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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... "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Page 153
by John Playfair - 1819 - 317 pages
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The Elements of Euclid: The errors, by which Theon, or others, have long ago ...

Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...rectangle contained by the fegments of the bafe, together with the fquare of the ftraight line bifecting the angle. Let ABC be a triangle, and let the angle BAC be bifected by the ftraight line AD ; the rectangle BA, AC is equal to the rectangle BD, DC together with...
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The Elements of Euclid, viz: The errors, by which Theon, or others, have ...

Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...redlangle contained by the fegments of the bafe, together- with the fquare of the flraight line bifecYmg the angle. Let ABC be a triangle, and let the angle BAC be bifected by the ftraight line AD ; the rectangle BA, AC is equal to the rectangle BD, DC, together...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...rectangle contained by the fegments of the bafe, together with the fquare of the ftraight line bifccling the angle. Let ABC be a triangle, and let the angle BAC be bifected by the ftraight line AD ; the rectangle BA, AC is equal to the rectangle BD, DC, together...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 400 pages
...re&angle contained by the fegments of the bafe, together with the fquare of the ftraight line bifedting the angle. Let ABC be a triangle, and let the angle BAC be bifefted by the ftraight line AD ; the reftangle BA, AC is equal to the reftangle BD, DC, together...
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The elements of Euclid: viz. the first six books, with the eleventh and ...

Alexander Ingram, Robert Simson - Trigonometry - 1799 - 351 pages
...rectangle contained by the fegments of the bafe, together with the fquare of the ftraight line bifecting the angle. Let ABC be a triangle, and let the angle BAC be bifefted by the ftraight line AD ; the reftangle BA, AC is equal to the reftangle BD, DC, together...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...rectangle contained by the fegments of the bafe, together with the fquare of the ftraight line bifecting the angle. Let ABC be a triangle, and let the angle BAC be bifeded by by the ftraight line AD ; the rectangle BA, AC is equal to the rectangle BD, DC together...
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Elements of geometry: containing the first six books of Euclid, with a ...

John Playfair - Trigonometry - 1806 - 311 pages
...PROP. C. THEOR. Book VI. 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 Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...QED PROP. C. THEOR. See N. 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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1810 - 518 pages
...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) cyclopędia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...the sectors. 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...the square of the straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangles straight line be drawn perpendicular to the base;...
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