 | John Playfair - Mathematics - 1806 - 320 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... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...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 Mason Good - 1813 - 714 pages
...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. Prop.... | |
 | Euclides - 1816 - 588 pages
...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... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...DA, DB be drawn ; and to C any point in the circumference between them, let a tangent ECFbe drawn. The sum of the sides of the triangle is equal to the two tangents DA and DB. Since AE = EC, and FC—FB, .. DE, EF, FD together are equal to AD and DB together.... | |
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...DA, DB be drawn ; and to C any point in the circumference between them, let a tangent ECFbe drawn. The sum of the sides of the triangle is equal to the two tangents DA and DB. Since AE = EC, and FC=FB, .-. DE, EF, FD together are equal to AD and DB together.... | |
 | Daniel Cresswell - Geometry - 1819 - 446 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 A , and... | |
 | John Playfair - Circle-squaring - 1819 - 350 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,... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...ansie 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 ofutt circle described about the triangH Let ABC be a triangle,... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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 the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,... | |
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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... 
