| Robert Simson - 1762 - 466 páginas
...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 - 1775 - 520 páginas
...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 - 1796 - 311 páginas
...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... | |
| Alexander Ingram - 1799 - 351 páginas
...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 páginas
...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 - 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... | |
| Robert Simson - 1806 - 518 páginas
...straight line ; it is required to divide it 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.** a 46. 1. Upon AB describe a the square ABDC ; bisect 1• AC in E, ami b 10. 1. jo1n BE ; produce CA... | |
| John Playfair - 1806 - 311 páginas
...the lines." ,, 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, are equal to the square of the straight line which is made... | |
| John Bonnycastle - 1813 - 428 páginas
...required to divide a line, of 20 inches in length, into two such parts, that the rectangle of the whole **and one of the parts shall be equal to the square of the other.** Ans. 10/5 — 10 5. It is required to divide the number 60 into two such parts, that their product... | |
| 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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