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" In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let... "
Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey - Page 108
by Euclides, Frederick Burn Harvey - 1880 - 119 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...fides, and the ftraight line intercepted between the perpendicular let fall upon it from the oppofite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC one of the fides containing it let fall the perpen< dicular *...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...fides, and the ftraight line intercepted between the perpendicular let fall upon it from the oppofite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the fides containing it, let fall the perpendicular a...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...fides, and the ftraight line intercepted between the perpendicular let fall upon it from the oppofite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its cute angles, and upon BC, one of the fides containing it, let fall the perpendicular * AD...
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Elements of Geometry: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 462 pages
...fides, and the ftraight line intercepted between the perpendicular let fall upon it from the oppofite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the fides containing it, let fall the perpendicular a...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...fides, and the ftraight line intercepted between the perpendicular, let fall upon it from the oppofite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the fides containing it, let fall ths ai 1. i. perpendicular...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 528 pages
...fides, and the ftraight line intercepted between the perpendicular let fall upon it from the oppofite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC one of the fides containing it let fall the perpendicular a AD...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...by either of these sides and the straight line intercepted between the perpendicular, let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles ; and upon BC, one of the sides containing it, let fall the perpendicular*...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 548 pages
...by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides containing it, let fall the 1 12. 1. perpendicular...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...and the acute angle. .' Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides containing it, let fall the perpendicular" AD from the opposite angle : The square of AC, opposite to the angle B, is less than the squares of CB, BA, by twice the rectangle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 592 pages
...these sides, and the straight line intercepted between the perpendicular let fall upon it from ttie opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides containing it, * 12. 1. let fall the perpendicular*...
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