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" In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Strona 62
autor: John Playfair - 1819 - Liczba stron: 333
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...9. In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. 10. If a straight line touch a circle, and from...
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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879
...5. In every triangle, the square on the side subtending an acute angle is less than the squares on the sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. 5. Why cannot we satisfactorily demonstrate propositions...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879
...triangle, the square on the side subtending either of the acute angles is less than the squares on the sides containing that angle by twice the rectangle...sides and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Show that the rectangle...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...triangle, the square on the side subtending either of the acute angles is less than the squares on the sides containing that angle by twice the rectangle...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle,...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - Liczba stron: 266
...Theorem.—In every triangle the square of the side opposite an acute angle, is less than the sum of the squares of the sides containing that angle, by...rectangle contained by either of these sides, and the line between the acute angle and the foot of the perpendicular falling on this side from the opposite...
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Report of Her Majesty's Civil Service Commissioners, Together with ..., Tom 23

Great Britain. Civil Service Commission - 1879
...segments of tho base. 4. In every triangle the square of the side subtending any of tho acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by cither of these sides, and the straight line intercepted between the perpendicular let fall upon it...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - Liczba stron: 36
...answer. In every triangle the square on the side subtending an acute angle is less than the squares on the sides containing that angle by twice the rectangle contained by either of those sides, and the straight line intercepted between the perpendicular let fall on it from the opposite...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...3. In every triangle the square on the side subtending an acXite angle is less than the squares on the sides containing that angle by twice the rectangle contained by either of those sides, and the straight line intercepted between the perpendicular let fall on it from the opposite...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - Liczba stron: 400
...THEOREM. tn every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC beiany triangle, and the angle at B an...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - Liczba stron: 119
...THEOREM. In every triangle the square on the side subtending an acute angle is less than the squares on the sides containing that angle, by twice the rectangle...sides and the straight line intercepted between the perpenrlicular let fall on it from the opposite angle, and the acute angle. Let ABC be any triangle,...
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