Spherical Trigonometry ...Macmillian and Company, limited, 1859 - 275 páginas |
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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 ...
Página 30
... method has the advantage of giving a perfectly general proof , as all the equations used are universally true . EXAMPLES . 1. If A also C and c . === a , shew that B and b are equal or supplemental , as 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 also C and c . === a , shew that B and b are equal or supplemental , as 2. If one angle of a triangle be ...
Página 37
... method of the preceding article is the only one by which Napier's Rules can be proved ; this statement , however , is inaccurate , since besides this method Napier himself indicated another method of proof in his Mirifici Logarithmorum ...
... method of the preceding article is the only one by which Napier's Rules can be proved ; this statement , however , is inaccurate , since besides this method Napier himself indicated another method of proof in his Mirifici Logarithmorum ...
Página 39
... method of considering Napier's Rules regards each Rule , not as the statement of dissimilar properties of one triangle , but as the state- ment 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 state- ment of similar properties of five allied triangles . 69 . In Napier's work a figure is given of ...
Página 84
... methods of effecting the calculations for determining the lengths of the sides of all the triangles in the 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 One method is to use the exact formulæ of Spherical Trigonometry . The radius of the Earth may be considered known very ...
Otras ediciones - Ver todas
Spherical Trigonometry: For the Use of Colleges and Schools Isaac Todhunter Vista de fragmentos - 1949 |
Spherical Trigonometry: For the Use of Colleges and Schools Isaac Todhunter Vista de fragmentos - 1929 |
Términos y frases comunes
A+B+C ambiguity angular points approximately bisecting Cambridge centre circular measure cloth cos b cos cos² cos³ cosine Crown 8vo deduce denote drawn equal angles equilateral example expressed Fcap formulæ formulæ of Art greater Hence hypothenuse inscribed Legendre's Theorem less Let ABC lune meet middle point Napier's analogies Napier's Rules obtained octahedron opposite angle opposite sides parallelopiped perpendicular plane angles plane triangle Plane Trigonometry polar triangle pole polygon preceding article primitive triangle prove quadrant R₁ r₂ radius regular polyhedron respectively right angle right-angled triangles Second Edition shew shewn sides and angles Similarly sin b cos sin b sin sin² sin³ sine solid angle sphere spherical excess spherical triangle Spherical Trigonometry subtended Suppose surface tangent tetrahedron Treatise triangle ABC Trigono Trinity College values π π
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