 | War office - 1858 - 578 pages
...18 per cent, on what the horse cost him ; what was the original cost? Euclid. 1. If a straight line be divided into two equal parts, and also into two...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
...1. Conc. l ¡î.'1'ЯP. AIij. ,f AriIh. Hyp. Л l,l. РВОР. IX. PROP. IX. TUEUR. //' a st. line be divided into two equal parts, and also into two unequal parts, the squares of the two unequal parts are together double of the square of the half line and of the square... | |
 | Euclides - 1858 - 248 pages
...various operations connected with the extraction of the Square root. PROP. 9. — THEOR. If a st. line be divided into two equal parts, and also into two unequal parts, the squares of the two unequal parts are together double of the square of the half line and of the square... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...income, 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...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
...triangle. 8. Bisect a parallelogram by a line drawn through a given point within the figure. 9. If a line be divided 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 of section, is equal to the square of... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...given triangle, and have one of its angles equal to a given rectilineal angle. 8. If a straight line be divided into two equal parts, and also into two...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
...about the diagonal of a square are likewise squares. PROPOSITION V. THEOREM. -;I| If a straight line be divided into two equal parts, and also into two...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
...AD x D£-\- CB*= CD , which i* the algehraic proof of the theorem. THEOREM XLV. If a straight line 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...= <*'— m', to each of these equals add m' ; .'. (a + m) (a — m) + m' = a'. That is, if a number be divided into two equal parts, and also into two unequal parts, the product of the unequal parts together with the square 1 of half their difference, is equal to the square... | |
 | War office - 1861 - 260 pages
...between the 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...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... | |
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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. 
