 | John Playfair - Geometry - 1836 - 148 pages
...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... | |
 | Mathematics - 1836 - 488 pages
...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... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...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... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...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... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...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 ;... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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... | |
 | Euclides - 1838 - 264 pages
...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 - Geometry - 1841 - 378 pages
...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 pages
...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 into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...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... | |
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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 on the line between the points of section, is equal to the square on half the line. 
