 | John Playfair - 1819 - 354 ページ
...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,...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 parts... | |
 | John Mason Good - 1819 - 800 ページ
...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... | |
 | John Playfair - 1819 - 350 ページ
...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 - 1821 - 514 ページ
...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...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 - 1825 - 1046 ページ
...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,...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 parts... | |
 | Euclid, John Playfair - 1826 - 326 ページ
...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 - 1827 - 546 ページ
...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...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 parts... | |
 | John Playfair - 1832 - 358 ページ
...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...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 parts... | |
 | Euclid - 1835 - 540 ページ
...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,...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 parts... | |
 | 1836 - 488 ページ
...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,...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 lines... | |
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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. 
