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 of the line between the points of section, is equal to the square of half the line. The English Journal of Education - Page 2721851Full view - About this book
| Sandhurst roy. military coll - 1859 - 1869 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... | |
| 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... | |
| Royal college of surgeons of England - 1860
...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,...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... | |
| John Playfair - 1860 - 317 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...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 pages
...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 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
...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 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.... | |
| Euclides - 1861
...III. 47, I. Axs. 1, 2, 3, I. 36, 1. Parlms. upon eq. bases and between the same ||s are equal. 5, II. **If a straight line be divided into two equal parts, and also into two** uneq. parts, the rcct. contained by the nneq. parts, together with the square of the line between the... | |
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