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" 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 these sides, and the straight line intercepted between the perpendicular let... "
Gibson's London matriculation guide, by J. Gibson [and others]. - Page 19
1882
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A Text-book of Geometrical Deductions

James Andrew Blaikie, William Thomson - Geometry - 1891 - 160 pages
...the sum of the squares of the sides of the figure FGHKED is 8BC2. See Ex. 11 (3). 19. In any triangle the square on the side subtending an acute angle is...of the 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...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...intercepted without the triangle between the perpendicular and the obtuse angle. 13. 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 these sides...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Book 2

James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...perpendicular let fall on it from the opposite vertex and the obtuse angle. 13. In every triangle, the square on the side subtending an acute angle is...sides containing that angle, by twice the rectangle contained by either of these sides and the part of it intercepted between the perpendicular let fall...
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Yale Examination Papers

Yale University - 1892 - 200 pages
...line at right angles to a given straight line from a given point in the same.1 2. 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 these sides,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...13 may be written AC2=AB2+BC2-2CB.BD, and it may also be enunciated as follows : 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 these sides,...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...that part. 5. In every triangle the square on the Ģide subtending 20 an acute angle, 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 perpendicular let...
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Elementary Synthetic Geometry

George Bruce Halsted - Geometry - 1896 - 208 pages
...side by the length of its altitude. 519. Theorem. In any triangle, the square on a side opposite any acute angle is less than the sum of the squares on the other two sides by twice the rectangle contained by either of those sides and a sect from the foot...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...AB, together with twice the square on BC. BOOK II. PROPOSITION 13. In any triangle, the square on a side subtending an acute angle, is less than the sum of the squares on the other sides, by twice the rectangle contained by either of these sides, and the part of the side intercepted...
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Sessional Papers, Volume 26, Issue 8

Canada - 1893 - 1092 pages
...theorem which stated in Algebraic language is (a + x)- + (a — #)- = -a- + 2a.-°. 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 contained by either of these sides,...
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Annual Report

Canada. Department of the Interior - 1893 - 1280 pages
...= L'a5 + 2^. 5.ID every triangle, the square on the side subtending an acute angle is 13 less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line in tercepted between the perpendicular let...
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