 | Adrien Marie Legendre - 1836 - 394 σελίδες
...two. PROPOSITION XII. THEOREM. Conversely, if two angles of a triangle are equal, the sides oppo site them are also equal, and the triangle is isosceles Let the angle ABC be equal to the angle ACB ; then will the side AC be equal to the side AB. For, if these sides... | |
 | Adrien Marie Legendre - 1838 - 382 σελίδες
...as the base, which is not equal to either of the other two. PROPOSITION XII. THEOREM. Conversely, if two angles of a triangle are equal, the sides opposite...equal, and the triangle is isosceles. Let the angle ABf be equal to the angle ACB ; then will the side AC be equal to the side AB. • For, if these sides... | |
 | Nicholas Tillinghast - 1844 - 108 σελίδες
...side which is not equal to either of the other two. PROP. VII. THEOREM. (Converse of Prop. VI.) If two angles of a triangle are equal, the sides opposite...them are also equal, and the triangle is isosceles. In the triangle ABC, let the angles ABC, BAG, be equal, then we have to prove that the sides AC, BC,will... | |
 | Charles Davies - 1849 - 372 σελίδες
...as the base, which is not equal to either of the other two. PROPOSITION XII. THEOREM. Conversely, if two angles of a triangle are equal, the sides opposite...equal, and the triangle is isosceles. Let the angle ABC be equal to the angle ACB; then will the side AC be equal to the side AB. , For, if these sides... | |
 | Adrien Marie Legendre - 1852 - 436 σελίδες
...as the base, which is not equal to either of the other two. PROPOSITION XII. THEOEEM. Conversely: If two angles of a triangle are equal, the sides opposite them are also equal, or, the triangle is isosceles. In the triangle BAC, let the angle B be equal to the angle ACB ; then... | |
 | Charles Davies - 1854 - 436 σελίδες
...as the base, which is not equal to either of the other two. PROPOSITION XII. THEOREM. Conversely: If two angles of a triangle are equal, the sides opposite them are also equal, or, the triangle is isosceles. In the triangle BAC, let the angle B be equal to the angle A CB ; then... | |
 | Adrien Marie Legendre, Charles Davies - 1857 - 442 σελίδες
...the base, which is not equal to either of the other two, PROPOSITION XII. THEOREM. Conversely : If two angles of a triangle are equal, the sides opposite them are also equal, or, the triangle is isosceles. In the triangle BAC, let the angle B be equal to the angle A CB ; then... | |
 | William E. Bell - 1859 - 226 σελίδες
...angles of a triangle are equal, the sides opposite /hnn are also equal, and the triangle is isotceles. Let the angle A=B, then will the sides AC and BC be...then will the two triangles be equiangular (Prop. XV1., Cor. 3) ; and the side CD being common, the two triangles are equal (Prop. lX.); and the side... | |
 | Eli Todd Tappan - 1864 - 288 σελίδες
...374. Corollary. — In a scalene triangle, no two angles are equal. EQUAL ANGLES. 375. Theorem. — If two angles of a triangle are equal, the sides opposite them are equal. For if these sides were unequal, the angles opposite to them would be unequal (272), which is... | |
 | Edward Brooks - 1868 - 284 σελίδες
...equilateral triangle is equiangular ; that is, it has all its angles equal. THEOREM XI. Conversely.—If two angles of a triangle are equal, the sides opposite...are also equal, and the triangle is isosceles. Let ABC be a triangle, having the angle A equal to the angle B; then will the side AC be equal to BC. For,... | |
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Conversely, if two angles of a triangle are equal, the sides opposite them are also equal, and the triangle is isosceles. 
