 | Euclides - 1853 - 146 pages
...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... | |
 | Euclides - Geometry - 1853 - 176 pages
...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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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,... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...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... | |
 | Euclides - 1855 - 270 pages
...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... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...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... | |
 | 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... | |
 | Elias Loomis - Conic sections - 1857 - 242 pages
...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... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...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... | |
 | 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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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. 
