| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...contained by the segments AG, GB is equal to the square upon the given straight line C. PROP. XXIX. PROB. To produce a given straight line, so that the rectangle contained by the segments between the extremities of the given line, and the points to which it is produced, may be... | |
| Euclides - 1848 - 52 pages
...line. EUCLID S ELEMENTS. PROP. VI. 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 square of half the line bisected, is equal to the square of the straight line which... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...their sum and difference. PROP. VI. THEOR. 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... | |
| Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...a given rectilineal angle. Section 2. 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 square of half the line bisected, is equal to the square of the straight line which... | |
| Education - 1850 - 488 pages
...the perpendicular and the obtuse angle. 2. If a right 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... | |
| Euclides - 1852 - 152 pages
...and difference.] BOOK n. PROP. VI. THEOR. 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 eqaul to the square of the straight line which... | |
| Euclides - Geometry - 1853 - 334 pages
...was to be proved. PEOP. VI. THEOE. If a straight line be bisected, and produced to any point : then the rectangle contained by the whole line thus produced and the part of it produced, together with the square of half the bisected line, shall be equal to the square of the line, which... | |
| Euclides - 1853 - 146 pages
...and difference. PROP. VI. — 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 square of half the line bisected, is equal to the square of tfie straight line which... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...difference. PROPOSITION VI. THEOR. If a straight line be bisected, and produced to any point, lJie 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... | |
| William Walton, Charles Frederick Mackenzie - Education - 1854 - 266 pages
...parts shall be equal to the square of the other part. Produce a given straight line to a point such that the rectangle contained by the whole line thus produced and the part produced shall be equal to the square of the given straight line. In Euclid's figure, the rectangle... | |
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