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
| 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... | |
| Euclid, John Playfair - Circle-squaring - 1804 - 440 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... | |
| John Playfair - Euclid's Elements - 1806 - 311 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 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
...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 - Mathematics - 1814
...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
...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... | |
| John Playfair - Circle-squaring - 1819 - 333 pages
...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 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...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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