 | Robert Simson - 1827 - 546 sider
...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... | |
 | John Playfair - 1832 - 358 sider
..."(AC+CD)(AC-CD)" PROP. VI. THEOR. If a straight line be bisected, and produced to any point; therect angle contained by the whole line thus produced, and the...of the half and the part produced. Let the straight lino AB be bisected in C, and produced to the point D D;the rectangle AD.DB, together with the square... | |
 | John Playfair - 1833 - 346 sider
...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 - 336 sider
...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, and the...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 - 540 sider
...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 - 542 sider
...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 - 524 sider
...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... | |
 | John Playfair - 1836 - 488 sider
...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, and the...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 - 488 sider
...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 sider
...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... | |
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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... 
