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Books Books 41 - 50 of 107 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 Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 283 pages
...fig., and (AC+BC). (AC-BC)=AB. (AD+BD) in the 1st fig. THEOREM XXXVI. In any obtuse-angled triangle, the square of the side subtending the obtuse angle is greater than the sum of the squares of the other two sides by twice the rectangle of the base and the distance of the...
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Annual Report

1868
...to two right angels 20 3. Any two sides of a triangle are together greater than the third side 20 4. 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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Papers for the schoolmaster, Volume 4

1868
...the whole and that part, together with the square of the other part. 3. In an obtuse angled triangle, if a perpendicular be drawn from either of the acute angles to the opposite side prsrtuced, the square on the side subtending the obtuse angle is greater than the sqnares on the sides...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871
...three times the square on the other part. In obtuse-angled triangles, if a perpendicular be arawn rom 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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...the other part. PROPOSITION XII. THEOREM. In obtuse.angled triangles, if a perpendicular be drawn rom 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 acting teacher's and student's in training guide and text book for ...

Henry Major - Student teachers - 1873
...equal to BD ; and FH is the square of AH ; therefore the rectangle AB, BH is equal to the square of AIL XII. — In obtuse-angled triangles, if a perpendicular...the opposite side produced, the square of the side sub' tending the obtuse angle, is greater than the squares of the sides containing the obtuse angle,...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Charles Mansford - 1874
...AH. QEF A line so divided is sometimes said to be cut in section.' medial PROPOSITION 12. 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 squares on the sides containing the obtuse...
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Pure Mathematics, Volume 1

1874
...divided in H, 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 subtending the obtuse angle is greater than the squares on the sides containing the obtuse...
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The Elements of Euclid, containing the first six books, with a selection of ...

James Martin (of the Wedgwood inst, Burslem) - 1874
...divided in H, 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...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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Pure Mathematics, Volume 1

1874
...divided in H, 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...of the acute angles to the opposite side produced, tlie square o?i the side subtending the obtuse angle is greater than t/iA squares on the sides containing...
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