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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 ... - Side 169
av Robert Simson - 1827 - 513 sider
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...THEOREM. 7y an angle of a triangle be bisected by a straight tine which lihewise cuts the base ; then the rectangle contained by the sides of the triangle is equal to ihc rectangle contained by the segments of the base, together with the square of the straight line...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...B. THEOREM. Jf 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. Let...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...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 - 410 sider
...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 - 1872 - 349 sider
...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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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...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 - 1874 - 349 sider
...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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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...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 - 1876 - 349 sider
...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
.... . . , . . . 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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