| John Playfair - 1819 - 317 pages
...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...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. Let the straight... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 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, together with the square** of the line between the points of section, is equal to the square of half the line. Let the straight... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...parallelograms about the diameter of a square, are likewise squares. Proposition V. Tlieorem. If a straight **line be divided into two equal parts, and also into...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. Let the straight... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...parallelograms about the diameter of a square are likewise squares. •f PROP. V. THEOR. If a straight **line be divided into two equal parts, and also into two unequal parts ; the** reetangle eontained by the unequal parts, together with the square of the line between the points of... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...that 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...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. Let the straight... | |
| John Playfair - Euclid's Elements - 1832 - 333 pages
...a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parls, **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. Let the straight... | |
| Euclid - 1835 - 540 pages
...are likewise squares. e6. I. f34. I. 8 ^ '• a 46. 1. b31. 1. c 43. 1. PROP. V. THEOR. If a straight **line be divided into two equal parts, and also into...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. Let the straight... | |
| Mathematics - 1836 - 472 pages
...manifest that the parallelograms about the diameter of a square are likewise squares. V. If a straight **line be divided into two equal parts, and also into...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. COR. From this... | |
| John Playfair - Geometry - 1836 - 114 pages
...about the diagonal of a square are likewise squares. / G H / CPROP. XXI. THEOR. If a straight line lie **divided into two equal parts, and also into two unequal...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. Let the straight... | |
| Euclid - Geometry - 1837 - 410 pages
...bisected, the rectangle of the parts is equal to the square of one of them. PROP. V. THEOR. IF a straight **line be divided into two equal parts, and also into...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. Let the straight... | |
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