 | Euclides - 1855 - 270 pages
...into turn equal parts, and also into two unequal part'; the rectangle contained by the unequal parta, together with the square of the line between the points of section (or division), is equal to the square of half the line. Let the straight line AB be divided into two... | |
 | Euclides - 1856 - 168 pages
...likewise squares. L. — EUCLID II. 5. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal...square of half the line. Let the straight line AB (Fig. 40) be divided into two equal parts at the point C, and into two unequal parts at the point D;... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...this a determinate problem? 6. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal...section, is equal to the square of half the line. Prove this proposition algebraically. 6. Find the centre of a given circle. Shew that if in a circle... | |
 | 1857 - 408 pages
...If a straight line be divided into two equal parts, and also into two unequal parts, the reptangle contained by the unequal parts, together with the...section, is equal to the square of half the line. 6. To describe a square that shall be equal to a given rectilineal figure. 7. If a point be taken within... | |
 | Euclides - 1858 - 136 pages
...IV. HOOK II. 89 PüOP. V. THEOB. If a st. line be divided into two equal parts, and also into ttco unequal parts, the rectangle contained by the unequal...section, is equal to the square of half the line. CUN. 10. 1, Pst 1. 31. I. DEM. 43. I. Лх. 2 :il¡. I. Ax. 1. Def. 30. I. Cor. 4. II, 34. I. KXP.... | |
 | War office - 1858 - 578 pages
...the original cost? Euclid. 1. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal...of section is equal to the square of half the line. 2. Equal straight lines in a circle are equally distant from the centre ; and those which are equally... | |
 | Euclides - 1858 - 248 pages
...st. line. Pst. 1. DEM. — 5. II. If a st. line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal...the square of the line between the points of section equals the square of half the line. Def. 15 and 16. A circle is a plane figure contained by one line... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...the expenditure of each. Euclid. 1. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal...section, is equal to the square of half the line. 2. Describe a square equal to a given rectilineal figure. Give a construction for determining a square... | |
 | Education - 1859 - 414 pages
...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 pages
...a given 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...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... | |
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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. 
