 | 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... | |
| |
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 of the line between the points of section, is equal to the square of half the line. 
