 | Euclides - 1814 - 560 σελίδες
..... A-'' ••" •.' Se'N. IF an angle of a triangle be bisected by a straight line which likewise cuts the base; the rectangle contained by the sides...square of the straight line, bisecting the angle. * 5.4. Describe the circle3 ACB about the triangle, and proLet ABC be a triangle, and let the angle... | |
 | Euclides - 1816 - 588 σελίδες
...&c. QED PROP. C. THEOR. . IF from any angle of a trianglte 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,... | |
 | Daniel Cresswell - 1819 - 486 σελίδες
...AD*. PROP. LVI. 65. THEOREM. 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, 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 Mason Good - 1819 - 800 σελίδες
...the angle. 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 is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Prop. D. Theor. The... | |
 | Daniel Cresswell - 1825 - 616 σελίδες
...triangle be bisected by a straight line, which also cuts the base, the rectangle, contained by the •ides of the triangle, is equal to the rectangle contained...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, the... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...circles, &c. QED 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 it equal to the rectangle contained by the segments of the base, together tcilh the square of the straight... | |
 | Robert Simson - 1827 - 546 σελίδες
...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 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,... | |
 | John Playfair - 1829 - 210 σελίδες
...contained by the segments of the base are equal to the rectangle contained by the other two sides. Let ABC be a triangle, and let the angle BAC be bisected by the straight line \ I); the square of AD together with the rectangle BD . DC are equal to tha " . rectangle BA . AC.... | |
 | Euclides - 1834 - 518 σελίδες
...PROPOSITION B. See N. THEOn. — If an angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides...rectangle contained by the segments of the base, together irith the square of the straight line tvhicli bisects the angle. Let ABC be a triangle, and let the... | |
 | Euclid - 1835 - 540 σελίδες
...QED PROP. C. THEOR. &* N. 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 is equal to the rectangle contained by the perpendicular, and the diameter of the circle described about the triangle. Let ABC be a triangle,... | |
| |
If from the vertical 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... 
