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" If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made... "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 83
by Euclides - 1871
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...straight line be bisected, and produced to Prop. 33. Prop. 29. Hyp. Prop. 35. Prop. 37. Cor. Prop. 43. any point; the rectangle contained by the whole line...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...be + (a — &)=a 2 ; or be + (c—a)> = a e . 62 Prop. Prop. HypProp. Prop. Cor. Prop. GEOMETRY. any point; the rectangle contained by the whole line...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...are together double of the squares of AC, CD. Wherefore, If a straight line Ssc. QED PROP. X. THEOR. If a, straight line be bisected and produced to any point, the squares of the whole line thus produced and of the part of it produced are together double of the square...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1847 - 340 pages
...difference of two quantities, is equivalent to the difference of their squares E PROP. VI THEOR. Ifastfaight line be bisected, and produced to any point ; the...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...square of half the line, and of the square of the line between the points of section. PROP. X. THEOREM. If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1849 - 332 pages
...difference of their squares * \ / / M. PROP. VI THEOR. If a straight line be bisected, andproducedto any point ; the rectangle contained by the whole line...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...AD, DB are double of the squares of AC, CD. If, therefore, a straight line, &c. QED PROP. X. THEOR. If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double...
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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Section 2. 1. If a straight line be bisected and produced to any...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half,...
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The English Journal of Education, Volume 4

Education - 1850 - 488 pages
...line intercepted without the triangle between the perpendicular and the obtuse angle. 2. If a right line be bisected, and produced to any point; the rectangle...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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Papers for the Schoolmaster, Volume 2

1852 - 314 pages
...equal to the squares described upon the sides which contain the right angle. 11. If a straight line bo bisected and produced to any point ; the rectangle contained by the whole line thus produced, together with the square of half the line bisected, is equal to the square of the straight line which...
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