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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... "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Página 67
por Euclid, Isaac Todhunter - 1867 - 400 páginas
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Cambridge University Examination Papers

University of Cambridge - 1884 - 624 páginas
...its angles equal to a given rectilineal angle. 5. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...triangle, between the perpendicular and the obtuse angle. If ABC be the triangle, AD the perpendicular, and from AD produced DF be cut off equal to AB, and DG...
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Stewart's guide-book to the queen's scholarship and certificate examinations ...

Stewart W. and co - 1884 - 146 páginas
...twice their rectangle by re2. QED SECTION IV. 1. (a) In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles, to the opposite...angle by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triacgle...
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The Practical Teacher, Volumen3

1884 - 708 páginas
...to the square on half the line. Prop, s, Bk. H. 3. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...subtending the obtuse angle is greater than the squares containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced,...
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The Civil service year book and official calendar

1884 - 266 páginas
...opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted, without the...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 páginas
...rectangle AB, BH is equal to the square of AH. . — In obtuse-angled triangles, if a perpendicular be drawn from, either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884 - 148 páginas
...triangles APB, PCD is half the parallelogram. 5. In an obtuse-angled triangle, if a perpendicular be drawn from either of the acute angles to the opposite side produced, prove that the square of the side subtending the obtuse angle is greater than the squares of the sides...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 páginas
...its angles equal to a given rectilineal angle. 5. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite....triangle, between the perpendicular and the obtuse angle. If A be the vertex of an obtuse-angled isosceles triangle ABC, and ED the perpendicular from В on...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 páginas
...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...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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The Practical Teacher, Volumen4

1885 - 630 páginas
...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,...angle, by twice the rectangle contained by the side upon which, when produce-!, the perpendicular falls, and the straight line intercepted without the...
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Annual Report

Canada. Department of the Interior - 1888 - 756 páginas
...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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