 | Samuel H. Winter - 1877 - 452 pages
...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,... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...then i iii If AB be divided equally at C and Describe a square on CB, and proceed as in (II. 6). 7. Divide a given straight line into two parts so that the rectangle contained by them shall be the greatest possible. Use the property of last exercise, and show that the middle point is... | |
 | Edward Harri Mathews - 1879 - 94 pages
...and AC, together with twice the rectangle contained by AD and AC, are equal to the square on CD. 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. Show how a given straight... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...than a semicircle is greater than a right angle. 8. Describe a square on a given straight line. 9. 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. 10. If a straight line... | |
 | Euclides - 1879 - 146 pages
...Observe, in suggesting only : — see the note at the beginning of Book ii.] PROPOSITION XI. 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. Let AB be the given st.... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...with the square on the line between the points of section, is equal to the square on half the line. 4. 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. 5. The angle at the centre... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...double of the squares on AC, CD. Wherefore, 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 may be equal to the square on the other part. Let AB be the given straight... | |
 | Elizabethan club - 1880 - 156 pages
...isosceles triangle ABC, the difference of the squares on OA and AB is equal to the rectangle OB . OC. 6. 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. 7. If a straight line... | |
 | French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...equal and parallel straight lines towards the same parts are also themselves equal and parallel. 2. 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. 3. The opposite angles... | |
 | 1880 - 160 pages
...squares on the two parts, together with twice' *the rectangle contained by the two parts. (viii.) 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. 5. If the distances of... | |
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AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. 
