 | Robert Simson - Trigonometry - 1762 - 488 pages
...likewife fquares. PROP, BooklL PRO PV THEO R. IF a ftraight line be divided into two equal parts, and alfo into two unequal parts ; the rectangle contained by the unequal parts, together with the fquare of the line between the points of fe&ion, is equal to the fquare of half the line. Let the ftraight... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...likcwife fquares. PROP. Book II. PRO PV THEO R. Fa ftraight line be divided into two equal parts, and alfo into two unequal parts ; the rectangle contained by the unequal parts, together with the fquare of the line between the points of fection, is equal to the fquare of half the line. Let the... | |
 | John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...are likewife fquares. PROP. V. THEO R. IF a ftraight line be divided into two 'equal parts, and alfo into two unequal parts ; the rectangle contained by the unequal parts, together with the fquare of the line between the points of fection, is equal to the fquare of half the line. Let the... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...'• . c- 43. '• PROP. V. THE OR. • IF a ftraight line be divided into two equal parts, and alfo into two unequal parts ; the rectangle contained by the unequal parts, together with the fquare of the line between the points of fe&ion, is equal to the fquare of half the line. Let the ftraight... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...demonstration it is manifest that the parallelograms about the diameter of a square are likewise squares. . PROP. V. THEOR. IF a straight line be divided into...square of the line between the points of section, are equal to the square of half the line. Let the straight line AB be divided into two equal parts... | |
 | John Mason Good - 1813 - 714 pages
...equal to the squares of the two parts, together •with twice the rectangle contained by the parts. Prop. V. Theor. If a straight line be divided into...section, is equal to the square of half the line. Prop. VI. Theor. If a straight line be bisected, and produced to any point; the rectangle contained... | |
 | Charles Butler - Mathematics - 1814 - 528 pages
...product a+or.a— «•= aa — xx ; to each of these equals add xx, and a+xa — x+xx=aa, that b, the rectangle contained by the unequal parts, together with the square of (x) the line between the points of section is equal to the square of (a) half the line. QED In the... | |
 | 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
...manifest, that the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. IP a straight line be divided into two equal parts, and...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... | |
 | Mathematics - 1836 - 488 pages
...demonstration, it is manifest that the parallelograms about the diameter of a square are likewise squares. V. If a straight line be divided into two equal parts,...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... | |
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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. 
