| Euclides - 1858 - 136 páginas
...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... | |
| Sandhurst roy. military coll - 1859 - 672 páginas
...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... | |
| 1859 - 412 páginas
...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... | |
| John Playfair - 1860 - 334 páginas
...is divided be denoted by a and l; then, (a+6) 1 =o 2 +2a6+6 2 . PROP. V. THEOR. If a straight linele **divided into two equal parts, and also into two unequal...the square of half the line. Let the straight line** AB be divided into two equal parts in the point C, and into two unequal parts in the point D ; the... | |
| Royal college of surgeons of England - 1860 - 336 páginas
...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 páginas
...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 - 1860 - 472 páginas
...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 - 1860 - 380 páginas
...= <*'— 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 páginas
...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... | |
| Alexander Hadden Hutchinson - 1861 - 128 páginas
...described upon the sides which 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.... | |
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