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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... "
Elements of geometry, containing books i. to vi.and portions of books xi ... - Page 91
by Euclides, James Hamblin Smith - 1872 - 349 pages
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National Society's Monthly Paper

1855 - 264 pages
...triangle, the square of the side suhtending 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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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...acute angles is half a right angle. 7. In every triangle, the square on the side subtending either of the acute angles is less than the squares on the...angle, by twice the rectangle contained by either of those sides and the straight line intercepted between the perpendicular let fall upon it from the opposite...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...subtending either of the acute angles is less than the sum of the squares on the sides including this angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular drawn to this side, produced if necessary, from the opposite angular...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...angle. In every triangle the square of the side subtending an acute angle is less than the squares of the sides containing that angle by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular lot fall upon it from the opposite angle. If four straight lines...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...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 those sides and the straight line intercepted between the acute angle and the perpendicular let fall...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...PROPOSITION XIII. THEOREM. In every triangle, the square on the side subtending either of the acute ungles, is less than the squares on the sides containing that...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let AB C be any triangle,...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 468 pages
...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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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...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 those sides and the straight line intercepted between the acute angle and the perpendicular let fall...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...QED PROPOSITION 13.— THEOREM. In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. (References— Prop. I. 12, 16, 47; II. 3, 7, 12.)...
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Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...rectangle, right angle, scalene triangle. 2. In every triangle, the square on the side subtending either of the acute angles is less than the squares on the...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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