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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 Dublin University Calendar - Page lxxxviii
by Trinity College (Dublin, Ireland) - 1917
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 pages
...square on a side subtending an acute angle is less than the squares on the sides containing that angle, by twice the rectangle contained by either of those...sides and the straight line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. 12. When does a straight...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 pages
...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 angle and the perpendicular let fall upon it from the opposite angle. (Prove this for the case in which all the angles of the triangle...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...the squares of the sides contain' ing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular drawn to it from the opposite angle. Let BCD be a triangle (above figure), and the angle at 0 an acute angle...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...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 those...sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. . • • • i. 14. Show...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...on the side subtending an acXite angle is less than the squares on the sides containing that angle by twice the rectangle contained by either of those...sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. The sum of the squares on...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...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 angle and the perpendicular let fall upon it from the opposite angle. Show that the rectangle contained by the sides of a rightangled...
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The Civil service manual for 1879 Government appointments and how to obtain them

Edwin T. Olver - 1879 - 158 pages
...the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. I. II. Majorca Iceland Teneriffe Madeira Mauritius Java Ceylon...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...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 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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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...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 angle and the perpendicular let fall upon it from the opposite angle. If the side BO of a triangle ABC is bisected in D, prove...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 pages
...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 angle and the perpendicular let fall upon it from the opposite angle. Show that the rectangle contained by the sides of a right-angled...
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