 | Euclides - 1837 - 112 σελίδες
...the part of it produced, together with the square of 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 these = AL + CM + LG, which = AM + LG, and that... | |
 | Euclides - 1841 - 378 σελίδες
...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 of AD, DB shall be double... | |
 | John Playfair - 1842 - 332 σελίδες
...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 of AD, DB are double of... | |
 | Euclides - 1842 - 316 σελίδες
...produced, are together equivalent to 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 tothe point r>: the squares of AD, DB are equivalent... | |
 | Euclid, James Thomson - 1845 - 382 σελίδες
...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 D ; the squares of AD, DB are double of the squares... | |
 | Euclides - 1845 - 546 σελίδες
...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. Then the squares of AD, DB, shall be... | |
 | Euclides - 1846 - 292 σελίδες
...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 D : the squares of AD, DB shall be together double... | |
 | Euclides - 1848 - 52 σελίδες
...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. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained... | |
 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...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 of AD, DB are double of... | |
 | Janet Taylor - 1851 - 674 σελίδες
...the whole line produced, and of the part produced, will be double the squares of half the line and of the line made up of the half and the part produced. Suppose the right line AB bisected in the point C, and again divided into two unequal parts in the... | |
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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... 
