 | 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... | |
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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. 
