 | War office - 1861 - 714 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 - 172 pages
...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 - 330 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 - 140 pages
...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 - 316 pages
...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 - 156 pages
...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 - 588 pages
...-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 - 262 pages
...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 - 448 pages
...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 - 240 pages
...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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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. 
