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Books Books 21 - 30 of 110 on In obtuse-angled triangles, if a perpendicular be drawn from either of the acute....
" In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the... "
Government examinations, a companion to 'Under government' and a key to the ... - Page 88
by Joseph Charles Parkinson - 1860
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...equals 48, which is less than 64, or the square of 8.] OF EUCLID. PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular be drawn from either...angles to the opposite side produced, the square of the sides subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle,...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853
...kd PEOPOSITION XII. — THEOREM. In obtuse-angled triangles, if a perpendicular be drawn froni any of the acute angles to the opposite side produced,...of the side subtending the obtuse angle is greater tJian the squares of the sides containing the obtuse angle, by twice the rectangle contained by the...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose

Euclides - 1853
...divided in K, as was required. Which was to be done. PEOP. XII. THEOE. In any obtuse-angled triangle, the square of the side subtending the obtuse angle is greater than the squares of the sides including the obtuse angle, by twice the rectangle contained by either of those sides, and the straight...
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 362 pages
...obtuse-angled triangle if a perpendicular be drawn from the vertex of either of the acute angles upon the opposite side produced, the square of the side subtending the obtuse angle is greater than the sum of the squares of the sides forming the obtuse angle by twice the rectangle contained by the side...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - Science - 1854
...to be done. PROPOSITION XII.— THEOEEM. In an obtuse-angled triangle (ABC), if a perpendicular (AD) be drawn from either of the acute angles to the opposite side prolonged, the square of the side (AB) subtending thf ebtuse angle is greater than the squares of the...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 318 pages
...the square of AH. PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced,...obtuse angle is greater than the squares, of the sides contammg the obtuse angle, by twice the rectangle contained by the side upon which, when produced,...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...by catting off from it a part equal to their difference, and so on continually. PROP. XIL THEOREM. In obtuse-angled triangles, if a perpendicular be...the opposite side produced, the square of the side tubtending the obtuse angle, ii greater than the squares of the sides containing the obtuse angle,...
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The practice of engineering field work, applied to land, hydrographic, and ...

W. Davis Haskoll - Technology & Engineering - 1858 - 324 pages
...the square of the straight line, which is made up of the whole line and that part. In obtuse angled triangles, if a perpendicular be drawn from either...of the acute angles to the opposite side produced, tho square of the side subtending the obtuse angle is greater than GEOMETRICAL MEMORANDA. — PERPEls-DICULARS....
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 2

Euclides - 1858
...perpendicular It drawn from cither of tlte acute s to the opposite sidt produced, the square of the fide subtending the obtuse angle is greater than the squares of the sides containing the rib'use angle by tiriee the rect. contained by the side upon which when produced the perp. falh, and...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pages
...condition in italics is not fulfilled, where would the construction for this proposition fail ? 3. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute nngles to the opposite side produced, the square of the side subtending the obtuse angle is greater...
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