 | Robert Fowler - 1861 - 426 sider
...&c. &c. according to the explanations in p. 7. 5. Divide a line а feet long into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. Let x = the length of the greater part, in feet. .... | |
 | Euclides - 1862 - 140 sider
...the square on AC. Conclusion. — Therefore, if a straight line, &o. QED PROPOSITION 8. -THEOREM. If a straight line be divided into Any two parts, four...line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole line and... | |
 | Euclides - 1862 - 172 sider
...QED PROP. VIII.— THEOREM. If a straight line be divided into any two parts ; 68 THE SCHOOL EUCLID. parts, together with the square of the other part,...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... | |
 | Euclides - 1863 - 122 sider
...straight line (AB) be divided into ang two parts (at C), Jour times the rectangle (AB, BC) contained bg the whole line, and one of the parts, together with the square of the other part (AC), is equal to the square of the straigh t line (AD), which is made up of the whole andthalpart... | |
 | University of Oxford - 1863 - 316 sider
...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 line which is made up of the half and the part produced. 9. If a straight line be bisected, and produced to any point,... | |
 | Euclides - 1864 - 448 sider
...other part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. c KD Upon AB describe the square A CSB; (i. 46.) bisect... | |
 | Euclides - 1864 - 262 sider
...other part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. FG OKD Upon AB describe the square A CDB; (l. 46.)... | |
 | Henry White - 1864 - 156 sider
...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 line which is made up of the half and the part produced. 4. The diameter is the greatest straight line in a circle; and,... | |
 | Euclides - 1865 - 402 sider
...straight line, &c, QED PROP. VIII.— THEOREM. If a straight line be divided into any two parts ; then four times the rectangle contained by the whole line, and one of the parts, together with the square uf the other part, is equal to the square of the straight line which is made up of the whole and that... | |
 | Robert Potts - 1865 - 528 sider
...together with the square on AC. Wherefore, if a straight lino, &c. QED PROPOSITION VIII. THEOREM. lf a straight line be divided into any two parts, four times the reef angle contained by the whole line, and one of the parts, together with the square on the other... | |
| |
If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the 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... 
