 | 1859 - 414 pagine
...into two equal parts and also into two unequal parts, the rectangle contained by the unequal paits, together with the square of the line between the points...section, is equal to the square of half the line. 10. Divide a straight line into two parts, so that the rectangle contained by the whole and one of... | |
 | Royal college of surgeons of England - 1860 - 332 pagine
...rectilineal angle. 8. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts,...section, is equal to the square of half the line. 9. Describe a square that shall be equal to a given rectilineal fignre. 10. What does Euclid mean by... | |
 | Horatio Nelson Robinson - 1860 - 470 pagine
...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... | |
 | Robert Potts - 1860 - 380 pagine
...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... | |
 | Euclides - 1860 - 288 pagine
...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... | |
 | War office - 1861 - 260 pagine
...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...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 - 128 pagine
...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 pagine
...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 pagine
...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 - 1863 - 316 pagine
...sides are opposite. 3. 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. 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. 
