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" In every triangle, the square on the side subtending either of the acute angles, 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 acute... "
The Principles of Analytical Geometry: Designed for the Use of Students - Page 1
by Henry Parr Hamilton - 1826 - 326 pages
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Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...triangle, the square on the side subtending either of the acute angles is less than the squares on the sides containing that angle, by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 3. Describe an equilateral...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 pages
...1 9. 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...line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. Demonstrate the proposition in the case where the...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle, Let ABC be any triangle,...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle,...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...perpendicular and the obtuse angle. Prop. 13. In every triangle, the square of the side subtending either of the acute angles, is less than the squares of the...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Prop. 14. To describe a...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...triangle, the square on the side subtending eitJter of the acate angles, is less than the squares on the sides containing that angle, by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular let Jail upon it from the opposite angle. Let ABC be any triangle,...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 360 pages
...is greater than BC»+AC2 by 2BC.CD. PROP. XIII. THEOR. • f» every triangle the square of the sid* subtending any of the acute angles, is less than the...perpendicular, let fall upon it from the opposite angle,andthe acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...THEOREM. 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...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B an...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...THEOREM. 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...line intercepted 'between the perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at 5 an...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...either of the acute angles, is less than the squares on the sides containing that angle, by twicp, the rectangle contained by either of these sides, and the straight line intercepted behceen the acute angle and the perpendicular let fall upon it from the opputite angle. Let ABC be...
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