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" 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: Viz. the First Six Books, Together with the Eleventh ... - Side 180
af Euclides - 1816 - 528 sider
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The Thirteen Books of Euclid's Elements

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...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Bind 15–16

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...
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The Contents of the Fifth and Sixth Books of Euclid (with a Note on ...

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...
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Parliamentary Papers, Bind 17

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...
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The Bombay University Calendar, Bind 1

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...
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Calendar

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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