 | William Guy Peck - Conic sections - 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,... | |
 | William Guy Peck - Conic sections - 1876 - 412 pages
...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... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...triangle.) 10. To describe a square that shall be equal to a given rectilineal figure. 11. The square on any straight line drawn from the vertex of an isosceles. triangle to the base is less than the square on a side of a triangle by a rectangle contained by the segments of the... | |
 | 1876 - 400 pages
...— DB Frost. The best text-book on geometrical drawing. — D. Sutherland. 167. The square on any straight line drawn from the vertex of an isosceles triangle to the base is less than the square on a side of the triangle by the rectangle contained by the segments of... | |
 | 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... | |
 | George Anthony Hill - Geometry - 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?... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...and the side AD produced at E\ shew that the rectangle EF, FG is equal to the square on BF. 404. If a straight line drawn from the vertex of an isosceles triangle to the base, be produced to meet the circumference of a circle described about the triangle, the rectangle... | |
 | 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... | |
 | Charles Scott Venable - 1881 - 380 pages
...the angle BAD is equal to DAC, and BDA to ADC, hence, the latter two are right angles ; therefore, a straight line drawn from the vertex of an isosceles triangle to the middle of its base, is perpendicular to that base, and divides the angle at the vertex into two equal parts.... | |
 | Marianne Nops - 1882 - 278 pages
...on their difference, is equal to twice the squares on the two straight lines. 10. The square of any straight line drawn from the vertex of an isosceles triangle to the base is less than the square of a side of the triangle by the rectangle contained by the segments of... | |
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Consequently, a stra1ght 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. 
