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" IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. "
The first and second books of Euclid explained to beginners, by C.P. Mason - Page 152
by Euclid, Charles Peter MASON - 1872
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Annual Report

1891 - 856 pages
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Calendar

University of Cambridge - 1859 - 312 pages
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pitt press mathematical series euclids elements of geometry

h. m. taylor - 698 pages
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Examination,Midsummer,1879

Education Department - 1879 - 1136 pages
...triangle, as diameters, shew that the hypotenuse BC passes through one of the points of intersection. B2 4. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the line between the points of...
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Examinations Papers

1876 - 382 pages
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The Elements of Plane Geometry

Euclid - 1845 - 336 pages
...pentagon has its five sides equal ; if it have any three angles equal, it is a regular pentagon. 19. 1. If a straight line be divided into two equal, and also into two unequal, parts, compare the lengths of the unequal parts if the rectangle contained by them be three times the square...
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Calendar

University of Cambridge - 1870 - 782 pages
...point /' : prove that AE is equal to EF. 2. If a straight line be divided into two equal, and alao into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section....
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Elementary Geometry Plane (Classic Reprint)

James McMahon - 2018 - 244 pages
...Verify numerically. Ex. 11O4. If a straight line is bisected and also divided unequally (as in Ex. 1097) the squares on the two unequal parts are together equal to twice the rectangle contained by these parts together with four times the square on the line between the points...
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Parliamentary Papers, Volume 31

Great Britain. Parliament. House of Commons - Great Britain - 1877 - 574 pages
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Journal, Volume 13

Industrial arts - 1865 - 542 pages
...containing the right angle of a right-angled triangle are equal to the square on the other side. (4) If a straight line be divided into two equal and also into unequal part*, the squares on the two unequal parts are together double of the square on half the line,...
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