| N. F. DUPUIS, M.A., F.R.S.C. - 1894
...the construction of 183° solves the problem, " To divide a given segment so that the rectangle on **the whole and one of the parts is equal to the rectangle** on the other part and the segment which is the sum of the whole and the first part." 11. Construct... | |
| Henry Martyn Taylor - 1895 - 657 páginas
...BC, DC be equal to the squares on AB, AC respectively, the angle BAC is a right angle. PROPOSITION 3. **If a straight line be divided into any 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... | |
| Queensland. Department of Public Instruction - 1897
...together equal to two right angles. 6 5. Prove Eue. I. 20, without producing a side of the triangle. 7 6. **If a straight line be divided into any two parts, the rectangle contained by the whole** line and one of the parts is equal to the square on that part together with the rectangle contained... | |
| Lawrence Robert Dicksee - 1897 - 99 páginas
...sides of a parallelogram is equal to the sum of the squares of its diagonals. Q. 6.—Prove that, if a **line be divided into any two parts, the rectangle contained by the** sum and difference of the two parts is equal to the difference of the squares on the two parts. Q.... | |
| University of Sydney - 1898
...2. Shew how to bisect a given triangle by a line drawn through a given point in one side of it. 3. **If a straight line be divided into any two parts, the rectangle contained by the whole** line and one of the parts is equal to the rectangle contained by the two parts together with the square... | |
| Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
...b units, then AB = a + b units ; and we have (« + bf PROPOSITION 3. THEOREM. If a straight line is **divided into any two parts, the rectangle contained...by the whole and one of the parts is equal to the** square on that part together with the rectangle contained by the two parts. ACB Let the straight line... | |
| 1901
...figure DFBH is equal in area to the parallelogram AH. either В.— BOOK II. (6) If a straight line is **divided into any two parts, the rectangle contained...by the whole and one of the parts is equal to the** square on that part, together with the rectangle contained by the two parts. If the point of division... | |
| Euclid, Rupert Deakin - 1903 - 164 páginas
...and b denote the two parts of a line which contains a + 6 units of length. PROP. 3.— Theorem.— It **a straight line be divided into any two parts, the rectangle contained by the whole** line and one of the parts, is equal to the square on that part together with the rectangle contained... | |
| Euclid - 1904 - 456 páginas
...length, and let CB contain 6 units, BOOK II. PROP. 3. PROPOSITION 3. THEOREM. 133 If a straight line is **divided into any two parts, the rectangle contained...by the whole and one of the parts is equal to the** square on that part together with the rectangle contained by the two parts. ACB Let the straight line... | |
| Euclid - 1908
...construction of this triangle depends upon n. n, or the problem of dividing a straight line so that **the rectangle contained by the whole and one of the parts is equal to the** square on the other part. This problem of course appears again in Eucl. vi. 30 as the problem of cutting... | |
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