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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... "
Euclid, books i. & ii., with notes, examples, and explanations, by a late ... - Page 109
by Euclides - 1879
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...unequal lines AC, CD is equal to the rectangle contained by their sum and difference. Proposition 6.— Theorem. 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...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...equal to the square on that part, together with the rectangle contained by the two parts. .. .. 145 6. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, and the pnrt of it produced, together with the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...contained by the whole and each of the parts are together equal to the square on the whole line. 9. If a straight line be bisected and produced to any point, the rectangles contained by the whole line thus produced, and the part of it produced, together with, etc....
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Edinburgh Medical Journal, Volume 21, Part 1

Medicine - 1876 - 610 pages
...two other straight lines makes the alternate angles equal, those straight lines shall be parallel. 4. 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...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...whom they belong, and anything you know of their history. Same exercise as that set for candidates. 1. 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...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...angle EDF is equal to the angle Л, and that the figure AEDF is half the triangle ABC. SECTION III. 1. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, and the part produced, together with the square...
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 pages
...to construct a straight line, the square on which shall be any given multiple of a given square. 4. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the part produced, together with the square...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 pages
...a straight line, the square on which is any required multiple of the square on AB, may be found. 4. 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...
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Pupil teachers' examination work, by W.P. Warburton, F. [or rather, J.] P ...

William Parsons Warburton - 1878 - 102 pages
...(Waltham), Epping, and of Sherwood itself, are still thickly covered with timber. EUCLID. — (1.) 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...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...the squares on AD, DB are double of the squares on AC, C D. Therefore, if a straight line, etc. QED Proposition X. Theorem. If a straight line be bisected and produced to any point, the squares on the whole line thus produced and on the part of it produced are together double of the square...
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