| John Playfair - 1819 - 317 pages
...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,...points of 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... | |
| John Mason Good - 1819 - 740 pages
...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... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...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... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...manifest, that the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. IP **a straight line be divided into two equal parts, and...points of section, is equal to the square of half the** line. i H M Let the straight line AB be divided into two equal parts in the point C, and into two unequal... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...that the parallelograms about the diameter of a square, are likewise squares. Proposition V. Tlieorem. **If a straight line be divided into two equal parts,...points of 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... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...manifest that the 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
...manifest, that parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. **If a straight line be divided into two equal parts...points of 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... | |
| 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...points of 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... | |
| Euclid - 1835 - 540 pages
...of a square 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,...points of 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... | |
| Mathematics - 1836 - 472 pages
...demonstration, it is manifest that the parallelograms about the diameter of a square are likewise squares. V. **If a straight line be divided into two equal parts,...points of section, is equal to the square of half the** line. COR. From this proposition it is manifest, that the difference of the squares of two unequal... | |
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