 | 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 angle ABC to the angle DEF, and the angle ACB to the angle DFE. Therefore, if two triangles, &c. PROPOSITION VII. THEOREM. If two triangles have two...included sides BC, EF equal to each other; then will the B CE triangle ABC be equal to the triangle DEF. For, if the triangle ABC is applied to the triangle... | |
 | 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.... | |
 | Elias Loomis - Conic sections - 1860 - 246 pages
...and the angle ACB to tfte angle DFE. Therefore, if two triaii 0 ^s, &c. PROPOSITION VII. THEOREM. 11 If two triangles have two angles, and the included...included sides BC, EF equal to each other; then will the B CE triangle ABC be equal to the triangle DEF. For, if the triangle ABC is applied to the triangle... | |
 | 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... | |
 | 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... | |
 | Elias Loomis - Conic sections - 1861 - 244 pages
...the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Therefore, if two triangles,, &c. PROPOSITION vII. THEOREM. If two triangles have two...equal to F, and the included sides BC, EF equal to __ each other; then will the B CIS E» triangle ABC be equal to the triangle DEF. For, if the triangle... | |
 | 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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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. 
