| War office - 1861 - 12 pages
...angles. Enunciate the propositions required in the proof. 3. To divide a straight line into two parte **so that the rectangle contained by the whole and one of the parts** may be equal to the square on the other part. 4. If a straight line touch a circle and from the point... | |
| Euclides - 1862
...straight line, &c. QED PROP. XI.— PROBLEM. To divide a given straight line into two parts, so that tlie **rectangle contained by the whole and one of the parts shall be equal to the square of the other part.** (References— Prop. i. 3, 10, 46, 47 ; Ii. 6.) Let AB be the given straight line. It is required to... | |
| Alfred Wrigley - Mathematics - 1862 - 294 pages
...chord joining the points of contact, and the diameter drawn from one of these points. 71. 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 a given line, which is less than the line to be divided. 72. To draw... | |
| Euclides - 1862
...line into two parts, so that the rectangle contained by them may be the greatest possible. 2. Divide **a given straight line into two parts, so that the rectangle contained by** them may be equal to a given square. 3. Produce a given straight line, so that the rectangle contained... | |
| University of Oxford - Education, Higher - 1863
...Parallelograms upon the same base and between the same parallels are equal to one another. 7. Divide a **straight line into two parts, so that the rectangle contained by the whole and one** part may be equal to the square on the other part. 8. The three interior angles of every triangle are... | |
| Henry White - 1864
...to the squares of the two parts, together with twice the rectangle contained by the parts. 5. Divide **a given straight line into two parts, so that the...parts shall be equal to the square of the other part.** 6. Draw a straight line from a given point, either without or in the circumference, which shall touch... | |
| Woolwich roy. military acad - 1864
...-0378642. (2) To find the amount of ll. in 37 years at 4^ per cent, per annum compound interest. 11. Divide **a given straight line into two parts, so that the...and one of the parts shall be equal to the square** on the other part. State the purpose of a proposition in the fourth book where this problem is required.... | |
| Euclides - 1864
...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 straight line. It is required to divide** AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be... | |
| Euclides - 1864
...PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle cnntnined **by the whole and one of the parts, shall be equal to the square** oii the other part. Let AB be the given straight line. It is required to divide AB into two parts,... | |
| Bedford College - 1888
...LEE. 1. Prove that the perpendicular bisectors of the sides of a triangle meet at a point. 2. Divide a **straight line into two parts, so that the rectangle contained by the whole and one** part shall be equal to the square on the other part. 3. Describe a circle to pass through three given... | |
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