| Oxford univ, local exams - 1885
...other side of the base shall be equal to one another. 4. If a straight line be divided into any two **parts, the rectangles contained by the whole and each of the parts are together equal to the square** on the whole line. 5. If a straight line falling on two other straight lines make the alternate angles... | |
| Richard Anthony Proctor - 1887 - 180 sider
...BC = sq. on AC + 2 sq. on BC + 2 rect. AC, CB = sq.on AC + 2 rect. AB,BC (by III.). PROP. VIII. — **Let the straight line AB be divided into any two parts in** C, and produced to D, so that BD=BC : then shall the square on AD be equal to four times the rectangle... | |
| Canada. Department of the Interior - 1888
...given point parallel to a given straight line. 5. Show that if a straight line be divided into any two **parts, the rectangles contained by the whole and each of the parts, are together equal to the square** on the whole line. 6. Show that if a straight line be divided into two equal, and also into two unequal... | |
| Euclid - 1890 - 400 sider
...under CD, X + rect. under DB, X. Proposition 2. THEOREM — If a straight line is divided into two **parts, the rectangles contained by the whole and each of the parts are together equal to the square** on the whole line. Let AB be a st. line divided in X. On AB describe sq. ABCD. Draw XY || to AD, and... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...algebraical illustrations of the above theorem. PROPOSITION 2. If a straight line be divided into any two **parts, the rectangles contained by the whole and each of the parts are together equal to the square** on the whole line. Let AB be divided at C. The rect. AB, AC with rect. AB, BO On AB describe the sq.... | |
| Rupert Deakin - 1891 - 79 sider
...undivided line and the several parts of the divided line. 2. If a straight line be divided into any two **parts, the rectangles contained by the whole and each of the parts are together equal to the square** on the. whole line. 3. If a straight line be divided into any two parts, the rectangle contained by... | |
| 1902
...the diagonal does not pass, are equal to one another. 4. If a straight line be divided into any two **parts, the rectangles contained by the whole and each...are together equal to the square of the whole line.** 5. If a straight line be bisected and be produced to any point, the rectangle contained by the whole... | |
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