| John Playfair - 1860 - 317 sider
...is divided be denoted by a and l; then, (a+6) 1 =o 2 +2a6+6 2 . PROP. V. THEOR. If a straight linele **divided into two equal parts, and also into two unequal...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... | |
| Euclides - 1860
...parallelograms about the diagonal of a square are likewise squares. PROPOSITION V. THEOREM. -;I| If **a straight line be divided into two equal parts, and...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. Given the straight... | |
| Horatio Nelson Robinson - 1860 - 453 sider
...to the equation AD x D£-\- CB*= CD , which i* the algehraic proof of the theorem. THEOREM XLV. If **a straight line be divided into two equal parts, and...two unequal parts, the rectangle contained by the** two unequal parts together with the square of the line between the points of division, will be equivalent... | |
| Robert Potts - 1860 - 361 sider
...parallelograms about the diameter of a square, are 1 i ke wise squares. PROPOSITION V. THEOREM. If **a straight line be divided into two equal parts, and also into** tteo unequal parts ; the rectangle contained by the unequal parts, together with the square on the... | |
| War office - 1861
...between the same parallels are equal to one another. 2. If a straight line be divided into two equal **and also into two unequal parts, the rectangle contained...of section is equal to the square of half the line.** State and explain Euclid's corollary to this proposition. 3. The angles in the same segment of a circle... | |
| Alexander Hadden Hutchinson - 1861 - 100 sider
...described upon the sides which contain the right angle. 2. If a straight line be divided into two equal **and also into two unequal parts, the rectangle contained by the unequal parts together with the square** cf the line between the points of section is equal to the square of half the line. VOLUNTARY PORTION.... | |
| Euclides - 1861
...47, I. Axs. 1, 2, 3, I. 36, 1. Parlms. upon eq. bases and between the same ||s are equal. 5, II. If **a straight line be divided into two equal parts, and also into two** uneq. parts, the rcct. contained by the nneq. parts, together with the square of the line between the... | |
| Euclides - 1862
...the parallelograms about the diagonal of a square are likewise squares. PROPOSITION 5.— THEOREM. If **a straight line be divided into two equal parts, and...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—... | |
| Euclides - 1862
...that the parallelograms about the diameter of a square are likewise squares. PROP. V.— THEOREM. //' **a straight line be divided into two equal parts, and also into two unequal parts** ; then the rectangle contained by the unequal parts, together with the square of the line between the... | |
| University of Oxford - 1863
...other angles shall 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...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... | |
| |