 | Euclid - 1835 - 540 pągines
...difference DB. PROP. VI. 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 ivith the square of half the line bisected, is equal to the square of the straight line which is made... | |
 | John Playfair - 1836 - 148 pągines
...&c. QED PROP. XXII. THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the...of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D ; the rectangle AD, DB, together with the square... | |
 | Robert Mudie - 1836 - 524 pągines
...is usually enunciated : " If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the...of the straight line, which is made up of the half of the part produced." 10. Some very useful problems may be performed by means of the principles which... | |
 | Robert Mudie - 1836 - 542 pągines
...is usually enunciated : " If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the...of the straight line, which is made up of the half of the part produced." 10. Some very useful problems may be performed by means of the principles which... | |
 | 1836 - 488 pągines
...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 - 1837 - 112 pągines
...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 - 1837 - 290 pągines
...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... | |
 | John Playfair - 1837 - 332 pągines
...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 - 1837 - 410 pągines
...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... | |
 | Euclides - 1838 - 264 pągines
...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... | |
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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... 
