 | John Playfair - 1836 - 148 σελίδες
...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... | |
 | Robert Mudie - 1836 - 542 σελίδες
...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 - 1836 - 524 σελίδες
...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... | |
 | 1836 - 488 σελίδες
...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... | |
 | Euclides - 1837 - 112 σελίδες
...KF, and that 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,...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... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...equal to the square of their difference, together with four times their rectangle. PROP. VIII. THEOR. IF a straight line be divided into any two parts, four times the 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... | |
 | John Playfair - 1837 - 332 σελίδες
...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... | |
 | Andrew Bell - 1837 - 290 σελίδες
...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... | |
 | Charles Reiner - 1837 - 254 σελίδες
...a c. M.—Express this truth in words. P.—If a straight line be divided into any two parts, twice the rectangle contained by the whole line and one of the parts is equal to twice the square upon that part, together with twice the rectangle contained by the parts.... | |
 | Robert Simson - 1838 - 434 σελίδες
...rectangle AB, BC, together with the square AC. Wherefore, if a straight line, &c. QED PROP. VIII. THEOR. Ir a straight line be divided into any two parts, four...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 the rectangle AB,... | |
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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... 
