Spherical Trigonometry: For the Use of Colleges and Schools |
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Page 125
... arcs which join the corners of a spherical triangle with the middle points of the opposite sides meet at a point ; The arcs which join the corners of a spherical triangle with the points where the inscribed circle touches the opposite ...
... arcs which join the corners of a spherical triangle with the middle points of the opposite sides meet at a point ; The arcs which join the corners of a spherical triangle with the points where the inscribed circle touches the opposite ...
Page 220
... arcs which join T with A , B , C respectively ; let l , m , n , be the cosines of the arcs which join H1 with A , B , C respectively ; and let a similar notation be used with respect to H2 , Hg , ... Then , by Art . 270 , Σ = l1λ + m1μ ...
... arcs which join T with A , B , C respectively ; let l , m , n , be the cosines of the arcs which join H1 with A , B , C respectively ; and let a similar notation be used with respect to H2 , Hg , ... Then , by Art . 270 , Σ = l1λ + m1μ ...
Page 222
... arcs which join T to the solid angles of the regular polyhedron is zero for all positions of T. 276. Since G = 0 , it follows that P , Q , R must each be zero ; these indeed are particular cases of the general result of Art . 275. See ...
... arcs which join T to the solid angles of the regular polyhedron is zero for all positions of T. 276. Since G = 0 , it follows that P , Q , R must each be zero ; these indeed are particular cases of the general result of Art . 275. See ...
Contents
CHAPTER | 1 |
II | 8 |
RELATIONS BETWEEN THE TRIGONOMETRICAL FUNCTIONS | 20 |
Copyright | |
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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