 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 143av Euclid - 1838 - 416 siderUten tilgangsbegrensning - Om denne boken
 | University of St. Andrews - 1900 - 670 sider
...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 - 1911 - 1028 sider
...perpendicular be drawn from a vertex of a triangle to the opposite side, the rectangle contained by the other sides of the triangle is equal to the rectangle contained...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 Bombay - 1904 - 1174 sider
...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 - 452 sider
...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 - 964 sider
...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 - 196 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 - 902 sider
...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 Bombay - 1916 - 654 sider
...perpendicular be drawn from a vertex of a triangle to the opposite aide, the rectangle contained by the other sides of the triangle is- equal to the rectangle contained by the perpendicular acd the diameter of the circle described about tbe triangle. The rectangle contained by the diagonals... | |
 | University of St. Andrews - 1897 - 600 sider
...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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