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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 - Side 145
av Euclid - 1838 - 416 sider
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 sider
...triangle is equal to the redangle contained by the perpendicular and the diameter of the circle defer ibed about the triangle. Let ABC be a triangle, and AD the perpendicular from the angle A to the bafe 13C ; the rectangle BA, AC is equal to the rectangle contained by AD and the diameter of the circle...
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Elements of Geometry: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 sider
...equal to the reftangle contained by the perpendicular and the diameter of the circle defcribed ^boiit the triangle, Let ABC be a triangle, and AD the perpendicular from the angle A to the bafe BC ; the reftangle BA, AC is equal to the. reftaogle. contained by. AD and the diameter of the...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 sider
...triangle, a flraight line be drawn perpendicular to the bafe ; the rectangle contained by the fides of the triangle, is equal to the rectangle contained...by the perpendicular and the diameter of the circle defcribed about the triangle. Let ABC be a triangle, and AD the perpendicular from the angle A to the...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...triangle a ftraight line be JL drawn perpendicular to the bafe; the rectangle contained by the fides of the triangle is equal to the rectangle contained...by the perpendicular and the diameter of the circle deicribed about the triangle. Let ABC be a triangle, and AD the perpendicular from the angle A to the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 sider
...-&c. QED PROP. B. THEOR. 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 of the straight line bisecting the angle. Let ABC...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...the straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangles straight line be drawn perpendicular to the base; the rectangle contained by the sides of Ihe triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
...PRO*. Bl THEOR. Se«N. Ip an angle of a triangle be bisected by a straight line whieh 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 of the straight line, bisecting the angle. Let ABC...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 sider
...Wherefore, if an anele,&c. Q, E. U PROP. C. THEOR. If from any angle of a triangle a straight line be 'drawn perpendicular to the base ; the rectangle...perpendicular from the angle A to the base BC ; the rectangle BA.AC is equal to the rectangle contained by AD and tke diameter of the circle described about the...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819
...straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangle a straight line be drawn perpendicular to the base; the rectangle...diameter of the circle described about the triangle. Prop. D. Theor. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle,...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 410 sider
...BK. PROP. LV. 64. THEOREM. 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 straight line bisecting the angle. Let ABCJ>ea...
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