| Eldred John Brooksmith - 1901
...having a given area, that which has the least perimeter it isosceles. 3. 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. If the line be divided so that nine times the rectangle... | |
| Thomas Smith (D.D.) - 1902 - 227 páginas
...till Euclid gave it them, but the truths demonstrated in the propositions. tained by the whole line **and one of the parts shall be equal to the square of the other part.** As the very conception of a rectangle and a square involves a reference to parallel lines, our remark... | |
| 1902
...given, rectilineal figureand having an angle equal to a given angle. 2. Divide a given straight line **into two parts, so that the rectangle contained by the whole and** on© of the parts may bo equal to the square of the other part.- •- --- Appendix. Section HI., n.... | |
| Euclid - 1904 - 456 páginas
...equal to the square on the other part. Let AB be the given straight line. It is required to divide AB **into two parts, so that the rectangle contained by the whole and one** part may be equal to the square on the other part. Construction. On AB describe the square ACDB. I.... | |
| 1907
...the poiuts of section, is equal to the square of half the line. 4. 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. SECTION B. 5. Jf one angle of a triangle be equal to the sum... | |
| United States. Bureau of Education - 1907
...parts, together with twice the rectangle contained by (lie two parts. 8. 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 on the other part. The following is a list of the names of the Rhodes scholars... | |
| United States. Office of Education - 1907
...with twice the rectangle contained by the two parts. 8. Divide a given straight line into two parta, **so that the rectangle contained by the whole and one of the parts** may be equal to the square on the other part. The following is a list of the names of the Rhodes scholars... | |
| Association of Ontario Land Surveyors - 1907
...right angle. 5. To divide a given straight line into two parts so that the rectangle contained under **the whole and one of the parts shall be equal to the square** on the other part. 6. The sum of the perpendiculars let fall from any point within an equilateral triangle... | |
| United States. Bureau of Education - 1907
...with twice the rectangle contained by the two parts. 8. Divide a given straight line into two parte, **so that the rectangle contained by the whole and one of the** parte may be equal to the square on the other part. The following is a list of the names of the Rhodes... | |
| Euclid - 1908
...Pythagoreans. The construction of this triangle depends upon n. n, or the problem of dividing a straight line **so that the rectangle contained by the whole and one of the parts** is equal to the square on the other part. This problem of course appears again in Eucl. vi. 30 as the... | |
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