 | Robert Simson - 1762 - Liczba stron: 488
...47. M I. 47- «. Book If. b. 10. I. i. 6. J. e. 47. i. I PROP. XI. PR OB. TO divide a given ftraight line into two parts, fo that the rectangle contained by the whole, and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given ftraight... | |
 | Robert Simson - 1775 - Liczba stron: 534
...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... | |
 | Euclid - 1781 - Liczba stron: 552
...line, &c. Q^ ED PROP. look II, k 10 i. e SI 46.".. *47-IPRO P. XI. PRO B. TO divide a given ftraight line into two parts, fo that the rectangle contained by the whole, and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given ftraight... | |
 | Richard Turner - 1787 - Liczba stron: 264
...Right Line given into extreme and meati Proportion ; that is, to cut a Line fo that the Product of the whole Line and one of the Parts fhall be equal to the Square of the other Part. Let AB be the Right Line given to be fo divided. 11 «L AC Cbnftruflion.... | |
 | John McGregor (teacher of mathematics.) - 1792 - Liczba stron: 532
...2 PROBLEM PROBLEM VI. Fig. 2. To divide any given line, AB, into two fuch parts that the reftangle, contained by the whole line and one of the parts, fhall be equal to the fquare of the other part. АВ=д CB=a— * Anf. a+ 2_ 4 PROBLEM VII. Given the difference between the diagonal of a fquare 4pd... | |
 | William Trail - 1796 - Liczba stron: 334
...a new calculation 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 - Liczba stron: 374
...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... | |
 | Robert Simson - 1804 - Liczba stron: 530
...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 - 1806 - Liczba stron: 320
...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 Mason Good - 1813 - Liczba stron: 714
...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... | |
| |
Iff 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 up of the whole and that... 
