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" In an isosceles triangle, the angles opposite the equal sides are equal. "
The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ... - Page 43
by Edward Brooks - 1868 - 275 pages
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An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - Navigation - 1810 - 478 pages
...(F) The angles at the base of an isosceles spherical triangle are equal to each other. DEMONSTRATION. Let ABC be an isosceles triangle having the side AC equal to the side EC. Make CE equal to CD, and draw EB and DA ; now AC being equal to Be by hypothesis, and EC equal...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volume 1

Charles Hutton - Mathematics - 1816 - 610 pages
...Triangle have _Two Sides equal, their Opposite Angles will also be equal. If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A For, conceive the angle c to be bisected, or divided into two equal parts...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 394 pages
...equal. In the same manner it may be shewn, that B is equal to E, and C to F. PROPOSITION XII. THEOREM. In an isosceles triangle, the angles opposite the equal sides are equal. LET the side AB be equal to AC, the angle C will be equal to B. Join A the vertex, and D the middle point...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...a Triangle have Two Sides equal, their Opposite Angles will also be equal. If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For, conceive the angle c to be bisected, or divided into two equal parts...
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An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - Navigation - 1826 - 504 pages
...(F) The angles at the base of an isosceles spherical triangle are equal to each other. DEMONSTRATION. Let ABC be an isosceles triangle having the side AC equal to the side вс. Make CE equal to CD, and draw EB and DA ; now AC being equal to вс by hypothesis, and EC equal...
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The Mechanic's Calculator, Or Workman's Memorial Book ...

William Grier - Mechanical engineering - 1832 - 366 pages
...the two triangles be identical, or equal in all respects. — (Fig. 1.) 3. If the triangle ABC have the side AC equal to the side BC; then will the angle B be equal to the angle A. — (Fig. ft) The line which bisects the vertical angle of an isosceles...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...pole of BC, by def. 1. QED PROP. IV. FIG. 3. In isosceles spherical triangles, the angles at the base are equal. Let ABC be an isosceles triangle, having the side AC equal to the side CB; the spherical angles BAC, ABC at the base AB, are equal. Let D be the centre of the sphere, and...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 544 pages
...pole of BC, by def. 1. QED PROP. IV. FIG. 3. In isosceles spherical triangles, the angles at the base are equal. Let ABC be an isosceles triangle, having the side AC equal to the side CB; the spherical angles BAC, ABC at the base AB, are equal. Let D be the centre of the sphere, and...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 pages
...equal to one another : namely, those to which the equal sides are opposite. If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For, conceive the angle C to be bisected, or divided into two equal parts...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 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 the side BA be equal to the side AC ; then will the angle C be equal to the angle B. For, join the...
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