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" 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... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 149
by John Playfair - 1842 - 317 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...bisected by a straight line which likewise outs the bast ; 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 tlw angle. Let ABC be a triangle, and let the angle BAC be bisected...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 350 pages
...bisected by a straight line, which likewise cats the base; the rectangle contained by the sides of the triangle is equal to the rectangle contained by...the angle. Let ABC be a triangle, and let the angle BAG be bisected by the straight line AD ; the rectangle BA.AC is equal to the rectangle BD.DC, together...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 ABC be a triangle, and let the angle BAC be bisected...
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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
...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 which bisects the angle. Let ABC be a triangle, and let the angle BAC be bisected...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...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 ABC be a triangle, and let the angle BA C be bisected...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 pages
...by a line which cuts t/ie bast., 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 bisecting line. Let ABC be a triangle, and let the angle BAC be bisected by the straight line AD; the...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...joining the middle points of the diagonals. 7. If the square on one perpendicular from the vertex of a triangle is equal to the rectangle contained by the segments of the base, the vertical angle is a right angle. 8. Produce a given straight line so that the rectangle contained...
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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
...joining the middle points of the diagonals. 7. If the square on one perpendicular from the vertex of a triangle is equal to the rectangle contained by the segments of the base, the vertical angle is a right angle. 8. Produce a given straight line so that the rectangle contained...
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The Madras University Calendar

University of Madras - 1873 - 436 pages
...which meets the base, the rectangle under the two sides of the triangle is equal to the rectangle under the segments of the base together with the square of the straight line which bisects the vertical angle. XII. If O be the centre of a circle, PQR a tangent to it at F, and...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...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. 1. If a, 5, c, and d be four numbers such that...
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