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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 ... - Page 165
by Euclides - 1834
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...PROPOSITION B. THEOREM. l/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 (he rectangle contained by the segments of the base, together with the square on the straight line...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 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 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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...PROPOSITION B. THEOREM. // an angle of a triangle be bisected by a straight line, which likewise cuts the base ; the rectangle, contained by the sides of...triangle, is equal to the rectangle, contained by the segments of the base, together with the square on the line bisecting the angle. Let L BAC of the...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 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 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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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...be equal. 11. 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. ALGEBRA....
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...proportionally. 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 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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 382 pages
...with sq. on AD. III. 35. QED PROPOSITION C. THEOREM. If from any angle of a triangk a straight line be drawn perpendicular to the base, the rectangle, contained...perpendicular and the diameter of the circle described about Hie triangle. Let ABC be a A , and AD the -i- from A to BC. Describe the ABC about the A ABC, III....
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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. . . ....
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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...
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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,...
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