 | John Keill - 1723 - 444 σελίδες
...'d under the Line, compounded of the whole and added Line, (taken as one Line,) and the added Line, together with the Square of half the Line, is equal to the Square of the Line compounded of half the Line, and the added Line taken as oat Line. T ET the Right Line AB be blfec*ted... | |
 | Euclid, John Keill - 1733 - 444 σελίδες
...under the Line, compounded of the whole and added Line, (taken at, one Line,") and the added Line, together with the Square of half the Line, is equal to the Square of the Line compounded of half the Lint, and the added Line taken as one Line. LE T the Right Line AB be bifected... | |
 | John Playfair - 1806 - 320 σελίδες
...square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the suaight line AB be bisected in C, and produced to the point D ; the squares... | |
 | Robert Simson - 1806 - 546 σελίδες
...square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D ; the squares... | |
 | John Mason Good - 1813 - 714 σελίδες
...square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Prop. XI. Prob. To divide a given straight line into two parts, so that thé rectangle... | |
 | Charles Butler - 1814 - 582 σελίδες
...contained by the line produced and part produced, together with the square of half the line bisected, is equal to the square of the line made up of the half, and part produced. QED Cor. Hence, if three lines x, a-\ x, and 2a + r be arithmetically proportional,... | |
 | Euclides - 1816 - 588 σελίδες
...square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the straight line AB be bisected in C and produced to the point D ; the squares... | |
 | Euclides - 1821 - 294 σελίδες
...rectangle under the whole line and lesser sea:, together with the square of half the greater seg. is = to the square of the line made up of the half and Wser seg. (prop 6, b. 2,) .-. the Q2 of the half is ths fifth part of the Q2 of th-s compound line.... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the straight line AB be bisected in С and produced to the point D ; the squares... | |
 | Robert Simson - 1827 - 546 σελίδες
...square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced, Let the straight line AB be bisected in C, and produced to the point D: the squares... | |
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If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the... 
