Spherical Trigonometry: For the Use of Colleges and SchoolsMacmillan and Company, 1863 - 132 σελίδες |
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... 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 point by the late R. L. Ellis of Trinity College ; Mr ...
... 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 point by the late R. L. Ellis of Trinity College ; Mr ...
Σελίδα 30
... method has the advantage of giving a perfectly general proof , as all the equations used are universally true . EXAMPLES . 1. If A = a , shew that B and b are equal or supplemental , as also C and c . 2. If one angle of a triangle be ...
... method has the advantage of giving a perfectly general proof , as all the equations used are universally true . EXAMPLES . 1. If A = a , shew that B and b are equal or supplemental , as also C and c . 2. If one angle of a triangle be ...
Σελίδα 37
... method of the preceding article is the only one by which Napier's Rules can be demonstrated ; this statement , however , is inaccurate , since besides this method Napier himself indicated another method of proof in his Mirifici ...
... method of the preceding article is the only one by which Napier's Rules can be demonstrated ; this statement , however , is inaccurate , since besides this method Napier himself indicated another method of proof in his Mirifici ...
Σελίδα 39
... method of considering Napier's Rules regards each Rule , not as the statement of dissimilar properties of one triangle , but as the statement of similar properties of five allied triangles . 69. In Napier's work a figure is given of ...
... method of considering Napier's Rules regards each Rule , not as the statement of dissimilar properties of one triangle , but as the statement of similar properties of five allied triangles . 69. In Napier's work a figure is given of ...
Σελίδα 86
... methods of effecting the calculations for determining the lengths of the sides of all the triangles in the survey . One method is to use the exact formulæ of Spherical Trigonometry . The radius of the Earth may be considered known very ...
... methods of effecting the calculations for determining the lengths of the sides of all the triangles in the survey . One method is to use the exact formulæ of Spherical Trigonometry . The radius of the Earth may be considered known very ...
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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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