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. The Element of Geometry - Seite 25von John Playfair - 1836 - 114 SeitenVollansicht - Über dieses Buch
| Euclides - 1862 - 140 Seiten
...about the diagonal of a square are likewise squares. PROPOSITION 5.— THEOREM. If a straight line be divided into two equal parts, and also into two unequal...contained by the unequal parts, together with the square on the line between the points of section, ^s equal to the square on half the line. (References—... | |
| University of Oxford - 1863 - 328 Seiten
...be equal, each to each, namely those to which the equal sides are opposite. 3. If a straight line be divided into two equal parts and also into two unequal...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. 4. Bisect a given... | |
| Woolwich roy. military acad - 1864 - 588 Seiten
...under the restriction that the tvco vowels e shall never stand together 1 10. If a straight line be divided into two equal parts, and also into two unequal...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. Hence show that... | |
| Euclides - 1864 - 262 Seiten
...2am + m'. Hence by adding these equals, .'. (a + m)' + (a - m)* = 2az + 2m*. That is, If a number be divided into two equal parts, and also into two unequal parts, the sum of the squares of the two unequal parts is equal to twice the square of half the number itself,... | |
| Euclides - 1864 - 448 Seiten
...a' — m*, to each of these equals add m* ; .'. (a + m) (a — m) + m* = a'. That is, if a number be divided into two equal parts, and also into two unequal parts, the product of the unequal parts together with the square of half their difference, is equal to the square... | |
| Euclides - 1865 - 402 Seiten
...parallelograms about the diameter of a square are likewise squares. Prop. 5. If a straight line be divided into two equal parts, and also into two unequal...parts, together with the square of the line between the noinls of section, is equal to the square of half the line. Cor. The difference of the squares of two... | |
| Robert Potts - 1865 - 528 Seiten
...m*, Hence by adding these equals, .'. (a + m)t + (a — m)« = 2o* + 2m«. That is, If a number be divided into two equal parts, and also into two unequal parts, the sum of the squares of the two unequal parts, is equal to twice the square of half the number itself,... | |
| John Playfair - 1855 - 360 Seiten
...which this jine is divided be denoted by </ and b ; then, (u+4)1 PROP. V. THEOR. If a straight Itnelf divided into two equal parts, and also into two unequal...by the unequal parts, together with the square of tAt line between the points of section, is equal to the square of half the line. Let the straight line... | |
| James McDowell - 1866 - 124 Seiten
...= tan - - - 1. 1 + tan|a \4 2/ If a + ft + 7 = ^, prove that cos a + cos /3 + cos 7 If an angle be divided into two equal parts and also into two unequal parts, the rectangle of the sines of the unequal parts, together with the square of the sine of the angle between the dividing... | |
| Euclid, Isaac Todhunter - 1867 - 424 Seiten
...about the diameter of a square are likewise squares. PROPOSITION 5. THEOREM. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by iht unequal parts, together with the square on the line between the points of section, is equal to... | |
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