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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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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 464 pages
...to the hypotenuse and an acute angle of the other. 149. COR. 2. Two right triangles are equal if a side and an acute angle of the one are equal respectively to a side and homologous acute angle of the other. PROPOSITION XXVI. THEOREM. 150. Two triangles are equal...
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Pacific Educational Journal, Volume 9

Education - 1893 - 568 pages
...angle of one are equal, respectively, to two sides and the included angle of the other. 13. Theorem: i. In an isosceles triangle, the angles opposite the equal sides are equal. 2. If two angles of a triangle are equal, the opposite sides are equal, and the triangle is isosceles....
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Exercises in Stewart's Plane and Solid Geometry: With Solutions for Teachers

Seth Thayer Stewart - Geometry - 1893 - 256 pages
...SPHERICAL TRIANGLES. 51. Many propositions are equally true~with spherical and plane triangles ; thus, I. In an isosceles triangle, the angles opposite the equal sides are equal. Draw arc of great О from vertex to middle of base. The two Дs have respectively = sides (hyp. and...
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...the one are respectively equal to a side and the two adjacent angles of the other. PROPOSITION VIII. In an isosceles triangle the angles opposite the equal sides are equal. Corollary. The straight line bisecting the vertical angle of an isosceles triangle bisects the base,...
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The Elements of Geometry

Webster Wells - Geometry - 1894 - 400 pages
...conclusions is contrary to the hypothesis that BC is greater than EF. PROPOSITION XXX. THEOREM. 91. In an isosceles triangle, the angles opposite the equal sides are equal. Let AC and BC be the equal sides of the isosceles triangle ABC. To prove ZA = Z B. Draw CD perpendicular...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...HARVARD COLLEGE, June, 1891. In solving problems use fur w the approximate value 3\. 1. Prove that in an isosceles triangle the angles opposite the equal sides are equal to each other. The area of a certain isosceles triangle is 50 square feet and each of its equal sides...
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Concrete Geometry for Beginners

Adelia Roberts Hornbrook - Geometry - 1895 - 224 pages
...that the equal sides shall coincide, and show the truth of the following theorem : PRINCIPLE 17. — In an isosceles triangle the angles opposite the equal sides are equal. 13. In the isosceles triangle ABC the angle BAC is 70. How many degrees are there in each exterior...
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Syllabus of Geometry

George Albert Wentworth - Geometry - 1896 - 68 pages
...to the hypotenuse and an acute angle of the other. 149. Cor. 2. Two right triangles are equal if a side and an acute angle of the one are equal respectively to a side and homologous acute angle of the other. 150. Two triangles are equal if two sides and the included...
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The Elements of Mechanical Engineering, Volume 1

Electrical engineering - 1897 - 672 pages
...to the base extended. Thus, in Figs. 33 and C 34, BD is the altitude FIG. 33. of the triangles ABC. In an isosceles triangle, the angles opposite the equal sides are equal. Thus, in Fig. 35, AB = BC; hence, angle C= angle A. In any isosceles triangle, if a perpendicular be...
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Elements of Geometry

George Washington Hull - Geometry - 1897 - 408 pages
...contrary to the hypothesis that AB is greater than DE. Hence Z C> Z F. QKD PROPOSITION XXIV. THEOREM. 63. In an isosceles triangle, the angles opposite the equal sides are equal. D Given—The triangle ABC, isosceles, with AC= EC. To Prove— Z A — Z B. Dem.—Draw CD perpendicular...
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