| Charles Davies - Geometry - 1886 - 334 pages
...coincide with the parts of the triangle DEF, and therefore, the two triangles arc equal THEOREM V1. **In an isosceles triangle the angles opposite the equal sides are equal** to each other. r* Let ABC be an isosceles triangle, having the side AC equal to the side CB: . then... | |
| Charles Davies - Geometry - 1854 - 436 pages
...: thus, the equal angles D and A, lie opposite the equal sides EF and BC. PROPOSITION XI. THEOREM. **In an isosceles triangle, the angles opposite the equal sides are equal. Let** BAC be an isosceles triangle, having the side BA equal to the side AC; then will the angle C be equal... | |
| American Association for the Advancement of Science - Science - 1855 - 398 pages
...suppose the observer at O', then O' M = his latitude, and"PM= 90° ; therefore P Di = J (90° -f lat.). **In an isosceles triangle the angles opposite the equal sides are equal:** therefore the angle DPC = DOC, but DOC is the azimuth of lie object ; therefore the hour-angle of the... | |
| Benjamin Greenleaf - Geometry - 1862 - 514 pages
...the side С A equal to FD, and the angle A equal to the angle D. PROPOSITION VII. — THEOREM. 56. **In an isosceles triangle, the angles opposite the equal sides are equal. Let** ABC be an isosceles triangle, in which the side AB is equal to the side А С ; then will the angle... | |
| Benjamin Greenleaf - Geometry - 1862 - 520 pages
...ED, the side CA equal to FD, and the angle A equal to the angle D. PROPOSITION VII. — THEORKM. 56. **In an isosceles triangle, the angles opposite the equal sides are equal. Let** ABC be an isosceles triangle, in which the side AB is equal to the side AC ; then will the angle B... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...ED, the side CA equal to FD, and the angle A equal to the angle D. PROPOSITION VII. — THEOREM. 56. **In an isosceles triangle, the angles opposite the equal sides are equal. Let** ABC be an isosceles triangle, in which the side AB is equal to the side AC ; then will the angle B... | |
| Benjamin Greenleaf - Geometry - 1868 - 338 pages
...ED, the side CA equal to FD, and the angle A equal to the angle D. PROPOSITION VII. — THEOREM. 56. **In an isosceles triangle, the angles opposite the equal sides are equal. Let** ABC be an isosceles triangle, in which the side AB is equal to the side AC ; then will the angle B... | |
| Edward Brooks - Geometry - 1868 - 294 pages
...way it may be shown that the angle C equals F, and the angle B equals E. Therefore, etc. THEOREM X. **In an isosceles triangle the angles opposite the equal sides are equal. Let** ABC be an isosceles triangle, having the side AC equal to the side BC; then will the angle A be equal... | |
| Trinity College (Hartford, Conn.) - 1870 - 1010 pages
...line at a given point. 2. Explain how to divide a given line' in extreme and mean ratio. 3. Prove that **in an isosceles triangle the angles opposite the equal sides are equal.** 4. Prove that an angle formed by two secants intersecting without the circumference of a circle is... | |
| Edward Olney - Geometry - 1872 - 566 pages
...the chords are equal, the arcs are, and hence the angles subtended by these arcs. 227. COR. 3. — **In an isosceles triangle the angles opposite the equal sides are equal;** and, conversely, if two angles of a triangle are equal, the sides opposite are equal, and the triangle... | |
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