Spherical Trigonometry: For the Use of Colleges and SchoolsMacmillan and Company, 1863 - 132 σελίδες |
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... Rules of Circular Parts an explanation has been given of a method of proof devised by Napier , which seems to have been overlooked by most modern writers on the subject . I have had the advantage of access to an unprinted Memoir on this ...
... Rules of Circular Parts an explanation has been given of a method of proof devised by Napier , which seems to have been overlooked by most modern writers on the subject . I have had the advantage of access to an unprinted Memoir on this ...
Σελίδα 35
... Rules . The formulæ of Art . 62 are comprised in two rules , which are called , from their inventor , Napier's Rules of Circular Parts . Napier was also the inventor of Logarithms , and the Rules of Circular Parts were first published ...
... Rules . The formulæ of Art . 62 are comprised in two rules , which are called , from their inventor , Napier's Rules of Circular Parts . Napier was also the inventor of Logarithms , and the Rules of Circular Parts were first published ...
Σελίδα 36
... Rules are the following : = 2 sine of the middle part product of tangents of adjacent parts , sine of the middle part = product of cosines of opposite parts . 67. Napier's Rules may be demonstrated by shewing that they agree with the ...
... Rules are the following : = 2 sine of the middle part product of tangents of adjacent parts , sine of the middle part = product of cosines of opposite parts . 67. Napier's Rules may be demonstrated by shewing that they agree with the ...
Σελίδα 37
... Rules can be demonstrated ; this statement , however , is inaccurate , since besides this method Napier himself indicated another method of proof in his Mirifici Logarithmorum Canonis Descriptio , pp . 32 , 35. This we will now briefly ...
... Rules can be demonstrated ; this statement , however , is inaccurate , since besides this method Napier himself indicated another method of proof in his Mirifici Logarithmorum Canonis Descriptio , pp . 32 , 35. This we will now briefly ...
Σελίδα 39
... Rules will be found to follow from applying the two theorems in succes- sion to the five triangles formed in the preceding figure . Thus this method of considering Napier's Rules regards each Rule , not as the statement of dissimilar ...
... Rules will be found to follow from applying the two theorems in succes- sion to the five triangles formed in the preceding figure . Thus this method of considering Napier's Rules regards each Rule , not as the statement of dissimilar ...
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a+b+c angular points approximately bisecting calculated centre circle described circular measure cos b cos cos² cos³ cosb cosines Crown 8vo deduce denote equal equation Fcap Fellow of St formed formulæ given greater Hence inscribed John's College late Fellow less Let ABC limp cloth lune M.A. Fellow middle point Napier's analogies Napier's Rules obtain perpendicular plane triangle Plane Trigonometry polar triangle pole polygon preceding article primitive triangle quadrant radius regular polyhedron respectively right angles right-angled triangles School Second Edition Sermons preached shew shewn Similarly sin b sin sin² sin³ sine small circle solid angle solution sphere spherical excess spherical triangle Spherical Trigonometry St John's College suppose surface tangent tetrahedron Third Edition Treatise triangle ABC Trinity College University of Cambridge values vols
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