 | John Playfair - Geometry - 1860 - 334 pages
...difference, or that AC 2 —CD 2 =(AC+CD) (AC— • : CD)." SCHOLIUM. PROP. VI THEOR. Ifastraightlinebe bisected, and produced to any point ; the rectangle contained by the whole line that produced, and the part of it produced, together with the square of half the tine bisected, is... | |
 | EDUCATION SOCIETY'S PRESS, CULLA - 1860 - 612 pages
...line, so that the sum of the squares on the given line and the part produced may be equal to twice the rectangle contained by the whole line thus produced, and the part produced. 8 If a point be taken within a circle from which there fall more than two equal straight... | |
 | War office - 1861 - 260 pages
...12'7449. MATHEMATICS. Morning Paper. REV. WN GRIFFIN, MA Voluntary Portion. 2. If a straight line be bisected, and produced to any point, the rectangle...part of it produced, together •with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and... | |
 | War office - 1861 - 714 pages
...of the same, and show that two straight lines cannot have a common segment. 2. If a straight line be bisected and produced to any point, the rectangle...and the part of it produced together with the square of half the line bisected, is equal to the square of the line which is made up of the half and part... | |
 | Euclides - 1862 - 172 pages
...difference. PROP. VI.— THEOREM. If a straight line be bisected, and produced to any point ; then the rectangle contained by the whole line thus produced,...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 made up of the half... | |
 | Euclides - 1862 - 140 pages
...the rectangle contained by their sum and difference. PROPOSITION G.— THEOREM. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, ana, the part of it produced, together with the square on half the line bisected, is equal to the square... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...equal to the squares described upon the sides which contain the right angle. 8. If a straight line be bisected, and produced to any point, the rectangle...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 made up of the half... | |
 | Robert Potts - 1863 - 482 pages
...and back to the other post: determine the shortest course for him to pursue. 5. If a straight line be bisected and produced to any point ; the rectangle contained by the whole line thus produced, ond the part of it produced, together with the square of half the line bisected, is equal to the square... | |
 | Euclides - 1863 - 122 pages
...straight line (AB) be bisected (at G), and produced to ang point (D). the rectangle (AD. DB) contained bg the whole line thus produced, and the part of it produced, together with the square of (CB) half the line bisected, is equal to the square of the straight line (CD) which is made up of... | |
 | Henry White - 1864 - 156 pages
...given triangle, and have one of its angles equal to a given rectilineal angle. 3. If a straight line be bisected, and produced to any point; the rectangle...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 made up of the half... | |
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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... 
