 | Euclides - 1846 - 292 pages
...angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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, Robert Potts - Euclid's Elements - 1847 - 118 pages
...equiangular, and AR : AF:: FB : BN ; also 4.AF.FB = 4.AR.BN = AL.BN. 131. By Euc. iv. 4, twice the area of the triangle is equal to the rectangle contained by the sum of the sides and the radius of the mscribed circle. By Theorem 137, p. 362, the area is expressed in terms of the sides... | |
 | Euclides - 1848 - 52 pages
...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.... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the. triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,... | |
 | Euclides - Geometry - 1853 - 176 pages
...angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. LET abc be a triangle,... | |
 | Euclides - 1855 - 270 pages
...angle of a triangle a straight line be drawn perpendicular to the base ; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let AB ะก be a triangle,... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...a triangle he 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. Section... | |
 | 1855 - 264 pages
...a triangle he bisected by a straight line which likewise cuts the hase, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the ha;e, together with the square of the straight line which bisects the angle. SECT.... | |
| |
If the vertical 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 on the straight... 
