 | Euclides - 1862 - 172 pàgines
...divided into any two parts ; 68 THE SCHOOL EUCLID. parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part. (References — Prop. i. 3, 31, 34, 36, 43, 46 ; n. 4, Cor.) Let the straight... | |
 | Euclides - 1862 - 140 pàgines
...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 pàgines
...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 pàgines
...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 line which is made up of the half... | |
 | Euclides - 1863 - 122 pàgines
...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 pàgines
...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...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 pàgines
...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 pàgines
...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 pàgines
.... . . . . . 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 pàgines
...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... | |
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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... 
