| 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... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...paralJelograms 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...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 at the point D ; the... | |
| John Playfair - Euclid's Elements - 1806 - 320 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...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 - 554 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...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 at the point D; the... | |
| John Mason Good - 1813 - 722 pages
...parts, 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...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 - 588 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...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 at the point D ; the... | |
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