 | Euclides - 1874 - 342 sider
...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 equal to the square on the other part. Construction. Upon AB describe the square ACDB (I.... | |
 | Francis Cuthbertson - 1874 - 400 sider
...rectangle BP, PQ + rectangle BP, QC. Hence, if a straight line be divided into any number of parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangles contained by that part and the other... | |
 | Edward Atkins - 1874 - 426 sider
...line, &c. QED Proposition 8. — Theorem. If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 sider
...PROP. VIII.— THEOREM. (Euc. II. 8.) If a straight line be divided into any two ^mrts, four limes the rectangle contained by the whole line, and one of the parts, together with the square on the other part, is equal to the square on the straight line which in made... | |
 | Euclides - 1874 - 120 sider
...represented in symbols, PROPOSITION 8. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained- by the whole line and one of the parts together with the square on the other part, is equal to the square on the straight line which is made... | |
 | Robert Potts - 1876 - 446 sider
...an the other part. Let AB\vt 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 equal to the square on the other part FO CK 1) Upon AB describe the square A CDB ; (I. 46.)... | |
 | Richard Wormell - 1876 - 268 sider
...LXXIII., AB:BC = AD:DE. PROBLEM XX. To divide a straight line in extreme mean ratio — that is to say, so that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. Let AB be the straight line. Construct the square ABDE... | |
 | Association for the improvement of geometrical teaching - 1876 - 66 sider
...several parts into which the other is divided. COR. T. If a straight line is divided into two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts. COR. 2.... | |
 | Edward Atkins - 1876 - 130 sider
...&c. Q. E, D. Proposition 8. — Theorem. If a straight line be divided into any two parts, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 sider
...B.—Geometry. 27. Show how to divide a given straight line into two parts, such that the rectangle under the whole line and one of the parts may be equal to the square on the other part. Given, a straight line AB, show how to produce it to C, so that the rectangle... | |
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Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... 
