| War office - 1861 - 260 pages
...No. II. REV. WN GRIFFIN, MA 1. Any two sides of a triangle are together greater than the third. 2. **To divide a given straight line into two parts so...parts shall be equal to the square on the other part.** If the given line be a foot long, compute the lengths of the parts to the nearest hundredth part of... | |
| War office - 1861 - 714 pages
...angles. Enunciate the propositions required in the proof. 3. To divide a straight line into two parte **so that the rectangle contained by the whole and one of the parts** may be equal to the square on the other part. 4. If a straight line touch a circle and from the point... | |
| Alfred Wrigley - Mathematics - 1862 - 330 pages
...contained by the chord joining the points of contact, and the diameter drawn from one of these points. 71. **To divide a given straight line into two parts, so...rectangle contained by the whole and one of the parts** may be equal to the square of a given line, which is less than the line to be divided. 72. To draw... | |
| Euclides - 1862 - 140 pages
...straight line into two parts, so that the rectangle contained by them may be the greatest possible. 2. **Divide a given straight line into two parts, so that the rectangle contained by** them may be equal to a given square. 3. Produce a given straight line, so that the rectangle contained... | |
| Euclides - 1862 - 172 pages
...of AD, DB, are double of the squares of AC, CD. Wherefore, if a straight line, &c. QED PROP. XI.— **PROBLEM. To divide a given straight line into two parts, so that** tlie rectangle contained by the whole and one of the parts shall be equal to the square of the other... | |
| University of Oxford - Education, Higher - 1863 - 316 pages
...Parallelograms upon the same base and between the same parallels are equal to one another. 7. Divide a **straight line into two parts, so that the rectangle contained by the whole and one** part may be equal to the square on the other part. 8. The three interior angles of every triangle are... | |
| Henry White - 1864 - 156 pages
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 5. **Divide a given straight line into two parts, so that...and one of the parts shall be equal to the square** of the other part. 6. Draw a straight line from a given point, either without or in the circumference,... | |
| Woolwich roy. military acad - 1864 - 588 pages
...one of the angles of an equilateral triangle. 8. Draw a straight line 2'76 inches long, and divide it **into two parts, so that the rectangle contained by...and one of the parts shall be equal to the square** of the other part. FREE-HAND DRAWING. REV. W. KINGSLBY, BD [NB — The Drawing must be entirely Free-hand;... | |
| Euclides - 1864 - 262 pages
...line. It is required to divide AB into two parts, so that the rectangle contained by the whole line **and one of the parts, shall be equal to the square on the other part.** FG OKD Upon AB describe the square A CDB; (l. 46.) bisect AC in E, (l. 10) and join BE, produce CA... | |
| E. J. Brooksmith - Mathematics - 1889 - 356 pages
...points in a straight line, taken in order, prove that the rectangle AC . BD = AB . CD + BC . AD. 4. **Divide a given straight line into two parts, so that the rectangle contained by the whole** line and one of the parts shall be equal to the square of the other part. 5. Equal straight lines in... | |
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