| George Albert Wentworth - Geometry - 1888 - 464 pages
...to the hypotenuse and an acute angle of the other. 149. COR. 2. Two right triangles are equal if a **side and an acute angle of the one are equal respectively to** a side and homologous acute angle of the other. PROPOSITION XXVI. THEOREM. 150. Two triangles are equal... | |
| Education - 1893 - 568 pages
...angle of one are equal, respectively, to two sides and the included angle of the other. 13. Theorem: i. **In an isosceles triangle, the angles opposite the equal sides are equal.** 2. If two angles of a triangle are equal, the opposite sides are equal, and the triangle is isosceles.... | |
| Seth Thayer Stewart - Geometry - 1893 - 256 pages
...SPHERICAL TRIANGLES. 5§1. Many propositions are equally true~with spherical and plane triangles ; thus, I. **In an isosceles triangle, the angles opposite the equal sides are equal.** Draw arc of great О from vertex to middle of base. The two Дs have respectively = sides (hyp. and... | |
| William Chauvenet - 1893 - 340 pages
...the one are respectively equal to a side and the two adjacent angles of the other. PROPOSITION VIII. **In an isosceles triangle the angles opposite the equal sides are equal.** Corollary. The straight line bisecting the vertical angle of an isosceles triangle bisects the base,... | |
| Webster Wells - Geometry - 1894 - 400 pages
...conclusions is contrary to the hypothesis that BC is greater than EF. PROPOSITION XXX. THEOREM. 91. **In an isosceles triangle, the angles opposite the equal sides are equal. Let** AC and BC be the equal sides of the isosceles triangle ABC. To prove ZA = Z B. Draw CD perpendicular... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...HARVARD COLLEGE, June, 1891. In solving problems use fur w the approximate value 3\. 1. Prove that **in an isosceles triangle the angles opposite the equal sides are equal** to each other. The area of a certain isosceles triangle is 50 square feet and each of its equal sides... | |
| Adelia Roberts Hornbrook - Geometry - 1895 - 224 pages
...that the equal sides shall coincide, and show the truth of the following theorem : PRINCIPLE 17. — **In an isosceles triangle the angles opposite the equal sides are equal.** 13. In the isosceles triangle ABC the angle BAC is 70°. How many degrees are there in each exterior... | |
| George Albert Wentworth - Geometry - 1896 - 68 pages
...to the hypotenuse and an acute angle of the other. 149. Cor. 2. Two right triangles are equal if a **side and an acute angle of the one are equal respectively to** a side and homologous acute angle of the other. 150. Two triangles are equal if two sides and the included... | |
| Electrical engineering - 1897 - 672 pages
...to the base extended. Thus, in Figs. 33 and C 34, BD is the altitude FIG. 33. of the triangles ABC. **In an isosceles triangle, the angles opposite the equal sides are equal.** Thus, in Fig. 35, AB = BC; hence, angle C= angle A. In any isosceles triangle, if a perpendicular be... | |
| George Washington Hull - Geometry - 1897 - 408 pages
...contrary to the hypothesis that AB is greater than DE. Hence Z C> Z F. QKD PROPOSITION XXIV. THEOREM. 63. **In an isosceles triangle, the angles opposite the equal sides are equal.** D Given—The triangle ABC, isosceles, with AC= EC. To Prove— Z A — Z B. Dem.—Draw CD perpendicular... | |
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