| Euclides - 1861 - 464 páginas
...PROPOSITIONS. PROP. B. — ТBEOK. If an angle of a triangle be bisected by a st. line which likewise cuts the base; the rectangle contained by the sides of the triangle is equal to tie rectangle contained by the segments of the base, together with the square of the st. line which... | |
| War office - 1861 - 260 páginas
...are equal to each other. 3. In a given circle inscribe an equilateral and equiangular pentagon. 4. 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... | |
| Woolwich roy. military acad - 1864 - 588 páginas
...AD cutting the given circle in P, prove PD and PB each equal to the radius of the given circle. 11. If an angle of a triangle be bisected by a straight line that cuts the base, the rectangle containedby the sides of the triangle is equal to the rectangle contained... | |
| Robert Potts - 1865 - 528 páginas
...BGC to the sector EHF. (v. def. 5.) Wherefore, in equal circles, &o. cj. ED PROPOSITION B. THEOREM. If an angle of a triangle be bisected by a straight line which likewise outs the bast ; the rectangle contained by the sides of the triangle is equal to the rectangle... | |
| Euclides - 1865 - 402 páginas
...which the circumferences on which they stand have to one another: so also have the sectors. Prop. B. 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... | |
| Euclid, Isaac Todhunter - 1867 - 424 páginas
...PROPOSITION B. THEOREM. l/the vertical 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 (he rectangle contained by the segments of the base, together with the square on the straight line... | |
| Euclid - 1868 - 138 páginas
...KOuvфrjc IiTÍ rffv тоfiriv èiTi&vyvvfiivri eú0iïa Sí%a TÍfivfi rfjV TOV TOiydivov ywviav. If any 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 to one another which the adjacent sides of the triangle... | |
| Robert Potts - 1868 - 434 páginas
...sector BGCto the sector EHF. (v. def. 5.) Wherefore, in equal circles, &c. 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... | |
| Cambridge univ, exam. papers - 1870 - 272 páginas
...each, prove that the third side of the one is equal to the third side of the other. 4. If the vertical 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;... | |
| Henry William Watson - 1871 - 320 páginas
...points B and D are also harmonic conjugates with respect to the line AC. PROPOSITION 8. If the vertical angle of a triangle be bisected by a straight line which also cuts the base, the segments of the base shall have to one another the same ratio that the adjacent sides of the triangle... | |
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