese 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 othei (Prop. VII.), vh. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 pagina’s
...the included side of the other, each to each, the two triangles will be equal, the other sides will be equal, each to each, and the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles having the angle B equal to E, the angle C equal to F, and the included...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pagina’s
...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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