 | Robert Simson - 1775 - 534 páginas
...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 - 1804 - 530 páginas
...'• . 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 - 1804 - 468 páginas
...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... | |
 | John Playfair - 1806 - 320 páginas
...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, and...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 páginas
...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, and...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 - 1814 - 528 páginas
...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 - 588 páginas
...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, and...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 parts... | |
 | John Playfair - 1819 - 354 páginas
...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, and...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 parts... | |
 | John Mason Good - 1819 - 800 páginas
...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... | |
 | John Playfair - 1819 - 350 páginas
...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, and also into two uneqtial parts ; the rectangle contained by the unequal parts, together with the square of the line... | |
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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. 
