Spherical Trigonometry: For the Use of Colleges and SchoolsMacmillan and Company, 1929 - 275 páginas |
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Página 175
... known ; then the values of a , ß , y are known , and by the formulae of Plane Trigonometry we can calculate S ' and A ' , B ' , C ' ; then A , B , C are known from the formulae S ' 3r2 S ' 3r29 A = A ' + B = B ' + C = C ' + S ' 3r2 ( 9 ) ...
... known ; then the values of a , ß , y are known , and by the formulae of Plane Trigonometry we can calculate S ' and A ' , B ' , C ' ; then A , B , C are known from the formulae S ' 3r2 S ' 3r29 A = A ' + B = B ' + C = C ' + S ' 3r2 ( 9 ) ...
Página 176
... known . ( 5 ) Suppose two angles and the side opposite to one of them in a spherical triangle known , for example A , B , a . Then and C'π- A'B'π - A - B approximately , S ' = = a2 sin B'sin C ' 2 sin A ' = a2sin B sin ( A + B ) cosec A ...
... known . ( 5 ) Suppose two angles and the side opposite to one of them in a spherical triangle known , for example A , B , a . Then and C'π- A'B'π - A - B approximately , S ' = = a2 sin B'sin C ' 2 sin A ' = a2sin B sin ( A + B ) cosec A ...
Página 191
... known , it is required to find the form of the triangle in order that the other sides may be least affected by errors in the observations . The spherical excess of the triangle may be supposed known with sufficient accuracy for practice ...
... known , it is required to find the form of the triangle in order that the other sides may be least affected by errors in the observations . The spherical excess of the triangle may be supposed known with sufficient accuracy for practice ...
Otras ediciones - Ver todas
Spherical Trigonometry: For the Use of Colleges and Schools Isaac Todhunter Vista de fragmentos - 1949 |
Términos y frases comunes
A+B+C ambiguity angle of intersection angular points arcs drawn B₁ bisecting centre Chapter circle inscribed circumcircle circumference coincide colunar triangle cos b cos cos² cos²a 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 Lsin Ltan 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 sides and angles 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