 | 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... | |
 | 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 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... | |
 | 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 the... | |
 | 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... | |
 | 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...which is made up of the half and the part produced. 4. The diameter is the greatest straight line in a circle; and, of all others, that which is nearer... | |
 | Euclides - 1864 - 262 pages
...rectangle PF. PC may 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 right angles to each other, one... | |
 | Euclides - 1864 - 448 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 right angles to each other, one... | |
 | Euclides - 1865 - 402 pages
.... . . . . . n. 5. 2. If a straight line be bisected, and produced to any point, the rectangle under 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 made up of the half... | |
 | Robert Potts - 1865 - 528 pages
...the half line, and the line made up of the half and part produced. 10. Produce a given line so that the rectangle contained by the whole line thus produced, and the part produced may be equal to the square on half the line. 11. If AM, MG, GA be joined, fig. Euc. n. 5,... | |
 | Civil service - 1866 - 270 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...which is made up of the half and the part produced. 4. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer... | |
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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 on half the line bisected, is equal to the square on the straight line which is made... 
