 | Thomas Steadman Aldis - 1872 - 84 páginas
...drawn parallel to AC to meet the opposite side in S and T. Prove that ST is parallel to BD. THEOREM X. If an angle of a triangle be bisected by a straight line that cuts the base of the triangle, then shall the segments of the base be proportional to the sides... | |
 | Euclides, James Hamblin Smith - 1872 - 376 páginas
...same ratio as the arcs which subtend them ; and so also have the sectors. PROPOSITION B. THEOREM. // an angle of a triangle be bisected by a straight line, which likewise cuts the base ; the rectangle, contained by the sides of the triangle, is equal to the rectangle,... | |
 | Braithwaite Arnett - 1874 - 130 páginas
...and circumscribing circles. 5. Inscribe an equilateral and equiangular hexagon in a given circle. 6. If an angle of a triangle be bisected by a straight line which also cuts the base the segments of the base shall have the same ratio which the other sides of the triangle have to one another.... | |
 | Francis Cuthbertson - 1874 - 400 páginas
...CG : GK. (v. 6) Similarly FJ : JP as GK : KQ. Hence BP, CQ are divided proportionally. THEOREM (/). If an angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle... | |
 | Euclides - 1874 - 342 páginas
...BGC to the sector EHF (V. Def. 5). Wherefore, in equal circles, &e. QED PROPOSITION B. — Theorem. If an angle of a triangle be bisected by a straight line which likewise cuts the base ; the rectangle contained by the sides of the triangle is equal to the rectangle... | |
 | Robert Potts - 1876 - 446 páginas
...having each of the angles at the base equal to seven times the third angle. 5. (a) If the vertical angle of a triangle be bisected by a straight line which also cuts the base, the segments of the base have the same ratio which the other sides of the triangle have to one another... | |
 | Euclides, James Hamblin Smith - 1876 - 376 páginas
...the same ratio as the arcs which subtend them ; and so also have the sectors. PROPOSITION B. THEOREM. If an angle, of a triangle be bisected by a straight line, which likeivise cuts the base ; the rectangle, contained by the sides of the triangle, is equal to the rectangle,... | |
 | Richard Wormell - 1876 - 268 páginas
...one another, the remaining sides shall be in a straight line. . . . . . . . . . . . . , . . . 240 Б. If an angle of a triangle be bisected by a straight line, which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle... | |
 | Scotland free church, gen. assembly - 1876 - 1072 páginas
...binomial theorem. 4. Find the sum of the series l H --- h -5-, etc., to infinity. x z1 If the vertical angle of a triangle be bisected by a straight line, which also счй the base, the segments of the base shall have the same ratio which the other eiclcs of the triangle... | |
 | Euclid - 1876 - 240 páginas
.... VL 3. ... Vi. A. (p. 76). HYPOTHESES. [f several parallels be drawn to the base of a triangle. [f an angle of a triangle be bisected by a straight line, which likewise cuts the base. Idem If a straight line bisects both the angle and base of a triangle. If from... | |
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IF an angle of a triangle be bisected by a straight line, which likewise cuts the base ; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square of the... 
