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