| Euclides - 1858 - 248 pages
...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... | |
| 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...points of 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... | |
| 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...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
...shall be equal to a 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,...points of 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... | |
| John Playfair - Geometry - 1860 - 334 pages
...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...points of 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... | |
| Euclides - 1860 - 288 pages
...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 - Geometry - 1860 - 470 pages
...equivalent to the equation AD x DŁ-\- 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 - Geometry, Plane - 1860 - 380 pages
...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 - 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...points 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... | |
| Alexander Hadden Hutchinson - 1861 - 128 pages
...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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