 | John Playfair - Geometry - 1855 - 334 pages
...angles, to which the equal sides are opposite, shall ^ — be equal, each to each, " O T>3 I' For, if the triangle ABC be applied to the triangle DEF, so that th« point A may be on D, and the straight line AB upon DE ; the point B shall coincide with the point... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...then will the triangle ABC be equal to the triangle DEF. For, if the triangle ABC is ap- B c K plied to the triangle DEF, so that the point A may be on D, and the straight line AB upon DE, the point B will coincide with the point E, because AB is equal to DE ; and AB, coinciding... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. For, if the triangle ABC Toe applied to the triangle DEF, so that the point A may be on D, and the straight line AB on DE; then the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with... | |
 | Euclides - 1860 - 288 pages
...base BC equal to the base EF ; to prove that the angle BAC is equal to the angle EDF. (Const.) For, if the triangle ABC be applied to the triangle DEF, so that the point B be on' E, and the straight line BC upon EF, (Dem.) the point C shall also coincide with the point... | |
 | Euclides - 1862 - 172 pages
...equal, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFS. DEMONSTRATION For, if the triangle ABC be applied to the triangle DEF,...the point A may be on D, and the straight line AB upon DE ; because AB is equal to DE, therefore the point B shall coincide with the point E ; and AB... | |
 | Euclides - 1863 - 122 pages
...of the one is equal to the angle (EDF) contained bg the two sides equal to them, of the other. For, if the triangle ABC be applied to the triangle DEF, so that the point B shall be on E, and the rase BC upon the baseEF; then,the point C shall coincide with the point F,... | |
 | Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...side AB equal to the included side DE. It is to be proved that these triangles are equal throughout. If the triangle ABC be applied to the triangle DEF, so that the side AB shall coincide with its equal DE, then because the angle A is equal to the angle D, the side... | |
 | Euclides - 1864 - 262 pages
...viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. For, if the triangle AB C lie applied to the triangle DEF, so that the point A may be on D, and the straight line AB on DE; then the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with... | |
 | Euclides - 1864 - 448 pages
...viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. For, if the triangle ^.BCbe applied to the triangle DEF, so that the point A may be on D, and the straight line AB on DE; then the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with... | |
 | Euclides - 1865 - 80 pages
...equal to D, the base BC shall be equal to the base EF, and the triangles shall be every way equal. For if the triangle ABC be applied to the triangle DEF,...on D, and the straight line AB on DE, the point B shall coincide with the point E, because AB is equal to DE ; and AC shall coincide with DF, because... | |
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DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide... 
