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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 on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Pagina 96
door Robert Potts - 1860 - 361 pagina’s
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The Practical Teacher, Volume 4

1885 - 630 pagina’s
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite sideproduced, the square on the side subtending the obtuse angle,...the rectangle contained by the side upon which, when produce-!, the perpendicular falls, and the straight line intercepted without the triangle between...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pagina’s
...Describe a square upon a given straight line. 8. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...than the squares on the sides containing the obtuse augle by twice the rectangle contained by the side on which, when produced, the perpendicular falls...
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Annual Report

Canada. Department of the Interior - 1888 - 756 pagina’s
...squares on half the line and on the line between the points of section. 6. In an obtuse angled triangle the square on the side subtending the obtuse angle is greater than the squares on the other sides by twice the rectangle contained by one ot those sides, and the pai't of it produced, included...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 pagina’s
...about its diameter will also be a rhombus. 5. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...angle by twice the rectangle contained by the side on which, when produced, the perpendicular falls and the straight line intercepted without the triangle,...
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Greek Geometry from Thales to Euclid

George Johnston Allman - 1889 - 266 pagina’s
...the sum of the squares on the sides which contain the acute angle ; (e). In an obtuse-angled triangle the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing it ; (/). In an isosceles triangle whose vertical angle...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 144 pagina’s
...is equal to the square on half the line. 2. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pagina’s
...enunciation of\\.. 12 can be expressed in a more easily remembered form. In obtuse_angled triangles the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing it by twice the rectangle contained by either of these sides...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 pagina’s
...shall be equal to the square on the other. 12. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side...angle by twice the rectangle contained by the side on which, when produced, the perpendicular falls and the straight line intercepted without the triangle...
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A Text-book of Geometrical Deductions

James Andrew Blaikie, William Thomson - 1891 - 154 pagina’s
...squares on the sides containing that angle. Use Euc. I. 47 and I. 24. 20. In an obtuse-angled triangle the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing that angle. 21. Enunciate and prove the converses of the...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892 - 508 pagina’s
...diagonals ol a square are themselves squares. 20 5. In an obtuse-angled triangle, if a perpendicular drawn from either of the acute angles to the opposite side...angle, by twice the rectangle contained by the side on which when produced, the perpendicular falls, and the line inter cepted without the triangle, between...
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