 | John Playfair - Geometry - 1829 - 186 pages
...together equal to the square of the whole line. ..If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square of the foresaid part.... | |
 | John Playfair - Euclid's Elements - 1832 - 333 pages
...the lines together with the " square of the 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 I he parts? together with thesquare of the other part, is equal to the square of the straight line... | |
 | John Playfair - Euclid's Elements - 1833 - 333 pages
...lines together with the " square of the difference of the lines." PROP. VIII. THEOR. If a straight line be divided into any two parts, four times 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.... | |
 | John Playfair - Euclid's Elements - 1835 - 316 pages
...also derived from the above algebraical equality, by transposition. PROP. VIII. THEOR. If a straight line be divided into any two parts, four times 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... | |
 | Euclid - 1835 - 540 pages
...square of AC. Wherefore, " if a straight 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...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... | |
 | 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... | |
 | Mathematics - 1836 - 472 pages
...contained by the lines together with the square of the difference of the lines. VIII. If a straight line be divided into any two parts, four times 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... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...lines together with the square of the difference of the " lines." PROP. VIII. THEOR. If a straight line be divided into any two parts, four times the...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... | |
 | Andrew Bell - Euclid's Elements - 1837 - 240 pages
...twice the rectangle AB-BC, together with the square of AC. PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times 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... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...these = 2 AH + KF ; ;and that these = 2 AB x BC + AC*. CBD PROPOSITION VIII. Theorem. If a straight line be divided into any two parts, four times the...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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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 the other part, is equal to the square of the straight line which is made up of the whole and that... 
