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" Consequently, a line drawn from the vertex of an isosceles triangle to the middle of the base, bisects the vertical angle, and is perpendicular to the base. "
An Introduction to the Theory and Practice of Plane and Spherical ... - Page 136
by Thomas Keith - 1810 - 420 pages
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Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - 1876 - 376 pages
...equal in all their parts, (P. 11). Hence, the angle A is equal to C, which was to be proved. Cor. 2. A line drawn from the vertex of an isosceles triangle to the middle of the base bisects the angle at the vertex, and is perpendicular to the base. For, from what has just been proved,...
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Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - 1876 - 412 pages
...all their parts, ( P. 11 ). Hence, the angle A is equal to C, which was to be proved. BOOX 1. Cor. 2. A line drawn from the vertex of an isosceles triangle to the middle of the bose bisects the angle at the vertex, and is perpendicular to the base. For, from what has just been...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 pages
...than two right angles. (21)- Draw a triangle which shall be equal to two other given triangles. (22) A line drawn from the vertex of an isosceles triangle to the middle point of the base is at right angles to it. (23) A line making equal angles with the sides of an isosceles...
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A Geometry for Beginners

George Anthony Hill - 1880 - 348 pages
...conclusionsare: CDbisects AB,a.nd CD bisects AC B. Prove by showing that AA CD I!. The line joining the vertex of an isosceles triangle to the middle of the base is perpendicular to the base, and bisects the angle at the vertex. Hints. — In -this case what are the hypotheses? the conclusions?...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1880 - 456 pages
...the last two angles is a right angle. Hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base is perpendicular to the base, and also bisects the vertical angle. PROPOSITION XVI. THEOREM. In a spherical triangle, the greater...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1885 - 538 pages
...is equal to DAC, and BDA to CDA : hence, the last two are right angles. Consequently, a straight Hne drawn from the vertex of an isosceles triangle to the middle of the base, bisects the angle at the vertex, and is perpendicular to the base. PROPOSITION XII. THEOREM. // two...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - 1887 - 336 pages
...to the included angle EGF. Hence the triangles are equal, by Proposition VI. EXERCISE. Theorem.— A line drawn from the vertex of an isosceles triangle to the middle point of the base is perpendicular to the base, and bisects the vertical angle. PROPOSITION X.— THEOREM....
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - 1890 - 420 pages
...equiangular. (706) 713. COR. 2. The arc of a great circle drawn from the vertex of an isosceles spherical triangle to the middle of the base is perpendicular to the base, and bisects the vertical angle. POLAR TRIANGLES. V14. One spherical triangle is called the polar triangle...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 pages
...usually stated. For example, almost all editions of Euclid contain this Eider : — " The straight line drawn from the vertex of an isosceles triangle to the middle point of the base is perpendicular to the base." Boys who have learnt Euclid for years will refuse...
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The Elements of Solid Geometry: With Numerous Exercises

Arthur Latham Baker - 1893 - 154 pages
...equiangular, and the Sph. /_ at the base are equal, Q. E E. 273. COR. 9. The arc of a great circle drawn from the vertex of an isosceles triangle to the middle of the base, bisects the rertical angle, is perpendicular to the base, and divides the triangle into two symmetrical...
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