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" If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the... "
A Supplement to the Elements of Euclid - Pagina 366
door Daniel Cresswell - 1819 - 410 pagina’s
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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 pagina’s
...square on AQ. THEOREM (g). If from the vertex of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle about the triangle. Let ABC be the given A, ABRC the...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pagina’s
...given ratio. ' 11. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Prove that the ratio...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pagina’s
...PROPOSITION 0. — Theorem. If from any angle of a triangle, a straight line be drawn perpendicular to the base ; the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,...
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The Madras University Calendar, Volume 1

University of Madras - 1876 - 580 pagina’s
...and the 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...the segments of the base, together with the square on the straight line which bisects the angle. FRIDAY, 24TH DEC., 2 TO 5 PM ARITHMETIC. EP METCALFE,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 382 pagina’s
...triangle be bisected by a straight line, which likewise cuts the base ; the rectangle, contained by th# sides of the triangle, is equal to the rectangle,...the segments of the base, together with the square on the line bisecting the angle. Let L BAC of the A ABC be bisected by the st. line AD. Then rect....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 pagina’s
...PROPOSITION C. THEOREM. If from any angle of a triangle, a straight line be drawn perpendicular to the base ; the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pagina’s
...angle. . . . . . . 240 C. If from any angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. . . . . . . . . . ....
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 pagina’s
...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 sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle circumscribing the triangle. Having given n points...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1877 - 458 pagina’s
...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...
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An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - 1877 - 262 pagina’s
...quadrilateral inscribed in a circle intersect at right angles. 101. The rectangle contained by two sides of a triangle is equal to the rectangle contained by the segments of the third side made by a line bisecting the opposite angle, plus the square of the bisecting line. 102....
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