| Robert Simson - Trigonometry - 1762 - 488 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 - 534 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 - 334 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... | |
| Alexander Ingram - Trigonometry - 1799 - 374 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 - 306 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 - 530 pages
...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 - 320 pages
...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 - 714 pages
...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... | |
| Euclides - 1816 - 588 pages
...straight line, &c. QED PROP. VIII. THEOfc. 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... | |
| Miles Bland - Euclid's Elements - 1819 - 444 pages
...square of AC, ie to the square of the given line. (10.) To divide a given line into two such parts **that the rectangle contained by the whole line and one of the parts** may be (m) times the square of the other part, m being whole or fractional. Let AB be the given line,... | |
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