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Books Books 51 - 60 of 106 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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Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - Geometry - 1876 - 348 pages
...and one of the parts are equal to three times the square on the other part. PROPOSITION XII. THEOREM. In obtuse.angled triangles, if a perpendicular be...acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squara on the sides containing the obtuse...
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Elements of geometry, based on Euclid, Books 1-3

Edward Atkins - 1876
...divided in II, so that the rectangle AB, BH is equal to the square on AH. QEF Proposition 12.— Theorem. In obtuse-angled triangles if a perpendicular be drawn...acute angles to the opposite side produced, the square on the side sid)tending the obtuse angle is greater than the squares on the sides containing the obtuse...
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THE MADRAS UNIVERSITY CALENDAR

7 - 1876
...by the whole and each of the parts are together equal to the square on the whole line. PART II. VI. In obtuse-angled triangles, if a perpendicular be...of the acute angles to the opposite side produced, prove that the square on the side subtending the obtuse angle is greater than the squares on the sides...
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Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - Geometry - 1876 - 348 pages
...parts are equal to three times the square on the other part. PROPOSITION XII. THEOREM. In oUuse-angled triangles, if a perpendicular be drawn from either...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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 403 pages
...the rectangle All, BH'\a equal to the square on AH. QEF PROPOSITION XIL THEOREM. In obtuse-iznglml triangles, if a perpendicular be drawn from either of the acute angles to the opposite tide produced, the square on the tide tubtending the obtute angle, it greater than the squares on the...
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Examination Christmas,1875

Education Department,London - 1876
...of the half and part produced. Describe a rectangle equal to the difference of two given squares. 2. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles on the opposite side produced, the square on the side subtending the obtuse angle is greater than the...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...of CD and the rectangle BD.DC. Wherefore if a straight lino &c. QED PROP. xxix. THEOREM. (E. 2. 12). In obtuseangled triangles, if a perpendicular be drawn from either of the acute angles to ihe opposite side produced, the square of the side subtending the obtuse angle, is greater than the...
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In literis Graecis et Latinis

Oxford univ, exam. papers, 1st publ. exam - 1879
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 9. In obtuse-angled triangles, if a perpendicular be...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...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...divided in H so that the rectangle AB, BH is equal to the square on A H. QEF Proposition XII. Theorem. In obtuse-angled triangles, if a perpendicular be...acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than thi squares on the sides containing the obtuse...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879
...rectangle contained by the parts, except when the line is bisected, and then they are equal. SECTION IV. i. In obtuse-angled triangles, if a perpendicular be...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...
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