| Euclides - 1862
...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... | |
| 1864
...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,... | |
| 1864
...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;... | |
| Robert Potts - 1864
...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... | |
| Robert Potts - 1864
...double of the squares on AC, CD. Wherefore, if a straight line, &c. QED PROPOSITION XI. PROBLEM. To **divide a given straight line into two parts, so that the rectangle** cnntnined by the whole and one of the parts, shall be equal to the square oii the other part. Let AB... | |
| Alexander Kennedy Isbister - 1865
...angle and the perpendicular let fall upon it from the opposite angle s. . . n. 13. Problems. 1. To **divide a given straight line into two parts, so that the rectangle** under the whole and one of the parts is equal to the square on the other part . . . . . . n. 11. 2.... | |
| New Brunswick. Board of Education - 1889
...the other two sides of it, prove that the angle contained by these two sides is a right angle. -">. **Divide a given straight line into two parts, so that...contained by the whole and one of the parts shall** !«• i-qual to the square of the other part. Female Candidates for Class I will omit the 1st and... | |
| E. J. Brooksmith - 1889
...are 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... | |
| Euclid - 1890 - 400 Seiten
...each side, we get sq. on AX + sq. on BX = 2 (sq. on AM + sq. on MX). 95 Proposition 11. PROBLEM — To **divide a given 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. Let AB be the given st. line. On AB describe the... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 Seiten
...of the complements, show that the complement is equal to half the other parallelogram. Ex. 652. — **Divide a given straight line into two parts so that the rectangle contained by the whole and one** part may be equal to the rectangle contained by the other part and a given finite straight line. Ex.... | |
| |