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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 the base, together with the square of the... "
A Supplement to the Elements of Euclid - Page 325
by Daniel Cresswell - 1825 - 582 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 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...bisecting 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,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 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...bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected by the straight line AD ; the rectangle BA, AC is equal to the rectangle BD,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...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...bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected by the straight line AD ; the rectangle BA, AC is equal to the rectangle BD,...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 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...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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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...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...square of the straight line, bisecting the angle. * 5.4. Describe the circle3 ACB about the triangle, and proLet ABC be a triangle, and let the angle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...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...bisecting 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,...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...be bisected by a straight line, which likentist cuts the base ; the rectangle contained by the sides of the triangle is equal to the rectangle contained...bisecting the angle* Let ABC be a triangle, and let the angle BAC be bisected by the .straight line AD; the rectangle BA.AC is equal to the rectangle BD.DC,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...straight line, which likewise cuts the base ; the rectangle contained by the sides of the triangle ist equal to the rectangle contained by the segments of...bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected by the straight line AD; the rectangle BA.AC is equal to the rectangle BD. DC,...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 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 sijuare of the straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangle a...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...straight line which likewise cuts the base ; the rectangle contained by the sides of the triangle it equal to the rectangle contained by the segments of the base, together tcilh the square of the straight line bisecting the angle. straight line AD ; the rectangle BA, AC...
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