 | Euclides - 1860 - 288 pages
...PROPOSITION V. THEOREM. -;I| 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. Given the straight... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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 line between the points of section, it equal to the square on half the line, Let the straight... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 472 pages
...be divided into two equal parts, and also into 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 to the square on one half the line. Let AB be a line bisected in C, and... | |
 | War office - 1861 - 260 pages
...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 by the unequal...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 - Military art and science - 1861 - 128 pages
...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 - 1862 - 172 pages
...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...section, is equal to the square of half the line. (References — Prop. i. 31, 34, 36, 43, 46; n. 4, Cor.) Let the straight line AB be divided into two... | |
 | Euclides - 1862 - 140 pages
...squares. PROPOSITION 5.— THEOREM. 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, ^s equal to the square on half the line. (References—... | |
 | University of Oxford - Education, Higher - 1863 - 328 pages
...a given rectilineal angle. 7. 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. 8. If a straight... | |
 | Euclides - 1864 - 448 pages
...squares. PROPOSITION V. THEOREM. 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. Let the straight... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...shall never stand together 1 10. 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. Hence show that... | |
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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. 
