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. The Element of Geometry - Page 25by John Playfair - 1836 - 114 pagesFull view - About this book
| John Mason Good - 1819 - 800 pages
...parts, and also into two um quäl parts j the rectangle contained by the unequal parts, togotherVrith the square of the line between the points of section, is equal to the square of half the line. Prop. VI. Theor. If a straight line be bisected, and produned to any point; the rectangle contained... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. IP a straight line be divided into two equal parts, and also into two unequal...section, is equal to the square of half the line. i H M Let the straight line AB be divided into two equal parts in the point C, and into two unequal... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...parallelograms about the diameter of a square are likewise squares. •f PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts ; the reetangle eontained by the unequal parts, together with the square of the line between the points of... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parls, and also into two unequal parts; the rectangle contained...equal parts in the 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,... | |
| John Playfair - Euclid's Elements - 1833 - 346 pages
...parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal...equal parts in the 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,... | |
| John Playfair - Euclid's Elements - 1836 - 488 pages
...parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two 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
...that the parallelograms about the diameter of a square are likewise squares. V. If a straight line be divided into two equal parts, and also into two 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...equal parts in the 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,... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...rectangle of the parts is equal to the square of one of them. PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into two 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
...the squares of AC, CB, and twice the rectangle AC-CB. PROPOSITION V. THEOREM. . If a straight line be divided into two equal parts, and also into two 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... | |
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