| Henry Major
...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 - 349 sider
...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 - 119 sider
...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... | |
| 1876
...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
...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 - 403 sider
...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
...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
...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
...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... | |
| William Parsons Warburton - 1878
...line thus produced, and the part of it produced, together with the square of half the line bisected, **is equal to the square on the straight line which is made up of the** half and the part produced. ANSWER. — Enunciation. (\.) Let the straight line AB, be bisected in... | |
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