Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical 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... The Elements of Euclid - Side 145av Euclid - 1838 - 416 siderUten tilgangsbegrensning - Om denne boken
| John Playfair - 1819 - 317 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 - 1825 - 582 sider
...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 rectangle...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 - 372 sider
...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 ; the rectangle...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 - 513 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 - 186 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 - 333 sider
...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 rectangle...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 - 333 sider
...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... | |
| Euclid - 1835 - 513 sider
...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 - 1836 - 311 sider
...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...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... | |
| 1836 - 335 sider
...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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