 | John Playfair - Euclid's Elements - 1832 - 358 pages
...likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parls, and also into two unequal parts; the rectangle contained by the unequal...point C, and into two unequal parts in the point D; the rectangle AD DB, together with the square of CD, is equal to the square of CB, orAD.DB+CD==CB.... | |
 | Euclid - 1835 - 540 pages
...b31. 1. c 43. 1. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal...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.... | |
 | John Playfair - Geometry - 1836 - 148 pages
...squares. / G H / CPROP. XXI. THEOR. If a straight line lie divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal...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.... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal...square of half the line. Let the straight line AB he .divided into two equal parts in the point C, and into two unequal parts in the point D ; the rectangle... | |
 | Mathematics - 1836 - 488 pages
...square are likewise squares. V. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal...section, is equal to the square of half the line. COR. From this proposition it is manifest, that the difference of the squares of two unequal lines... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...(a+i)2 =a*+2a6+62. PROP. V. THEOR. If a straight line le divided into two equal parts, andalsointo two unequal parts; the rectangle contained by the unequal...point C, and into two unequal parts in the point D ; the rectangle AD. DB, together with the square of CD, is equal to the square of CB, or AD.DB+CD2=... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...one of them. PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal...square of half the line. Let the straight line AB be bisected in C, and divided unequally in D : the rectangle AD.DB, together with the square of CD, is... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...AC-CB. PROPOSITION V. THEOREM. . If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal...square of half the line. Let the straight line AB he divided into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...two equal parts, and also into two unequal parts, the rectangle A contained by the unequal parts, I together with the square of the line between the points...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 ; and these = AD x DB... | |
 | Euclides - 1838 - 264 pages
...half the line. PROP. V THEOR. If a straight line be divided into two equal parts, and aim into two unequal 'parts ; the rectangle contained by the unequal...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, shall be equal 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. 
