 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...equal angles : 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 A0\ then will the angle 0 be... | |
 | 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
...equal angles : 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... | |
 | 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 - 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 sides are equal. Let ABC be an isosceles triangle, in which the side AB is equal to the side AC ; then will the angle... | |
 | 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 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 - 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... | |
 | 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... | |
 | 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 sides are equal. Let ABC be an isosceles triangle, in which the side AB is equal to the side AC ; then will the angle... | |
 | Benjamin Peirce - 1870 - 200 pages
...direction AC, because the angle D is equal to the angle A ; the point F will fall upon C, because .Wis equal to AC; and the lines FE and BC will coincide,...as to bisect the angle ABC Then the two triangles ADR and DBC will be equal, since they have two sides AB, BD, and the included angle ABD, respectively... | |
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Theorem. In an isosceles triangle the angles opposite the equal sides are equal. 
