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" 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 be equal to the angle C. "
Elements of Geometry: With Practical Applications to Mensuration - Page 19
by Benjamin Greenleaf - 1868 - 320 pages
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Elements of Geometry and Trigonometry: With Applications in Mensuration

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...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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...
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Proceedings, Volume 8

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...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 468 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...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 pages
...the other three corresponding parts are also equal ; namely, the side В A equal to ED, the side С A equal to FD, and the angle A equal to the angle D....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 angle BAG to be bisected, or divided...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...to 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...AC ; then will the angle B be equal to the angle C. the straight line AD, making the angle BAD equal to DA C. Then the two triangles BAD, CAD have the...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 638 pages
...PROPOSITION VII. — THEOREM. 56. In an isosceles triangle, the angles opposite the equal sides are eejual. Let ABC be an isosceles triangle, in which the side...AC ; then will the angle B be equal to the angle C. the straight line AD, making the angle BAD equal to DA C. Then the two triangles BAD, CAD have the...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...side BA will take the direction ED ; therefore the point A will be found somewhere in the line E D. In like manner, since the angle C is equal to the...AC ; then will the angle B be equal to the angle C. the straight line AD, making the angle BAD equal to DA C. Then the two triangles BAD, CAD have the...
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Elements of Geometry and Trigonometry;: With Practical Applications

Benjamin Greenleaf - Geometry - 1863 - 502 pages
...angle B equal to the angle E, the angle O equal to the angle F, and the side BC equal to the side EP, the other three corresponding parts are also equal;...AC; then will the angle B be equal to the angle C. Conceive the angle BAC to be bisected, or divided into two equal parts, by the straight line AD, making...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1866 - 328 pages
...two triangles will be equal. In the two triangles ABC, DEF, let the angle B be equal to the angle B, the angle C to the angle F, and the side BC to the...AC ; then will the angle B be equal to the angle C. Conceive the angle BAC to be bisected, or divided into two equal parts, by the straight line AD, making...
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