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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 ... - Page 96
by Robert Potts - 1860 - 361 pages
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The Practical Teacher, Volume 4

Education - 1885
...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
...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
...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 - Mathematics - 1889
...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 - Geometry - 1889 - 237 pages
...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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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 pages
...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 - 515 pages
...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, Graduated and Arranged in Order of ...

Rupert Deakin - Euclid's Elements - 1891 - 79 pages
...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: Book I [-II] Corresponding to ..., Book 1

James Andrew Blaikie, William Thomson - Geometry - 1891
...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 - Education - 1892
...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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