 | Adrien Marie Legendre, John Farrar - 1825 - 294 páginas
...triangle, the base is that sidewhich is not equal to one of the others. THEOREM. / W; 48. Reciprocally, if two angles of a triangle are equal, the opposite sides are equal, and the triangle is isosceles. Fig.29. Demonstration. Let the angle ABC ' = ACB (Jig. 29), the side... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 280 páginas
...triangle, the base is that side which is not equal to one of the others. THEOREM. / 1 48. Reciprocally, if two angles of a triangle are equal, the opposite sides are equal, and the triangle is isosceles. Fig.sr. Demonstration. Let the angle ABC = ACB (fig. 29), the side AC... | |
 | Adrien Marie Legendre - 1825 - 570 páginas
...triangle, the base is that side which is not equal to one of the others. THEOREM. 48. Reciprocally, if two angles of a triangle are equal, the opposite sides are equal, and the triangle is isosceles. Demonstration. Let the angle ABC — ACB (fig. 29), the side AC will... | |
 | John Radford Young - 1827 - 246 páginas
...2. Every equilateral triangle is also equiangular. PROPOSITION x. THEOREM. (Converse of Prop. IX.) If two angles of a triangle are equal, the opposite sides are equal. to BC, CA, and the included angle, by hypothesis, it follows that the same triangles are equal (Prop.... | |
 | Adrien Marie Legendre - 1841 - 288 páginas
...triangle, the base is that side which is not equal to one of the others. THEOREM. 48. Reciprocally, if two angles of a triangle are equal, the opposite sides are equal, and the triangle is isosceles. Fig. 29. Demonstration. Let the angle ABC = ACB (fig. 29), the side... | |
 | Nathan Scholfield - 1845 - 894 páginas
...angle. Cor. 2. Every equilateral triangle is also equiangular. PROPOSITION XV. THEOREM. Conversely, if two angles of a triangle are equal, the opposite sides are equal, and the triangle in isiosccles. In the triangle ABC, let the angles ABC, ACB, be equal; then, if it... | |
 | Benjamin Greenleaf - 1862 - 518 páginas
...angle. 59. Cor. 3. Every equilateral triangle is also equiangular. PROPOSITION VIII. — THEOREM. 60. If two angles of a triangle are equal, the opposite sides are also equal, and the triangle is isosceles. Let ABC be a triangle having the angle B equal to the angle... | |
 | Benjamin Greenleaf - 1861 - 638 páginas
...angle. 59. Cor. 3. Every equilateral triangle is also equiangular. PROPOSITION VIII. — THEOREM. 60. If two angles of a triangle are equal, the opposite sides are also equal, and the triangle is isosceles. Let ABC be a triangle having the an- A gle B equal to the... | |
 | Benjamin Greenleaf - 1863 - 504 páginas
...angle. 59. Cor. 3. Every equilateral triangle is also equiangular. PROPOSITION VIII. — THEOREM. 60. If two angles of a triangle are equal, the opposite sides are also equal, and the triangle is isosceles. Let ABC be a triangle having the angle B equal to the angle... | |
 | 1872 - 398 páginas
...to two sides and the included angle of the other, the triangles are equal in all respects. II. When two angles of a triangle are equal the opposite sides are equal. Demonstration. Let ABC be the triangle, and let AD the bisector of ^A also bisect the base EC, then... | |
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If two angles of a triangle are equal, the opposite sides are also equal, and the triangle is isosceles. 
