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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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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 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...intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Prop. 14. To describe a square that shall be equal to a given...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 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. Let ABC be any triangle,...
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Annual Report

1868 - 876 páginas
...square of the side subtending any 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 25 •J. From two given...
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Elementary Geometry, Volumen1

James Maurice Wilson - 1868 - 132 páginas
...square on the side subtending the obtuse angle is greater than the squares on the sides containing that angle by twice the rectangle contained by either of these sides and the projection on it of the other side ........ 65 Exercises on equivalent figures ....... 66 Quadrature...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 páginas
...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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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - 1868 - 276 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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Elements of geometry, containing the first two (third and fourth ..., Parte1

Euclides - 1871 - 136 páginas
...square on the side subtending any of the acute angle* is lea than the square! on 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. Fig. 1. Fig. 2. Let ABC...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 páginas
...square on the side subtending any of the acute angles 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 upon it from the opposite angle, and the acute angle. Fig. 1. Fig. 2. Let ABC...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 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...intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle, and the a,ngle at B one of its acute...
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The Madras University Calendar

University of Madras - 1873 - 436 páginas
...that 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. (a.) ABC is a triangle having...
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