 | Euclides - 1862 - 140 Seiten
...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... | |
 | University of Oxford - 1863 - 316 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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... | |
 | Euclides - 1864 - 448 Seiten
...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... | |
 | Robert Potts - 1865 - 528 Seiten
...of the squares on AC, CD. Wherefore, if a straight liue, &c. QED PROPOSITION XI. PROBLEM. To divitfe a given straight line into two parts, so that the...of the parts, shall be equal to the square on the otlier part. Let AB be the given straight line. It is required to divide AB into two parts, so that... | |
 | Euclides - 1865 - 402 Seiten
...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 - 1004 Seiten
...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 - 356 Seiten
...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... | |
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To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part. 
