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" If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected; and of the square on the line made up of the... "
Elements of geometry, containing books i. to vi.and portions of books xi ... - Page 88
by Euclides, James Hamblin Smith - 1872 - 349 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...on lite whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected, and of the square...made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D. • Then the squares on AD, DB, shall...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected, and of the square...the line made up of the half and the part produced. . . ..156 A. If one side of a triangle be bisected, the sum of the squares on the other two sides is...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...produced, and the square on the part of it produced, are together double of the square on half tbe line bisected, and of the square on the line made up of the half and the part produced. , TJ A /«'-9» + 20\ /a3- 13s + 42^ . 1. Reduce { x2 _ Gx ) { j _ 5x ) to the sunplest form. 2. Solve...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...point, the squares on the whole line thus produced and on the part of it produced are together double of the square on half the line bisected, and of the square...made up of the half and the part produced. Let the straight line AB be bisected in C and produced to D. Then the squares on AD, DB shall be double of...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected, and of the square...line made up of the half and the part produced. Let AB be bisected in C and produced to D. Then shall sqs. on AD, DB be double sqs. on AC, CD. _w Constr....
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected, and of the square...the line made up of the half and the part produced. 11. Show how to divide a given line into two parts so that the rectangle contained by the whole and...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected and of the square...the line made up of the half and the part produced. Produce a given straight line so that the square on the whole line thus produced may be double the...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected and of the square...line made up of the half and the part produced. Let AB be a straight line bisected in C, and produced to D. Then it is to be proved that The squares on...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected and of the square...the line made up of the half and the part produced. 7. The angles in the same segment of a circle are equal to one another. A straight line AB is placed...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected and of the square on the line made up ofthe half and the part produced. Let the straight line AB be bisected at C, and produced to D : the...
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