 | Euclides - 1852 - 152 pagina’s
...These two Propositions may be omitted at the first reading.] PEOP. XL PROB. To divide a given straight line into two parts, so that the rectangle contained...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 to divide it into two parts,... | |
 | Charles Astor Bristed - 1852 - 470 pagina’s
...every triangle are equal to two right angles. 3. Divide a given straight line into two such parts, that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 4. The angle at the centre of a circle is double of the angle at the circumference,... | |
 | 1852 - 478 pagina’s
...general one ? 2. To divide a given straight line into two parts, so that the rectangle contained hy 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 approximately into how many parts... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...of AC, CD. Wherefore, if a straight line, etc. QED PROPOSITION XI. PROB. To divide a given straight line into two parts, so that the rectangle contained...and one of the parts, shall be equal to the square of the other part. Upon AB describe (46. i.) the square ABDC ; bisect (10. i.) AC in E, and join BE... | |
 | Euclides - 1853 - 146 pagina’s
...of AC, CD. Wherefore, if a straight line, &c. QED PROP. XI. — PROBLEM. To divide a given straight line into two parts, so that the rectangle contained...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 to divide it into two parts,... | |
 | Euclides - 1853 - 176 pagina’s
...С d. Wherefore, if a straight line, &c. QED PROPOSITION XI. — PROBLEM. To divide a given straigM line into two parts, so that the rectangle contained...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 to divide it into two parts,... | |
 | William Walton, Charles Frederick Mackenzie - 1854 - 266 pagina’s
...the difference of the parallelograms is equal to twice the triangle BSD. 2. 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. Produce a given straight... | |
 | Cambridge univ, exam. papers - 1854 - 284 pagina’s
...the difference of the parallelograms is equal to twice the triangle BKD. 2. 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. Produce a given straight... | |
 | William Somerville Orr - 1854 - 534 pagina’s
...the remarks at the end of this book. PROPOSITION XI.— PROBLEM. To divide a given straight line (AB) into two parts, so that the rectangle contained by the whole, and от of the parts, shall be equal to the square of the other part. From A draw AC perpendicular and... | |
 | Robert Potts - 1855 - 1050 pagina’s
...into two equal parts. Prove also that the two diameters bisect each other. 3. Divide a given straight line into two parts, so that the rectangle contained...and one of the parts, shall be equal to the square of the other part Solve the same problem algebraically, and give the geometrical interpretation of... | |
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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. 
