 | Charles Anthon - Greek literature - 1853 - 610 pages
...and circumscribed polygons of ninety-six sides. 5. A treatise on Spirals (irep! 'E\(KWV), containing demonstrations of the principal properties of the...others, had died without accomplishing their solution. 6. A treatise on Obtuse Conoids and Spheroids (irepl afifthvyavtuv KajyoeiSeoij' Kal trx^iaTuy ff<t>aipoeiS(ai>),... | |
 | Charles Anthon - Greek literature - 1853 - 600 pages
...and circumscribed polygons of ninety-six sides. 5. A treatise on Spirals (irepl 'EAtKGW), containing demonstrations of the principal properties of the...others, had died without accomplishing their solution. 6. A treatise on Obtuse Conoids and Spheroids (irep\ a/zjSAuycoz/(W /ccovoaSeW Kal (rx^ltdTWV (T^cupoetSeW),... | |
 | William Smith - Biography - 1853 - 1136 pages
...treatise on Spirals contains demonstrations of the principal properties of the curve, now known ta the Spiral of Archimedes, which is generated by the...introductory epistle to Dositheus that Archimedes hail not been able to put these theorems in a satisfactory fonn without long-continued and repeated... | |
 | Percival Frost - 1863 - 526 pages
...question. As an example of a curve in space considered in this point of view, we may take the Helix, which is generated by the uniform motion of a point along a generating line of a right cylinder as the generating line revolves with uniform angular velocity about... | |
 | William Smith - Biography - 1867 - 1113 pages
...the circumference of the circle with the perimeters of the inscribed and circumscribed polygons of 96 sides. The treatise on Spirals contains demonstrations...had died without accomplishing their solution. The Arenarius (6 WauuLTys) is a short tract addressed to Gelo, the eldest son of Hiero, in which Archimedes... | |
 | Percival Frost - Geometry, Analytic - 1875 - 462 pages
...coordinate, the curve is called unicursal. 497. As an example of an unicnrsal curve, we may take the Helix, which is generated by the uniform motion of a point along a generating line of a right cylinder as the generating line revolves with uniform angular velocity about... | |
 | David Allan Low - 1884 - 178 pages
...axis (defined on p. 47), is a curve known as the helix. The helix may also be defined as the curve ' which is generated by the uniform motion of a point along a generating line of a right cylinder as the generating line revolves with uniform angular velocity about... | |
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EAtKGW), containing demonstrations of the principal properties of the curve, now known as the Spiral of Archimedes, which is generated by the uniform motion of a point along a straight line, revolving uniformly in one plane about one of its extremities.... 