 | Charles Davies - Geometry - 1886 - 340 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... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...equal to the sides and angles of the other, each to each. PROPOSITION X. In an isosceles spherical triangle, the angles opposite the equal sides are equal. Let ABC be an isosceles spherical triangle, in which AB and AC are the equal sides ; then will |_ B = \_ C. For, connect the... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 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. Let ABC be an isosceles triangle, in which the side AB is equal to the side А С ; then will the angle В be equal to the angle C. Conceive the... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 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. Let ABC be an isosceles triangle, in which the side AB is equal to the side AC ; then will the angle B be equal to the angle C. the straight line... | |
 | 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. Let ABC be an isosceles triangle, in which the side AB is equal to the side AC ; then will the angle B be equal to the angle C. the straight line... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 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. Let ABC be an isosceles triangle, in which the side AB is equal to the side AC ; then will the angle B be equal to the angle C. ELEMENTS OF GEOMETRY.... | |
 | Edward Brooks - Geometry - 1868 - 284 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 to the angle B. Join the vertex... | |
 | Benjamin Greenleaf - 1869 - 516 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. Let ABC be an isosceles triangle, in which the side AB is equal to the side AC ; then will the angle B be equal to the angle C. ELEMENTS OP GEOMETRY.... | |
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In an isosceles triangle, the angles opposite the equal sides are equal. 
