 | Robert Simson - Trigonometry - 1762 - 466 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 - 520 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... | |
 | Robert Simson - Trigonometry - 1804
...'• . 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 - Euclid's Elements - 1804 - 470 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 - 1806 - 518 pages
...manifest, that the paralJelograms about the diameter of a square are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts,...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 two unequal... | |
 | John Playfair - Euclid's Elements - 1806 - 320 pages
...manifest that the parallelograms about the diameter of a square are likewise squares. . PROP. V. THEOR. IF a straight line be divided into two equal parts,...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... | |
 | Euclid - Geometry - 1810 - 518 pages
...square are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, aid also into two unequal parts ; the rectangle contained...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 two unequal... | |
 | John Mason Good - 1813 - 722 pages
...squares of the two parts, together •with twice the rectangle contained by the parts. Prop. V. Theor. If a straight line be divided into two equal parts,...points of 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... | |
 | Euclides - 1816 - 528 pages
...manifest, that the parallelograms about the diameterof a square are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts,...points of section, is equal to the square of half the line. Let the straight line AB be divided into two e qual parts in the point C, and into two unequal... | |
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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. 
