Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If 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 the rectangle contained by the... A Supplement to the Elements of Euclid - Page 367by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
| Euclid - Geometry - 1845 - 218 pages
...PROPOSITION 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, James Thomson - Geometry - 1845 - 382 pages
...&c. PROP. B. THEOB. — 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 tide straight line bisecting the angle. Let ABC... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...EHF. 149 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... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...Verniers. PROP. LXXVIII. THEOR. If an angle of a triangle be bisected by a straight line which 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 bisecting line. Let ABC be a ^\, and the... | |
| Dennis M'Curdy - Geometry - 1846 - 168 pages
...(d)p. 16, 6; (c)p. 3, 2; (/) p. 35, 3. C Th. If from any angle of a triangle a perpendicular be drawn to the base; the rectangle contained by the sides of the triangle equals that contained by the perpendicular and the diameter of the circle described about the triangle.... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...Verniers. PROP. LXXVIII. THEOR. If an angle of a triangle be bisected by a straight line which cuts the base; the rect-angle contained by the sides of the triangle is eyual to the rectangle contained by the seyments of the base, together with, flu Let ABC be a bisect... | |
| Euclid, Robert Potts - Euclid's Elements - 1847 - 118 pages
...inscribed circle, we may ghew that the rectangle contained by the sum of the perpendiculars and the sum of the sides of the triangle, is equal to the rectangle contained by the sum of the sides, and the sum of the radii of the inscribed and circumscribed circles. 20. Let... | |
| Euclides - 1848 - 52 pages
...sectors. PROP. 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 contained by the segments of the base, together with the square of the straight line, which bisects the angle. PROP.... | |
| Euclides - Geometry - 1853 - 176 pages
...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 contained by the segments of the base, together with the square of the straight line bisecting the angle. LET abc... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...PROPOSITION 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 loathe rectangle contained by the segments of the base, together with the square of the straight line... | |
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