| Daniel Cresswell - 1819 - 486 sider
...X DA : = BD X DC ; .-. BA X AC ~~ " ~^ AD*. PROP. LVI. 65. THEOREM. If from any angle of a triangle **a straight line be drawn perpendicular to the base,...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 sider
...the sijuare of the straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangle **a straight line be drawn perpendicular to the base;...diameter of the circle described about the triangle.** Prop. D. Theor. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle,... | |
| John Playfair - 1819 - 354 sider
...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 - 1819 - 446 sider
...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... | |
| Daniel Cresswell - 1825 - 616 sider
...the square of the 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,...diameter of the circle described about the triangle.** LVII. TH. The rectangle contained by the diagonals of a quadrilateral rectilineal figure, inscribed... | |
| Peter Nicholson - 1825 - 1046 sider
...the square of AD. 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...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... | |
| Robert Simson - 1827 - 546 sider
...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...the angle A to the base BC : the rectangle BA, AC** shall be equal to the rectangle contained by AD and the diameter of the circle described about the... | |
| John Playfair - 1829 - 210 sider
...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 - 1832 - 358 sider
...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 drawn perpendicular to the base;...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 - 1833 - 346 sider
...therefore BA.AC=BD.DC+ DA2. 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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