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" For, if the arc AD be drawn from the vertex A to the middle point D of the base, the two triangles ABD, ACD will have all the sides of the one respectively equal to the corresponding sides of the other, namely, AD common, BD=DC, and AB= AC : hence by... "
Higher Geometry and Trigonometry: Being the Third Part of a Series on ... - Page 18
by Nathan Scholfield - 1845 - 232 pages
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 pages
...side AB is equal to the side AC ; then will the angle B be equal to the angle C. For, if the arc AD be drawn from the vertex A to the middle point, D,...corresponding sides of the other, namely, AD common, BD equal to DC, and AB equal to AC ; hence their angles must be equal ; consequently, the angles B...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 516 pages
...side AB is equal to the side AC ; then will the angle B be equal to the angle C. For, if the arc AD be drawn from the vertex A to the middle point, D,...corresponding sides of the other, namely, AD common, BD equal to DC, and AB equal to AC ; hence their angles must be equal ; consequently, the angles B...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1872 - 464 pages
...AB equal to AC: then will the angle C be equal to the angle B. For, draw the arc of a great circle from the vertex A, to the middle point D, of the base BC: theu in the two triangles ADB and ADC, we shall have the side AB equal to AC, by hypothesis, the...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - Geometry - 1874 - 500 pages
...AB equal to AC : then will the angle G be equal to the angle B. For, draw the are of a great circle from the vertex A, to the middle point D, of the base BC : then in the two triangles ADB and ADC, we shall have the side AB equal to AC, by hypothesis, the...
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Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - Geometry - 1876 - 384 pages
...the isosceles spherical triangle ABC, letAB = AC; then, B — C. For, the arc AD of a great circle drawn from the vertex A to the middle point D of the base BC, divides the triangle ABC into two triangles, ABD, ACT), which are mutually equilateral, and hence,...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...spherical triangle are equal, the triangle is isosceles. BOOK IX. For, draw the arc- of a great circle from the vertex A, to the middle point D, of the base BC : then in the two triangles ADB and ADC, we shall have the side AB equal to AC, by hypothesis, the...
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