AB be the given straight line ; it is required to divide it 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. Introduction and books 1,2 - Page 402by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Her MAjesty' Inspectors of schools - 1850
...figures, and duplicate ratio. 3. Solve Euc. II. 11. To divide a given finite straight line into two part*, **so that the rectangle contained by the whole and one of the** parts may be equal to the square of the other jjart. '2. Prove Kuc. 1. 36. Parallelograms upon equal... | |
| Great Britain. Privy Council. Committee on Education - Education - 1850
...equal to one another. 3. Solve Euc. II. 11. To divide a given finite straight line into two parts, **so that the rectangle contained by the whole and one of the** parts may be equal to the squire of the other part. 4. Prove Euc. III. 22. The opposite angles of any... | |
| FRANCIS J. JAMESON - 1851
...4AF2, = 4BC2 + AB2 + AC2, = 4BC2 + BC2, - 5BC8. 1849. (A). 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. (ii. 11.) (B). Shew that in Euclid's figure,... | |
| Harvey Goodwin - Mathematics - 1851 - 173 pages
...equations, or any demonstration other than Euclid's ? 3. 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. Shew that in Euclid's figure four other lines,... | |
| Bengal council of educ - History - 1852
...proposition included in any more general one ? (2.) 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. Can this be solved arithmetically ? if so, find... | |
| Euclides - 1852
...may be omitted at the first reading.] PEOP. XL PROB. 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. Let AB be the given straight line ; it is required... | |
| Euclides - 1853
...of the other part. LET ab be the given straight line ; it is required to divide it 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. Upon ab describe (i. 46) the square abdС; bisect... | |
| Euclides - 1853
...of the other part. Let AB be the given straight line ; it is required to divide it 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. Upon AB describe (1. 46.) the square ABDC ;... | |
| Robert Potts - 1855
...Prove also that the two diameters bisect each other. 3. 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 Solve the same problem algebraically, and give... | |
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