 | War office - 1861 - 714 páginas
...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 - 1862 - 330 páginas
...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 - 172 páginas
...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 part. (References— Prop. i. 3, 10, 46, 47 ; Ii. 6.) Let AB be the given straight line.... | |
 | Euclides - 1862 - 140 páginas
...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 páginas
...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 páginas
...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 páginas
...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 páginas
...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 páginas
...are 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... | |
 | E. J. Brooksmith - 1889 - 356 páginas
...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... | |
| |
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. 
