 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.  Science Examination Papers - Page 46by Great Britain. Education Department. Department of Science and Art - 1908Full view - About this book
 | University of Oxford - Greek language - 1879 - 414 pages
...than a semicircle is greater than a right angle. 8. Describe a square on a given straight line. 9. 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. 10. If a... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...then i iii If AB be divided equally at C and Describe a square on CB, and proceed as in (II. 6). 7. Divide a given straight line into two parts so that the rectangle contained by them shall be the greatest possible. Use the property of last exercise, and show that... | |
 | French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...equal and parallel straight lines towards the same parts are also themselves equal and parallel. 2. 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 on the other part. 3. The opposite... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...are double of the squares on AC, CD. Wherefore, if a straight line &c. QED PROPOSITION 11. PROBLEM. 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 on the other part. Let AB be... | |
 | 1880 - 160 pages
...the squares on the two parts, together with twice' *the rectangle contained by the two parts. (viii.) 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 on the other part. 5. If the... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...with the square on the line between the points of section, is equal to the square on half the line. 4. 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. 5. The angle... | |
 | Elizabethan club - 1880 - 156 pages
...isosceles triangle ABC, the difference of the squares on OA and AB is equal to the rectangle OB . OC. 6. Divide a given straight line into two parts. so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. 7. If a... | |
 | Institution of Surveyors (Great Britain). - Surveying - 514 pages
...with the square of the line between the points of section, is equal to the square of half the line. 8. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 9. If in... | |
 | Royal Institution of Chartered Surveyors - Agriculture - 1881 - 532 pages
...with the square of the line between the points of section, is equal to the square of half the line. 8. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 9. If in... | |
 | Marianne Nops - 1882 - 278 pages
...the point required. The proof is obvious from the analysis. SUMMARY OF PROPOSITION XI., PROBLEM 1. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Cons. —... | |
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