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Books Books 31 - 40 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 the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1860 - 317 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,...squares of the sides containing the obtuse angle, by twee the rectangle contained by the side upon which, when produced, the perpendicular falls, and the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 pages
...square on AH. QEF • PROPOSITION XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawtt 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...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...opposite sides and angles of parallelograms are equal to one another, and the diameter bisects them. 2. 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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 pages
...the simple interest of 3 per cent, yearly? 10. Extract the square root of -0006780816. EUCLID. 2. In obtuse-angled triangles if a perpendicular be drawn...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, books i. ii. iii. iv

Euclides - 1862
...in H, so that the rectangle AB . BH, is equal to the square on AH. QEF PROPOSITION 12.— THEOKEM. 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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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...divided in H, so that the rectangle AB, BH, is equal to the square of AH. Q. R F. PROP. XII — THEOREM. In obtuse-angled triangles, if a perpendicular be...of the acute angles to the opposite side produced; then the square of the side subtending the obtuse angle is greater than the squares of the sides containing...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Robert Potts - 1864
...divided in H, so that the rectangle AB, BH is equal to the square on AH. QEF PROPOSITION XII. THEOREM. 2n obtuse-angled triangles, if a perpendicular be drawn...from either of the acute angles to the opposite side produved, the square on the side subtending the obtuse angle, is greater than the squares on the sides...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Alexander Kennedy Isbister - 1865
...II. 1. D. On the Relations between the Sides of a Triangle and the Perpendicular from the Vertet. 1. In obtuse-angled triangles, if a perpendicular be...from either of the acute angles to the opposite side prodnced, the square on the side subtending the obtuse angle is greater than the squares on the sides...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...to the square on AH. QEF PROPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular lie 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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...to the square on AH. QEF PKOPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular lie 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...
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