 | Cambridge univ, exam. papers - 1856 - 252 pages
...angle. Is 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...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... | |
 | War office - 1858 - 578 pages
...what was 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...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 - 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.... | |
 | Euclides - 1858 - 248 pages
...given finite 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 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
...and what 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...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
...equal to 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...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... | |
 | Euclides - 1860 - 288 pages
...squares. 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... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 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... | |
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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. 
