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" In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page xv
by Robert Potts - 1876 - 403 pages
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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
...subtending the obtuse angle is greater than the sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by either of these sides, and the produced part of it intercepted between the perpendicular let fall on it from the opposite vertex and...
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Annual Report

Canada. Department of the Interior - 1893 - 1280 pages
...geometrically the theorem which stated in Algebraic language is 13 (a + xy- + (a @ z)! = 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...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...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 between the perpendicular let fall on it from the opposite angle, and...
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Examinations Papers

1894 - 788 pages
...other part. 6. In any triangle the square on a side opposite an acute angle is less than the sum of the squares on the sides containing that angle by twice the rectangle contained by either of them and the part or it between the acute angle and the perpendicular on it from the opposite angle....
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 390 pages
...the square of a side subtending an acute angle is less than the sum of the squares of the other sides by twice the rectangle contained by either of these sides and the projection upon it of the other side. p\ > Given: C, an acute angle of triangle ABC, and PC, the projection...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...square on a side subtending an acute angle, is lens 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 between the perpendicular let fall on it from the opposite angle, and...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...the rectangle contained by the whole and one part may be equal to the square on the other part. 6. In every triangle, the square on the side subtending an acute angle is less than the squares on tho sides containing that angle, by twice the rectangle contained by either of these sides and the...
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Calendar, for the Year ...

1899 - 166 pages
...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 between the perpendicular let fall on it from the opposite angle, and...
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Sessional Papers, Volume 22, Part 2

Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...describe a triangle equal to a given parallelogram and having one of its angles half a given angle. 4. In every triangle, the square on the side subtending...the squares on the sides containing that angle, by Uvice the rectangle contained by either of these sides, and the straight line intercepted between the...
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Annual Report of the Commissioners ..., Volume 66

1900 - 650 pages
...circumference. 4. In any triangle the square on any side subtending an acute angle is less than the sum of the squares on the sides containing that angle, by twice the rectangle contained by either of them and the intercept between the acute angle and the foot of the perpendicular on it from the opposite...
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