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" In an isosceles triangle the angles opposite the equal sides are equal. "
Elements of Plane and Solid Geometry - Page 46
by George Albert Wentworth - 1877 - 398 pages
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Elements of Geometry and Trigonometry: With Applications in Mensuration

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...
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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 Plane and Spherical Trigonometry: With Practical Applications

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...
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Elements of Geometry and Trigonometry: With Practical Applications

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...
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Elements of Geometry: With Practical Applications to Mensuration

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...
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Elements of Geometry: With Practical Applications to Mensuration

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...
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The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

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...
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Catalogue of the Officers and Students

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...
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A Treatise on Special Or Elementary Geometry, Volumes 1-2

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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