| John Playfair - Euclid's Elements - 1846 - 332 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
...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
...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
...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
...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 - Mathematics - 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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