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 - Seite 25von John Playfair - 1836 - 114 SeitenVollansicht - Über dieses Buch
| Robert Simson - 1762 - 466 Seiten
...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 - 1775 - 520 Seiten
...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
...'• . 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 - 1804 - 470 Seiten
...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 Seiten
...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 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 - 722 Seiten
...together •with twice the rectangle contained by the parts. Prop. V. Theor. 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.** Prop. VI. Theor. If a straight line be bisected, and produced to any point; the rectangle contained... | |
| Charles Butler - 1814 - 528 Seiten
...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 Seiten
...parallelograms about the diameterof a square are likewise squares. PROP. V. THEOR. IF a straight line be **divided into two equal parts, and also into two unequal...line. Let the straight line AB be divided into two** e qual parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together... | |
| Euclid, John Playfair - 1819 - 348 Seiten
...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,...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 - 1819 - 317 Seiten
...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...half the line. Let the straight line AB be divided** into%two equal parts in the point C, and into two unequal parts in the point D ; the rectangle AD.DB,... | |
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