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" 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... "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Seite 220
von Euclid, Isaac Todhunter - 1867 - 400 Seiten
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 Seiten
...triangle a ftraight line be drawn -I 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 dcfcribed 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: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 Seiten
...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 Seiten
...-&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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 Seiten
...PROP. B. THEOR. See N. 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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 Seiten
...PROB. B. THEOR. s«eN«e. 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 reelangle contained by the segments of the base, together with the square of the straight line bisecting...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813
...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 Seiten
...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 Seiten
...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 contained...described about the triangle. Let ABC be a triangle, and AD the perpendicular from the angle A to the base BC ; the rectangle BA.AC is equal to the rectangle...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 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 contained...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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