 | John Playfair - Mathematics - 1806 - 320 pages
...the arch EF, so is the seetolh BGC to the sector EHFb. Wherefore, in equal circles, -&c. QED PROP. B. THEOR. 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 Simson - Trigonometry - 1806 - 546 pages
...so is the sector BGC to the sector EHF. Wherefore, in equal circles, &c. QED PROP. B. THEOR. See N. 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... | |
 | John Mason Good - 1813 - 714 pages
...which the circumferences on which they stand have to one another : so also have the sectors. Prop. B. Theor. 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 - 1816 - 588 pages
...straight line, &c. QED PROP. HI. THEOR. IF the angle of a triangle be divided into two equal angles, 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 : And if the segments... | |
 | Daniel Cresswell - Geometry - 1819 - 486 pages
...and FL, and it is manifest, that the segment CL is equal to the segment BK. PROP. LV. 64. THEOREM. If an angle of a triangle be bisected by a straight line, which also cuts the base, the rectangle, contained by the sides of the triangle, is equal to the rectangle contained by the segments... | |
 | John Playfair - 1819 - 354 pages
...angles by the straight line AD. Therefore, if the angle, &c. Q,. ED PROP. A. THEOR. If the exterior angle of a triangle be bisected by a straight line which also cuts the base produced ; the segments between the bisecting line and the extremities of the base have the same ratio... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...the arch EF, so is the sector BGC to the sector EHF. Wherefore, in equal circles, &c. Q, ED PROP. B. THEOR. 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 ist equal to the rectangle... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...circumference EF, so is the sector BGC to the sector EHF. Wherefore, in equal circles, &c. Q, ED PROP. B. THEOR. 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... | |
 | John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...triangle and the three angles to construct it. PROPOSITIONS IN PLANE GEOMETRY. 1816. 1 . IF the exterior angle of a triangle be bisected by a straight line which also cuts the base produced, the segments between the bisecting line and the extremities of the base, have the same ratio... | |
 | Daniel Cresswell - Euclid's Elements - 1825 - 616 pages
...and FL, and it is manifest, that the segment CL is equal to the segment BK. PROP. LV. 64. THEOREM. If an angle of a triangle be bisected by a straight line, which also cutis the base, the rectangle, contained by the sidea of the triangle. is equal to the rectangle contained... | |
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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... 
