Spherical Trigonometry: For the Use of Colleges and SchoolsMacmillan, 1949 - 275 páginas |
Dentro del libro
Resultados 1-3 de 51
Página 31
... formulae instead of ( 19 ) . Case IV . Three angles and a side . 54. To express the cosine of a side of a triangle in terms of sines and cosines of the angles . In the formulae of Art . 42 we may , by Art . 28 , change the sides into ...
... formulae instead of ( 19 ) . Case IV . Three angles and a side . 54. To express the cosine of a side of a triangle in terms of sines and cosines of the angles . In the formulae of Art . 42 we may , by Art . 28 , change the sides into ...
Página 33
... formulae in Art . 54 were obtained ; but these formulae may be deduced analytically from those in Art . 44 , and thus the whole subject may be made to depend on the formulae of Art . 44 . For from Art . 44 we obtain expressions for cos ...
... formulae in Art . 54 were obtained ; but these formulae may be deduced analytically from those in Art . 44 , and thus the whole subject may be made to depend on the formulae of Art . 44 . For from Art . 44 we obtain expressions for cos ...
Página 49
... equations of Art . 49 , ( 5 ) from the third equation of Art . 54 , ( 6 ) from the first and second equations of Art . 54 . Since the six formulae may be obtained from those given in the preceding chapter which have been proved to be ...
... equations of Art . 49 , ( 5 ) from the third equation of Art . 54 , ( 6 ) from the first and second equations of Art . 54 . Since the six formulae may be obtained from those given in the preceding chapter which have been proved to be ...
Contenido
CHAPTER | 1 |
II | 8 |
RELATIONS BETWEEN THE TRIGONOMETRICAL FUNCTIONS | 20 |
Derechos de autor | |
Otras 13 secciones no mostradas
Otras ediciones - Ver todas
Spherical Trigonometry: For the Use of Colleges and Schools Isaac Todhunter Vista de fragmentos - 1929 |
Términos y frases comunes
A+B+C ambiguity angle of intersection angular points arcs drawn arcs which join B₁ bisecting centre Chapter circle inscribed circumference coincide colunar triangle cos b cos cos b sin cos² cos2b cosc cosine deduce DELAMBRE'S analogies denote determined elements equal equation example expression formulae of Art Geometry given greater Hence inscribed circle less Let ABC logarithms lune meet mid points NAPIER'S analogies NAPIER'S Rules obtained opposite sides perpendicular Plane Geometry plane triangle polar triangle pole positive preceding Article quadrant r₁ r₂ radii radius regular polyhedron respectively result right angles right-angled triangles shew shewn Similarly sin b sin sin c cos sin² sine small circle solid angle solution Sphärik sphere spherical excess spherical polygon spherical triangle Spherical Trigonometry substitution suppose surface tetrahedron theorem triangle ABC