| Mathematics - 1836 - 488 pages
...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 the first mentioned part. Сок. 1. Hence, four times the rectangle contained by any two... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...If a straight line be bisected and produced to any point, the rectangle contained by the whole line **produced, and the part of it produced, together with...half the line bisected, is equal to the square of the** line made up of the half and the part produced. Proved by showing that CD* = figs. CH + BF + LG ; and... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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 the first mentioned part. Let the straight line AB he divided into any two parts in the point... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...rectangle contained by the whole 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 the former part. Let the straight line AB be divided into any two parts in C ; * Otherwise... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...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 the first-mentioned part. Let the straight line AB be divided into any two parts in the point... | |
| Euclides - 1838 - 264 pages
...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 part. Let the straight line AB be divided into any two parts in the point C : four times... | |
| Euclides - Geometry - 1841 - 378 pages
...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 part. Let the straight line AB be divided into any two parts in the point C; four times... | |
| Euclides - 1842 - 320 pages
...THEOR. 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 of half the line bisected, is** equivalent to the square of the straight line which is made up of the half and the part produced. Let... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...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 the first-mentioned part. Let the straight line AB be divided into any two parts in the point... | |
| Euclid, James Thomson - Geometry - 1845 - 380 pages
...rectangle contained by the whole 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 the former part. Let the straight line AB be divided into any two parts in C ; four times... | |
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