| John Playfair - Euclid's Elements - 1832 - 333 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 - 114 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 - 472 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 - Geometry - 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 - 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 - 240 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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