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
| Ontario. Legislative Assembly - 1914
...two other sides. If the vertical 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 on the straight line which bisects the angle. If... | |
| University of Bombay - 1906
...triangle to the opposite side, the rectangle contained by the other sides of the triangle is eqnal **to the rectangle contained by the perpendicular and...diameter of the circle described about the triangle.** The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum... | |
| University of St. Andrews - 1891
...of the sides about the equal angles. 7. If, from the vertical angle of a triangle, a straight line **be drawn perpendicular to the base, the rectangle...diameter of the circle described about the triangle.** If a, b, and c be the sides of the triangle ABC, A its area, and R the radius of the circumscribed... | |
| University of St. Andrews - 1900
...that the locus of R is a circle. 3. If from the vertical angle of a triangle a perpendicular he drawn **to the base, the rectangle contained by the sides...by the perpendicular and the diameter of the circle** circumscribed about the triangle. If a circle be circumscribed about a triangle, and two straight lines... | |
| University of Bombay - 1904
...perpendicular be drawn from a vertex of a triangle to the opposite •ide, the rectangle contained by the other **sides of the triangle is equal to the rectangle contained...and the diameter of the circle described about the** triangleThe rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal... | |
| Euclid
...straight line be drawn perpendicular to the opposite side, the rectangle contained by the other two **sides of the triangle is equal to the rectangle contained...by the perpendicular and the diameter of the circle** circumscribed about the triangle. Let ABC be a triangle and AD the perpendicular on AB. diameter AE... | |
| 1870
...proposition of Euclid. 5. 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 line bisecting the angle. If AD be the line... | |
| Euclid - 1908 - 167 sider
...B.) ENUNCIATION. If the vertical 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 on the straight line which bisects the angle. Let... | |
| Great Britain. Parliament. House of Commons - 1871
...an angle of a triangle be bisected by a straight line, which likewise cuts the base, the rectarfgle **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 line bisecting the angle. If AT) be the line... | |
| University of St. Andrews - 1897
...its vertex. 6. From the vertex of a triangle a line is drawn perpendicular to the base ; show that **the rectangle contained by the sides of the triangle is equal to** twice the rectangle contained by the perpendicular and the radius of the circum-circle. ABCD is a cyclic... | |
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