| Harvard University - Geometry - 1899 - 39 pages
...respectively equal to a side and the two adjacent angles of the other, the triangles are equal. THEOREM III. **In an isosceles triangle the angles opposite the equal sides are equal** „ Conversely, if two angles of a triangle are equal, the triangle is isosceles. THEOREM IV. If two... | |
| William James Milne - Geometry, Modern - 1899 - 258 pages
...the «qual sides compare in size ? 2. How do the angles of an equilateral triangle .compare? Theorem. **In an isosceles triangle the angles opposite the equal sides are equal.** Data : Any isosceles triangle, as ABC, in which C = BC. To prove angle A = angle B. Proof. Draw CD... | |
| Adelia Roberts Hornbrook - Arithmetic - 1900 - 428 pages
...isosceles triangle so that the equal sides coincide. Can you see that the following statement is true ? **In an isosceles triangle the angles opposite the equal sides are equal.** 352. How many degrees are there in each angle of the isosceles triangle ABC? Explain. 353. How many... | |
| 1900 - 732 pages
...the base, or to the base extended. Thus, in Figs. 33 and 34, BD is the altitude 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... | |
| International Correspondence Schools - Coal mines and mining - 1900 - 712 pages
...base, or to the base extended. Thus, in Figs. 33 and altitude in BD is the _ 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... | |
| Alan Sanders - Geometry, Modern - 1901 - 260 pages
...of the other pair of vertical angles. Find the values of the four angles. PROPOSITION X. THEOREM 81. **In an isosceles triangle, the angles opposite the equal sides are equal. Let** ABC be an isosceles A, having AB = BC. To Prove Z A = Z C. Proof. Draw BD bisecting AC. (§ 55.) B... | |
| Edward Brooks - 1901 - 278 pages
...triangles coincide in all their parts and are equal. Therefore, etc. PROPOSITION XXI. — THEOREM. **In an isosceles triangle the angles opposite the equal sides are equal.** Given. — Let ABC be an isosceles triangle having the side AC equal to the side BC. To Prove. —... | |
| Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 116 pages
...the included anyle, of one equal, respectively, to the corresponding parts of the other. 4. Theorem. **In an isosceles triangle the angles opposite the equal sides are equal.** Bisect the angle at the vertex and use (3). 5. Theorem. The perpendiculars erected at the middle points... | |
| Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 122 pages
...the included angle, of one equal, respectively, to the corresponding parts of the other. 4. Theorem. **In an isosceles triangle the angles opposite the equal sides are equal.** Bisect the angle at the vertex and use (3). 5. Theorem. The perpendiculars erected at the middle points... | |
| Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 120 pages
...the included angle, of one Kqual, respectively, to the corresponding parts of the other. 4. Theorem. **In an isosceles triangle the angles opposite the equal sides are equal.** Bisect the angle at the vertex and use (3). 5. Theorem. The perpendiculars erected at the middle points... | |
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