 | John Playfair - Euclid's Elements - 1833 - 346 pages
...difference of the lines." PROP. VIII. THEOR. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and...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.... | |
 | Euclid - 1835 - 540 pages
...line," &c. QED PROP. VIII. THEOR. JJ F E a 34. 1. 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 t/ie other part, is equal to the square of the straight line which is made up of the whole and that... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...produced, and the part of it 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 straight line AB be bisected in C, and produced to the point D... | |
 | Mathematics - 1835 - 684 pages
...square of the whole une. PROP. 31. (Eue. ii. 3.) If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts, shall be equal to the rectangle contained by the two parts, together with the square of the aforesaid... | |
 | Robert Mudie - Mathematics - 1836 - 524 pages
...line thus produced, and the part of it produced, together with the square of half the line bisected is equal to the square 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... | |
 | Robert Mudie - Mathematics - 1836 - 542 pages
...line thus produced, and the part of it produced, together with the square of half the line bisected is equal to the square 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... | |
 | Mathematics - 1836 - 488 pages
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. VII. If a straight line be divided into any two parts, the squares of the... | |
 | John Playfair - Geometry - 1836 - 148 pages
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of 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... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...difference of the " lines." 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, togetiier with the square of the other part, is equal to the square of the straight line which is made... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...AB x BC + AC*. CBD PROPOSITION VIII. Theorem. If a straight line be divided into any two parts, four times the rectangle contained by the whole line and...square of the other part, is equal to the square of the line made up of the whole and that part. R In the construction of the figure it is necessary to show... | |
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PROP. VIII. THEOR. IF a straight line be divided into any two parts, tour 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... 
