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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 Euclid: viz. the first six books, together with the eleventh ... - Page 54
by Robert Simson - 1835 - 513 pages
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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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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 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 those sides and the straight line intercepted between the perpendicular let fall upon it from the opposite...
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The Calendar of King's College, London

1857 - 486 pages
...3. 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...upon it from the opposite angle, and the acute angle. 4. If squares be described on the sides of any triangle, and the angular points be joined, the sum...
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The American House Carpenters' and Joiners' Assistant

Lucius D. Gould - 1857 - 464 pages
...find the area of a┐ acute ang'ed ti'iangle. .RuZe.—Multiply the length of the longest side by half the perpendicular let fall upon it from the opposite angle, and the product will be the area. Having the baee and pe┐pendiouZar of a ┐ig1┐t angled triangle, to find...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...side subtending either of the acute angles is less than the squares of the sides containing that acute angle by twice the rectangle contained by either of...upon it from the opposite angle and the acute angle. CONS.— 12. 1., Pst. 2. DEM. — 7- II. If a at. line be divided into any two parts, the squares of...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...the obtuse 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...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
...proposition, 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 those sides and the straight line intercepted between the acute angle and the perpendicular let fall...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...every triangle, the 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...upon it from the opposite angle, and the acute angle. Given any triangle ABC, and the angle at B one of its acute angles, and upon BC, one pf the sides containing...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...triangle, the square on the side subtending either of the acute ungles, is less than the squares on the sides containing that angle, by twice the rectangle...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 - 470 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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