 | Adrien Marie Legendre - Geometry - 1822 - 367 pages
...as the base, which is not equal to either of the other two. PROPOSITION XIII. THEOREM. Conversely, if two angles of a triangle are equal, the sides opposite them will be equal, and the triangle will be isosceles. LET the angle ABC be equal to ACB ; then will the... | |
 | Adrien Marie Legendre - Geometry - 1838 - 386 pages
...assumed 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, 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,... | |
 | Charles Davies - Trigonometry - 1849 - 384 pages
...assumed 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, 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,... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...assumed 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 - Geometry - 1854 - 436 pages
...assumed 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 - Geometry - 1857 - 444 pages
...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... | |
 | William E. Bell - Bridge building - 1857 - 254 pages
...middle point, for the two angles at D are each right angles. (Prop. X.) Proposition XVIII. Theorem. When two angles of a triangle are equal, the sides opposite...them are also equal, and the triangle is isosceles. Let the angle A=B, then will the sides AC and BC be equal also. Draw CD so as to bisect the angle C,... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 292 pages
...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 - Geometry - 1868 - 294 pages
...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...them 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.... | |
 | Eli Todd Tappan - Geometry - 1868 - 436 pages
...(257). 274. Corollary — In a scalene triangle, no two angles are equal. EQUAL ANGLE8. 275. 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... | |
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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. 
