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Books Books 1 - 10 of 10 on ... able to construct. These results were, as we have pointed out, all derived by....
" ... able to construct. These results were, as we have pointed out, all derived by common arithmetical operations, based on the obvious truth that the circumference of a circle is greater than that of any inscribed, and less than that of any circumscribed... "
Trigonometry and Double Algebra - Page 4
by Augustus De Morgan - 1849 - 167 pages
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Library of useful knowledge: Natural philosophy

Society for the Diffusion of Useful Knowledge, Society for the Diffusion of Useful Knowledge (Great Britain) - Science - 1829
...we cannot determine exactly the length of the circumference of a circle; but we are certain that it is greater than that of any inscribed polygon, and less than that of any circumscribed one, however numerous their sides may be. LIQUIDITY, the state of being liquid. LIQUIDS. The medium...
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Geometry, plane, solid, and spherical. To which is added, in an appendix ...

Pierce Morton - 1830
...Area of the Circle, III. t) 4, 5. [(a) The circumference of a circle is greater than the perimeter of any inscribed polygon, and less than that of any circumscribed polygon ; so also • The diagonals, also, of a regular pentagon are severally parallel to its sides, and greater...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 272 pages
...Area of Ihn Circle, III. § 4, 5. [(a) The circumference of a circle is greater than the perimeter of any inscribed polygon, and less than that of any circumscribed polygon ; so also • The diagonals, also, of a re guiar pentagon artseverally parallel to its sides, and greater...
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Library of useful knowledge: Mathematics ...

Society for the diffusion of useful knowledge (Great Britain) - Mathematics - 1835
...Area of the Circle, III. § 4, 5. [(a) The circumference of a circle is greater than the perimeter of any inscribed polygon, and less than that of any circumscribed polygon ; so also 2-10 its area is greater than the area of any inscribed polygon, and less thaii that of any...
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Chambers's Encyclopędia: A Dictionary of Universal Knowledge, Volume 8

Encyclopedias and dictionaries - 1868
...were, as we have pointed out, all derived by common arithmetical operations, based on the obvious truth that the circumference of a circle is greater than that of any inscribed, and less than that of any circumscribed polygon. They involve none of those more subtle ideas connected...
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Chambers's Encyclopaedia: A Dictionary of Universal Knowledge for ..., Volume 8

Encyclopedias and dictionaries - 1868
...were, as we have pointed out, all derived by common arithmetical operations, based on the obvious truth that the circumference of a circle is greater than that of any inscribed, and less than that of any circumscribed polygon. They involve none of those more subtle ideas connected...
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Chambers's encyclopędia, Volume 8

1874
...were, as we have pointed out, all derived by common arithmetical operations, bayed on the obvious truth that the circumference of a circle is greater than that of any inscribed, and less than that of any circumscribed polygon. Th«-y involve none of those more subtle ideas connected...
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The International Cyclopedia: A Compendium of Human Knowledge, Volume 12

Encyclopedias and dictionaries - 1890
...were, as we have pointed out, all derived by common arithmetical operations, based on the obvious truth that the circumference of a circle is greater than that of any inscribed, and less than that of any circumscribed polygon. They involve none of those more subtle ideas connected...
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 374 pages
...the least line enveloping the area ACB. 391. COR. 2. A circumference is greater than the perimeter of any inscribed polygon, and less than that. of any circumscribed polygon. PROPOSITION VIII. THEOREM. 392, As the number of their sides indefinitely increases, the perimeters...
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The standard American encyclopedia of arts, sciences, history ..., Volume 6

John Clark Ridpath - 1897
...formula. These results were all derived by common arithmetical operations based on the obvious truth that the circumference of a circle is greater than that of any inscribed, QUADRATUS— QU.ESTOK. and less than that of any circumscribed, polvgon. Snellius, Huyghens, Gregory...
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