 | War office - 1861 - 260 pagina’s
...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 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. State and explain... | |
 | Euclides - 1862 - 140 pagina’s
...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...square on the line between the points of section, ^s equal to the square on half the line. (References— Prop. I. 31, 34, 36, 43, 46; II. 4, cor.) Hypothesis.... | |
 | Euclides - 1862 - 172 pagina’s
...two unequal parts ; then 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. (References — Prop. i. 31, 34, 36, 43, 46; n. 4, Cor.) Let the straight line AB... | |
 | University of Oxford - 1863 - 316 pagina’s
...several parts of the divided line. 8 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. 9. Divide a given... | |
 | Woolwich roy. military acad - 1864 - 588 pagina’s
...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...of section is equal to the square on half the line. Hence show that a square is the greatest rectangle of given perimeter. 11. Describe a circle about... | |
 | Euclides - 1864 - 448 pagina’s
...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...section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... | |
 | Euclides - 1864 - 262 pagina’s
...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...section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... | |
 | Robert Potts - 1865 - 528 pagina’s
...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...section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... | |
 | Euclides - 1865 - 402 pagina’s
...square are likewise squares. Prop. 5. 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 noinls of section, is equal to the square of half the line. Cor. The difference... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pagina’s
...line 1ie divided into two equal parts and also into two unequal parts, the rectangle contained l)y the unequal parts, together with the square on the...section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts at the point C, and into two unequal parts... | |
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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. 
