| Euclid, John Playfair - 1846 - 332 sider
...equal to the square 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 (46. 1.) the square ABDC ; bisect... | |
| Euclides - 1846 - 292 sider
...equal to the square 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 the square ACDB ; bisect AC in E,... | |
| Great Britain. Committee on Education - 1847 - 606 sider
...the angle contained by these two sides is a right angle. SECTION II. 1. To divide a straight line, **so that the rectangle contained by the whole and one of the parts** shall be equal to the square of the other part. 2. In every triangle the square of the side subtending... | |
| 1847 - 508 sider
...angle contained by these two sides is a light angle. SECTION Il. — 1. To divide a straight line, **so that the rectangle contained by the whole and one of the parts** shall be equal to the square of the other part. 2. In every triangle the square of the side subtending... | |
| J. Goodall, W. Hammond - 1848 - 388 sider
...intercepted without the triangle between the perpendicular and the obtuse angle. Section 4. 1. 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. 2. Describe a square that shall be double a given triangle.... | |
| Euclid - 1848 - 52 sider
...square of the line made up of the half and the part produced. PROP. XI. PROBLEM. 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. PROP. XII. THEOREM. In obtuse-angled triangles, if... | |
| Euclid, Thomas Tate - 1849 - 120 sider
...Wherefore, if a straight line, &c. QED Again, because EG F is EF PROP. XI. PROB. To divide a given **straight line into two parts, so that the -rectangle contained by the whole, and one of the parts,** shall Tie equal to the square of the other part. Let AB be the given straight line; it is required... | |
| University of Cambridge - 1849 - 560 sider
...homogeneity of algebraical 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, beside... | |
| Great Britain. Committee on Education - 1850 - 914 sider
...between the same parallels, are equal to one another. 3. Solve Euc. II. 11. To divide a given finite **straight line into two parts, so that the rectangle...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 quadrilateral figure inscribed... | |
| Her MAjesty' Inspectors of schools - 1850 - 912 sider
...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 bases, and between the same parallels,... | |
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