| James Howard Gore - Geometry - 1898 - 232 pages
...hypotenuse and an acute angle of the other. 90. COR. 2. Tu-o right-angled triangles are equal u-7ien a **side and an acute angle of the one are equal respectively to** a side and homologous acute angle of the other. • PROPOSITION XV. THEOREM. 91. Two triangles are... | |
| Webster Wells - Geometry - 1898 - 284 pages
...hypothesi£ that BC is > EF. Then, if ZA can be neither equal to ZD, nor < ZD, ZA> PROP. XXX. THEOREM. 93. **In an isosceles triangle, the angles opposite the equal sides are equal.** D Given AC and BC the equal sides of isosceles A ABC. To Prove ZA = Z B. Proof. Draw line CD _L AB.... | |
| International Correspondence Schools - Surveying - 1898 - 518 pages
...to the base produced. Thus, in Figs. 32 and33, CBD is the altitude of the triangles AB C. PlC. 47. **In an isosceles triangle, the angles opposite the equal sides are equal.** Thus, in Fig. 34, AB = BC; hence, angle C = angle A. Therefore, if two angles of any triangle are equal,... | |
| George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...angle of the other. 144. Two right triangles are equal if their legs are equal, each to each. 145. **In an isosceles triangle the angles opposite the equal sides are equal.** 147. If two angles of a triangle are equal, the sides opposite the equal angles are equal, and the... | |
| International Correspondence Schools - Civil engineering - 1899 - 722 pages
...the base produced. Thus, in Figs. 32 and33, C BD is the altitude of the triangles AB C. Via. ! 47. **In an isosceles triangle, the angles opposite the equal sides are equal.** Thus, in Fig. 34, AB — £C; hence, angle C = angle A. Therefore, if two angles of any triangle are... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...angles are opposite the legs. Consult Prop. 37, Cor. III. and Prop. 8. Proposition 41. Theorem. 52. **In an isosceles triangle, the angles opposite the equal sides are equal.** HINT. Draw a line bisecting the vertical angle. COB. An equilateral triangle is also equiangular. Proposition... | |
| William James Milne - Geometry - 1899 - 404 pages
...aqual 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 To prove angle A = angle B. Proof. Draw CD bisecting... | |
| Webster Wells - Geometry - 1899 - 424 pages
...But each of these conclusions is contrary to the hypothesis that BC is > EF. PROP. XXX. THEOREM. 93. **In an isosceles triangle, the angles opposite the equal sides are equal.** DB Given AC and BC the equal sides of isosceles A ABC. To Prove ZA = Z B. Proof. Draw line CD _L AB.... | |
| George Albert Wentworth - Geometry, Modern - 1899 - 276 pages
...the converge of a theorem is not always true. BOOK I. PLANE GEOMETRY. PROPOSITION XXII. THEOREM. 145. **In an isosceles triangle the angles opposite the equal sides are equal.** • B na Let ABC be an isosceles triangle, having AB and AC equal. To prove that ZB = Z C. . Proof.... | |
| George Albert Wentworth - Geometry - 1899 - 496 pages
...always true, just as the converse of a theorem is not always true. PROPOSITION XXII. THEOREM. 145. **In an isosceles triangle the angles opposite the equal sides are equal.** BDC Let ABC be an isosceles triangle, having AB and AC equal. To prove that ZB = Z C. Proof. Suppose... | |
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