... 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 4by Augustus De Morgan - 1849 - 167 pagesFull view - About this book
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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