 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 on half the line bisected, is equal to the square on the straight line which is...  Euclid - Page 126by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...rectangle PF.PCmay be equal to the rectangle PD.PA. 164. To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. 165. Two straight lines stand at rig^ht angles to... | |
 | War office - 1861 - 260 pages
...MATHEMATICS. Morning Paper. REV. WN GRIFFIN, MA Voluntary Portion. 2. 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 on half the line bisected, is equal to the square on the... | |
 | War office - 1861 - 714 pages
...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 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 line... | |
 | Euclides - 1862 - 140 pages
...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... | |
 | 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, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...diameter bisects it, that is, divides it into two equal parts. 10. 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 on half the line bisected, is equal to the square on the straight... | |
 | Robert Potts - 1863 - 482 pages
...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 - 1864 - 448 pages
...by their sum AD and their difference DB. PROPOSITION VI. THEOREM. Ifastraight 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 on half the line bisected, is equal to the square on the straight... | |
 | Euclides - 1864 - 262 pages
...their sum AD and their difference DB. PROPOSITION 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 on half the line bisected, is equal to the square on the straight... | |
 | Henry White - 1864 - 156 pages
...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 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... | |
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