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" In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 52
by John Playfair - 1835 - 316 pages
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...of the side (AB) subtending thf ebtuse angle is greater than the squares of the sides (В С, С А) containing the obtuse angle, by twice the rectangle contained by the side upon which, when prolonged, the perpendicular falls, and the line, without the triangle, between the perpendicular and...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...In obtuse-angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the...perpendicular falls, and the straight line intercepted without the triangle, between the perpendicular and the obtuse angle. ABC is a triangle having a right...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...acute angles to the opposite side produced, the square of the side tubtending the obtuse angle, ii greater than the squares of the sides containing the...angle, by twice the rectangle contained by the side to which, when produced, the perpendicular is drau-n, and the straight line intercepted between the...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...ln obtuse.angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 10. If two circles cut one another,...
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National Society's Monthly Paper

1856 - 376 pages
...obtuse-angled triangles if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 7. Equal straight lines in a circle...
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Manual of Method for the use of teachers in elementary schools

W F. Richards - Elementary school teaching - 1856 - 198 pages
...obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the...perpendicular falls, and the straight line intercepted .without the triangle between the perpendicular and the obtuse angle. .7. Equal straight lines in a...
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general Report on Public Instruction in the lower Provinces of the Bengal ...

JOHN GRAY - 1857 - 784 pages
...sides of a triangle are together greater than the third side. the squares of the sides containing it by twice the rectangle contained by the side upon...perpendicular falls, and the straight line intercepted with the triangle between the perpendicular and the obtuse angle. 3. A straight line is drawn from...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 9. In any isosceles triangle ABC,...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the...perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 9. In any isosceles triangle ABC,...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...obtuse angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the...which when produced the perpendicular falls, and the st. line intercepted without the triangle between the perpendicular and the obtuse angle. CONS. —...
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