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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... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ... - Σελίδα 242
των Robert Potts - 1865 - 504 σελίδες
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 σελίδες
...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...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 σελίδες
...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...

Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 σελίδες
...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...

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 σελίδες
...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...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...-&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...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 σελίδες
...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...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...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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