| Robert Simson - Trigonometry - 1806 - 548 pages
...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 contained by** the segments of the base, together with the square of the straight line bisecting the angle. Let ABC... | |
| John Playfair - Mathematics - 1806 - 320 pages
...-&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 contained by** the segments of the base, together with the square of the straight line bisecting the angle. Let ABC... | |
| Euclid - Geometry - 1810 - 554 pages
...PROB. B. THEOR. s«eN«e. 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** reelangle contained by the segments of the base, together with the square of the straight line bisecting... | |
| John Mason Good - 1813 - 714 pages
...the square of the straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangles **straight line be drawn perpendicular to the base; the rectangle contained by the sides of** Ihe triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle... | |
| Euclides - 1816 - 592 pages
...PRO*. Bl THEOR. Se«N. Ip an angle of a triangle be bisected by a straight line whieh 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 straight line, bisecting the angle. Let ABC... | |
| John Playfair - 1819 - 354 pages
...Q, ED PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likentist 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 straight line bisecting the angle* Let... | |
| Daniel Cresswell - Geometry - 1819 - 446 pages
...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 of' the base, together with the square of the straight line bisecting the angle. Let ABCJ>ea... | |
| John Playfair - Circle-squaring - 1826 - 326 pages
...ED.DA= •vBD.DC, therefore BA.AC = BD.DC + DA3. Wherefore, if an angle, We. Jg. ED • PROP. C. THEOR. **If from any angle of a triangle a straight line be drawn** perpendieular to the base ; the reetangle eontained by the sides of the triangle is equal to the reetangle... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...the rectangle BD, DC, together with the square of AD. Wherefore, if an angle, &c. QED PROP. C. THEOR. **If 'from any angle of a triangle a straight line be drawn** See N. perpendicular to the base ; the rectangle contained by the sides of the triangle is equal to... | |
| John Playfair - Euclid's Elements - 1832 - 356 pages
...+DA». But ED.DA= BD.DC, therefore BA.AC=BD.DC+ DA", Wherefore, if an angle, &c. QED PROP. C. THEOR. **If from any angle of a triangle a straight line be...the triangle is equal to the rectangle contained by** the perpen dicular, and the diameter of the circle described about the tri angle. Let ABC be a triangle,... | |
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