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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: The Errors by which Theon, Or Others, Have Long ... - Page 169
by Robert Simson - 1827 - 513 pages

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...PROPOSITION B. THEOREM. If an angle of a triangle be bisected by a straight line~vihich 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 on the straight line which bisects the angle. Let...

## The Madras University Calendar, Volume 1

University of Madras - 1876 - 580 pages
...radius. VI. 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 segments of the base, together with the square on the straight line which bisects the angle. FRIDAY,...

## Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
.... . . , . . . 240 Б. 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 on the straight line bisecting the angle. . . ....

## Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 pages
...of the co-efficients of the even terms. 11. If from any angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained...by the perpendicular and the diameter of the circle circumscribing the triangle. Having given n points on the circumference of a circle, show that 3.4.5...

## Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...external segments. PROPOSITION XXX. THEOREM. . If an angle of a triangle be bisected by a line lehich cuts the base, the rectangle contained by the sides of the triangle is equivalent to the rectangle contained by the segments of the base, together with the square of the...

## The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...angle of a triangle a' straight line be drawn perpendicular to the base, the rectangle contained by tie sides of the triangle is equal to the rectangle contained...diameter of the circle described about the triangle. In the above figure, let ABC be a triangle, and let BE be the perpendicular from the angle B to the...

## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878 - 398 pages
...PROPOSITION B. THEOREM. 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 eqvjil to the rectangle, contained by the segments of the base, together with the square on the line...

## The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...Proposition 28. Tlieorem.—If an 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 of the line bisecting the angle. Let ABC be a triangle,...