 | Euclides, James Hamblin Smith - 1876 - 376 σελίδες
...line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. L. Let the st. line AB be bisected in C and produced to D. Then must rect.... | |
 | Henry Major - 1876 - 784 σελίδες
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 2. Given a straight line divided as in proposition 11 ; prove that the... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 σελίδες
...line thus produced and the part of it produced, together with the square on half the line bisected, M equal to the square on the straight line which is made up of the half and the part produced. At Let the st. line AB be bisected in C and produced to D. Then must rect.... | |
 | Edward Atkins - 1876 - 130 σελίδες
...line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the, square on the straight line which is made up cftiie half and the part produced. Let the straight line AB be bisected in C, and produced to D ; AD-DB... | |
 | Association for the improvement of geometrical teaching - 1876 - 66 σελίδες
...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.... | |
 | Richard Wormell - 1876 - 268 σελίδες
...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... | |
 | Robert Potts - 1876 - 446 σελίδες
...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.)... | |
 | Samuel H. Winter - 1877 - 452 σελίδες
...whole line thus produced, and the part produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 5. The angle at the centre of a circle is double of the angle at the circumference... | |
 | D. Tierney - 1877 - 126 σελίδες
...line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 5. The angle at the centre of a circle is double of the angle at the circumference... | |
 | Euclides - 1878 - 398 σελίδες
...and from. (? to D, shew that BGD is a straight line. PROPOSITION VIII. 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 vrith the square on the other part, is equal to the square on the straight line which is made up of... | |
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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 of the other part, is equal to the square of the straight line which is made up of the whole and that... 
