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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 acute... "
The Principles of Analytical Geometry: Designed for the Use of Students - Page 1
by Henry Parr Hamilton - 1826 - 326 pages
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 pages
...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...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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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...squares of the sides containing that angle, by t( the rectangle contained by either of those si e , and the straight line intercepted between the perpendicular let fall upon it from the opposifr angle, and the acute angle. 4. Describe a parallelogram that shall be to a given triangle,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...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...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B an...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 568 pages
...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. (Prop. 13, Book II.) 298...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...twice the rectangle BC, CD. ~KIII. — In every triangle, the square of the side subtending either of the acute angles, is less than the squares of the...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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Cambridge University Examination Papers

University of Cambridge - 1884 - 624 pages
...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 from the opposite angle and the acute angle. Prove this proposition only in the case of an acute-angled...
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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 pages
...acute-angled triangles, the square on the side subtending an acute angle, in 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. If A be the vertex of an acute-angled isosceles...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...7. 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. 8. On a given straight line describe a segment...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1886 - 640 pages
...27. 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. Prove this in the case when the perpendicular falls...
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Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...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 lot fall upon it from the opposite angle. 6. Find the centre of a...
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