| 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... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...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...AD the perpendicular from 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... | |
| 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... | |
| Euclid - 1835 - 540 pages
...PROP. B. THEOR. See N. 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 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 Playfair - Euclid's Elements - 1836 - 488 pages
...Wherefore, if an angle, &c. QED PROP. C. THEOR. Book VI. from any angle of a triangle a straight line be **drawn perpendicular to the base ; the rectangle contained...the perpendicular, and the diameter of the circle** descri: bed about the triangle. \Let ABC be a triangle, and AD the perpendicular from the angle A to... | |
| Mathematics - 1836 - 366 pages
...inside or outside. 21. 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 is equal to the rectangle contained by** the segments of the base, together with the square of the straight line bisecting the angle. 22. The... | |
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