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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... "
Papers Read at the Royal Institute of British Architects - Seite 2
1865
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The student's guide to the University of Durham, with information respecting ...

1880 - 160 Seiten
...contained by the whole and that part, together with the square on the other part. 9. In obtuse-angled triangles, if a perpendicular be drawn from either...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 for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 178 Seiten
...straight line AB is divided into two parts in H, us required. QEF PROP. XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either...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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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 Seiten
...from the angular points to bisect the opposite sides meet in a point. SECTION IV. 1. In obtuse-angled triangles, if a perpendicular be drawn from either...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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Report of Her Majesty's Civil Service Commissioners, Together with ..., Band 24

Great Britain. Civil Service Commission - 1880 - 670 Seiten
...of the squares on OA and AB is equal to the rectangle contained by OB and ОС. 6. In obtuse-angled triangles, if a perpendicular be drawn from either...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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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 Seiten
...square on half the line. State and explain Euclid's corollary to this proposition. 2. In obtuse-angled triangles, if a perpendicular be drawn from either...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: With Notes, an ...

Isaac Todhunter - 1880 - 426 Seiten
...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 from either of the acute angles to the oppotite tide produced, the square on the tide subtending the obtuse angle is greater than the squares...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 Seiten
...greater than twice their rectangle except when the line is bisected. SECTION IV. 1. In obtuse-angled triangles, if a perpendicular be drawn from either...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 Oxford examiner, ed. by M.W.I. Shilleto, Ausgaben 1-5

Mary W I. Shilleto - 1882 - 418 Seiten
...not to confine themselves to one paper, but to make use of the whole set. («) 1. In obtuse-angled triangles, if a perpendicular be drawn from either...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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Cambridge University Examination Papers

University of Cambridge - 1884 - 624 Seiten
...given triangle, and have one of its angles equal to a given rectilineal angle. 5. In obtuse-angled triangles, if a perpendicular be drawn from either...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 Practical Teacher, Band 3

1884 - 708 Seiten
...the points of section, is equal to the square on half the line. Prop, s, Bk. H. 3. In obtuse-angled triangles, if a perpendicular be drawn from either...acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares containing the obtuse angle, by...
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