| Euclides - 1858
...to 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... | |
| Euclides - 1858
...Лx. 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 - 1869 sider
...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
...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...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 - 317 sider
...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...section, is equal to 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... | |
| Euclides - 1860
...the parallelograms about the diagonal of a square are likewise squares. PROPOSITION V. THEOREM. -;I| **If a straight line be divided into two equal parts,...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 - 453 sider
...equivalent to the equation 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,...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 - 361 sider
...the parallelograms about the diameter of a square, are 1 i ke wise squares. 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... | |
| War office - 1861
...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 - 100 sider
...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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