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" In every triangle, the 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 of these sides, and the straight line intercepted between the perpendicular... "
The figures of Euclid with the enunciations, as printed in Euclid's Elements ... - Page 29
by Euclides - 1840
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...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 angle and the perpendicular let fall...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...(7 * + CB * by 25(7. CD. Proposition 8. Theorem.—In every triangle the square of the side opposite an acute angle, is less than the sum of the squares...angle, by twice the rectangle contained by either of these sides, and the line between the acute angle and the foot of the perpendicular falling on this...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 36 pages
...answer. 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 those sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle and the...
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The Civil service manual for 1879 Government appointments and how to obtain them

Edwin T. Olver - 1879
...angles. 2. In every triangle, the square 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 of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 23

Great Britain. Civil Service Commission - 1879 - 622 pages
...tho base. 4. In every triangle the square of the side subtending any of tho acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by cither of these sides, and the straight line intercepted between the perpendicular let fall upon it...
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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879
...5. 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 fall on it from the opposite...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 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 contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...maximum. 3. 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 acute angle and the perpendicular let fall...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...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 contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879
...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 angle and the perpendicular let fall...
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