| John Playfair - Circle-squaring - 1819 - 350 pages
...Wherefore, if an anele,&c. Q, E. U PROP. C. THEOR. If from any angle of a triangle a straight line be 'drawn **perpendicular to the base ; the rectangle contained...perpendicular from the angle A to the base BC ; the rectangle** BA.AC is equal to the rectangle contained by AD and tke diameter of the circle described about the... | |
| Daniel Cresswell - Geometry - 1819 - 486 pages
...X AC ~~ " ~^ AD*. PROP. LVI. 65. THEOREM. If from any angle of a triangle a straight line be drawn **perpendicular to the base, the rectangle contained...circle described about the triangle. Let ABC be a** A , and AD the j_ from the L BAC to the base BC; then is BA X AC equal to the rectangle contained by... | |
| John Mason Good - 1819 - 800 pages
...line bisecting the angle. Prop. C. Theor. If from any angle of a triangle a straight line be drawn **perpendicular to the base; the rectangle contained...diameter of the circle described about the triangle.** Prop. D. Theor. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle,... | |
| 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 - 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 - Euclid's Elements - 1825 - 616 pages
...straight line bisecting the angle. \ I A" I. TH. If from any angle of a triangle a straight line be drawn **perpendicular to the base, the rectangle contained...diameter of the circle described about the triangle.** LVII. TH. The rectangle contained by the diagonals of a quadrilateral rectilineal figure, inscribed... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...Wherefore, if an angle, &c. QE D PROP C. THEOREM. If from an ansie of a triangle a straight line be drawn **perpendicular to the base ; the rectangle contained...rectangle contained by the perpendicular and the diameter** ofutt circle described about the triangH Let ABC be a triangle, and AD the perpendicular from the angle... | |
| John Playfair - Geometry - 1829 - 210 pages
...be drawn from any angle perpendicular to the opposite side, the rectangle contained by the other two **sides of the triangle is equal to the rectangle contained...the perpendicular and the diameter of the circle.** Let ABC be a triangle, and AD the perp. drawn from the angle A to the opposite side BC ; the rectangle... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...Wherefore, if an angle, &c. QED PROP. C. THEOR. If from any angle of a triangle a straight line be drawn **perpendicular to the base; the rectangle contained...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,... | |
| John Playfair - Euclid's Elements - 1833 - 346 pages
...Wherefore, if an angle, &c. QED PROP. C. THEOR. If from any angle of a triangle a straight line be drawn **perpendicular to the base ; the rectangle contained by the sides of the triangle** if equal to the rectangle contained by the perpendicular, and the diameter of the circle described... | |
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