 | Euclides - 1862 - 140 σελίδες
...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 the part produced. (References — Prop. I. 31, 34, 36, '43, 46; II. 4, cor.) Hypothesis. — Let the straight line AB... | |
 | Robert Potts - 1863 - 482 σελίδες
...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...line bisected, is equal to the square of the straight lino which is made up of the half and the part produced. 6. Upon a given straight line to describe... | |
 | University of Oxford - 1863 - 316 σελίδες
...parallels, are equal to one another. 7. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced,...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 σελίδες
...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... | |
 | Henry White - 1864 - 156 σελίδες
...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,...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 σελίδες
...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 σελίδες
...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 σελίδες
.... . . . . . 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 σελίδες
...rectangle PF. PC may be equal to the rectangle PD . PA. 2 10. 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. 241. From the vertex of any triangle ABC, draw a straight line meeting... | |
 | Civil service - 1866 - 270 σελίδες
...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,...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... 
