| Euclides - 1874
...this proposition may be thus stated, and prove that the equation is true. 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. 1. Let AB be the given... | |
| Braithwaite Arnett - 1874
...angles. 2. Parallelograms -on equal bases, and between the same parallels, are equal to one another. 3. **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. If on the larger of the... | |
| Edward Atkins - 1874
...of the squares on AC and CD. Therefore, 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 shall be equal to the square on the other part. Let AB be the given... | |
| Education Department,London - 1876
...described will be equal to the sum of all the others so described with twice the original square. 3. 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. If the constructed figure... | |
| University of Madras - 1876
...of an isosceles triangle is less than that of any other equal triangle upon the same base. III. 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. IV. (a) If from any... | |
| Robert Potts - 1876 - 403 páginas
...sum of their squares will be equal to the sum of the squares of the segments of the diameter. 5. 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. Solve the problem algebraically.... | |
| Henry Major - 1876
...equal to the squares on the two parts, together with twice the rectangle contained by the parts. 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 on the other part. 3. If the diagonals... | |
| Edward Atkins - 1876 - 119 páginas
...of the squares on AC and CD. Therefore, 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 shall be equal to the square on the other part. Let AB be the given... | |
| D. Tierney - 1877
...cannot touch another on the inside in more points than one. Euclid, Book in., Prop. 13. 3. Divide a **straight line into two parts, so that the rectangle contained by them may** equal the square of the difference. Let AB (fig. 19) be the given straight line; upon it describe a... | |
| Samuel H. Winter - 1877 - 413 páginas
...and prove that cos -' — 1 + n2 also that vers A_a (a + c — 6) vers B b (b + ca)' LIIL 1. Divide a **straight line into two parts, so that the rectangle contained by them may** equal the square of the difference. 2. Describe a circle — (1.) Passing through three given points,... | |
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