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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... "
The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ... - Página 47
por Āryabhaṭa - 1878
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1860 - 334 páginas
...subtending any of the acute angles, is less than the squares of the sides containing that angle, by turice the rectangle contained 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,...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1860 - 470 páginas
...square on a side opposite an acute angle is less than the sum of the squares on the other two sides, by twice the rectangle contained by either of these sides, and the distance from the vertex of the acute angle to the foot of the perpendicular let fall on this side,...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 páginas
...of the side subtending either of the acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by either...sides and the straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle. In any triangle shew that...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 páginas
...the squares of the sides containing that angle by twice the rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 3. Show that the angle in a semicircle is a right angle,...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 páginas
...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...sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. (References— Prop. I....
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Responsions

University of Oxford - 1863 - 316 páginas
...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...sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. 4. All the interior angles...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 páginas
...the rectangle (CB, BD) contained lg either of these sides, and the straight line intercepted betwven the acute angle and the perpendicular drawn to it from the opposite angle. To BB, one of the sides containing the acute angle B, draw the perpendicular AD from the opposite angle...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 páginas
...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...intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle, Let ABC be any triangle, and the angle at B one of its acute...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 páginas
...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...intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle, and the angle at B one of its acute...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 páginas
...on the side subtending eitJter of the acate angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either...intercepted between the acute angle and the perpendicular let Jail upon it from the opposite angle. Let ABC be any triangle, and the angle at B one of its acute...
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