| Robert Simson - Trigonometry - 1762 - 466 pages
...ftraight line, &c, Q^ED PROP. VIII. THEOR; TF a ftraight line be divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts,** together with the fquare of the other part, is equal to the fquare of the ftraight line which is made... | |
| Robert Simson - Trigonometry - 1775 - 520 pages
...Q._E. D. cCof.4.t. E PROP. VIII. THEO K. TF a ftraight line be divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts,** together with the fquare of the other part, is equal to the fquare of the ftraight line which is made... | |
| William Trail - Algebra - 1796 - 311 pages
...in place of that conftruction. PROP. PROP. I. To divide a given Jlraight line AB into two parts, fo **that the rectangle contained by the -whole line, and one of the parts, may be equal to** thefquare of the other part. This is Prop. i ith II. B. of Euclid. e ~-~ ACB Let C be the point of... | |
| Alexander Ingram - Trigonometry - 1799 - 351 pages
...34- 1• bCoi. 4. 2 PROP. VIII. TIIEOR. F a ftraight line be divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts,** together with the Iquare of the other part, is equal to the fquare of the ftraight line which is made... | |
| John Bonnycastle - 1803 - 279 pages
...fquareg of AS, Bg, CD and DA. Q..ED PROP. XXII, PROBLEM. To divide a given right line into two parts, fo **that the rectangle contained by the whole line and one of the parts,** fhall be equal to the fquare of the other part. Let AB be the given right line ; it is required to... | |
| Robert Simson - Trigonometry - 1804
...ftraight line, &c. Q^ED PROP. VIII. THE OR. IF a ftraight line be divided into any two parts, four times **the rectangle contained by the whole line, and one of the parts,** together with the fquare of the other part, is equal to the fquare of the ftraight line which is made... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...because DG=DB; therefore AD2+DB2=2AC2+ 2CD2. Wherefore, if a straight line, &c, QE D, PROP. XI. PROB. **TO divide a given straight line into two parts, so that the rectangle contained by the whole** and one of the parts may be equal to the square of the other part. Let AB be the given straight line... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...double of the squares of AC, CD. Wherefore, wr a straight line, &c. QED PROP. XI. PROB. TO clivjde **a given straight line into two parts, so that the rectangle contained by the whole** and one of the parts shall be equal to the square of the other part. Let AB be the given straight line... | |
| Euclid - Geometry - 1810 - 518 pages
...AD, DB are double of the squares of AC, CD. \Vherefore, if a straight line, &c. QED PR6P. XI. PROB. **TO divide a given straight line into two parts, so that the rectangle contained by the whole** and one of the parts shall be equal to the square of the other part. Let AB be the given straight line... | |
| John Mason Good - 1813
...of the other part. Prop. VIII. Theor. 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... | |
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