 PROP. VIII. THEOR. 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...  Rider Papers on Euclid (books I. and II.) - Page 63by Rupert Deakin - 1891 - 79 pagesFull view - About this book
 | Euclides - 1862 - 172 pages
...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 line AB be divided into... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...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 and the part produced. 10. If a straight line be divided into two equal, and also into two unequal... | |
 | Euclides - 1863 - 122 pages
...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... | |
 | Euclides - 1864 - 262 pages
...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.)... | |
 | Euclides - 1864 - 448 pages
...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 - 1865 - 402 pages
...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 pages
...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 and the part produced. Let the straight line AB be bisected in C, and produced to the point D.... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...straight line &c. QED B t> PROPOSITION 8. THEOREM. If a straight line be divided into any two parti, four times the rectangle contained by the whole line and one of the parts, together with the square en the other part, is equal to the square on the straight line which is made up of the whole and that... | |
 | 1867 - 224 pages
...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 and the part produced. Homer, Od. I— XII. Translate, with comments where necessary : — Tw... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...THEOREM. If a straight line be divided into any two parts, four times the rectangle contained l)ij the whole line and one of the parts, together with the square en the other part, is equal to the square on the straight line which is made up of the whole and that... | |
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