 | John Playfair - 1833 - Liczba stron: 346
...contained by the whole line, and one of the parts, together with the square of the other part, is equalto the square of the straight line which is made up of the whole and the jir si-mentioned part. Let the straight line AB be divided into any two parts in the... | |
 | John Playfair - 1835 - Liczba stron: 336
...their squares, B ID PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced,...together with the square of half the line bisected, is equ2l to the square of the straight line which is made up of the half and the part produced. Let the... | |
 | Euclid - 1835 - Liczba stron: 540
...and 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... | |
 | Robert Mudie - 1836 - Liczba stron: 524
...last truth is usually enunciated : " If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced,...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 - Liczba stron: 542
...last truth is usually enunciated : " If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced,...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... | |
 | John Playfair - 1836 - Liczba stron: 488
...c 36. 1. d 43. 1. PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced,...square of the straight line which is made up of the hay' and the part produced. Let the straight line AB be bisected in C, and produced to the point D;... | |
 | 1836 - Liczba stron: 488
...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 - Liczba stron: 112
...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 - Liczba stron: 290
...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 - 1837 - Liczba stron: 410
...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... | |
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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... 
