 | 1836 - 488 σελίδες
...into two unequal parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. COR. From this proposition it is manifest, that the difference of the squares of... | |
 | John Playfair - 1836 - 148 σελίδες
...also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into... | |
 | Euclides - 1837 - 112 σελίδες
...into two unequal parts, the rectangle A contained by the unequal parts, I together with the square of the line between the points of section, is equal to the square of half the line. Proved by showing that BC* = figs. CM + HG +LF; and that these = figs. AH + LF ;... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...into two unequal parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the straight line AB be bisected in C, and divided unequally in D : the rectangle... | |
 | Andrew Bell - 1837 - 290 σελίδες
...also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the straight line AB he divided into two equal parts in the point C, and into... | |
 | John Playfair - 1837 - 332 σελίδες
...andalsointo two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into... | |
 | Euclid - 1838 - 470 σελίδες
...between the points of section, is equal to the square of half the line. • Let the straight line AH be divided into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB.... | |
 | Euclides - 1838 - 264 σελίδες
...into two unequal 'parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into... | |
 | Euclides - 1841 - 378 σελίδες
...also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into... | |
 | Euclides - 1842 - 316 σελίδες
...together with the square of the line between the points of section, is equivalent to the square of half the line. Let the straight line AB be divided...equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square of CD, is equivalent to the square... | |
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If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 
