Spherical Trigonometry ...Macmillian and Company, limited, 1859 - 275 páginas |
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... radius . A straight line drawn through the centre and terminated both ways by the surface is called a diameter . 2. The section of the surface of a sphere made by any plane is a circle . A B Let AB be the section of the surface of a ...
... radius . A straight line drawn through the centre and terminated both ways by the surface is called a diameter . 2. The section of the surface of a sphere made by any plane is a circle . A B Let AB be the section of the surface of a ...
Página 1
... radius . A straight line drawn through the centre and terminated both ways by the surface is called a diameter . 2. The section of the surface of a sphere made by any plane is a circle . A B Let AB be the section of the surface of a ...
... radius . A straight line drawn through the centre and terminated both ways by the surface is called a diameter . 2. The section of the surface of a sphere made by any plane is a circle . A B Let AB be the section of the surface of a ...
Página 6
... radius OA ' ( Plane Trigonometry , Art . 18 ) ; arc ab radius Ca arc AB = therefore , arc ab arc AB - Са OA = Са = sin POα . Oa II . SPHERICAL TRIANGLES . 15. Spherical Trigonometry investigates the relations which subsist between the ...
... radius OA ' ( Plane Trigonometry , Art . 18 ) ; arc ab radius Ca arc AB = therefore , arc ab arc AB - Са OA = Са = sin POα . Oa II . SPHERICAL TRIANGLES . 15. Spherical Trigonometry investigates the relations which subsist between the ...
Página 8
... radius OA and thus the arc AB is proportional to the angle AOB so long as we keep to the same sphere . The angles of a spherical triangle are the inclinations of the plane faces which form the solid angle ; for since Ab and Ac are both ...
... radius OA and thus the arc AB is proportional to the angle AOB so long as we keep to the same sphere . The angles of a spherical triangle are the inclinations of the plane faces which form the solid angle ; for since Ab and Ac are both ...
Página 29
... radius of the sphere . Then the square of the straight line AB is equal to and also to - - ( x , − x ̧ ) 2 + ( Y ̧ − Y1 ) 2 + ( ≈ , −2 , ) 3 , - p2 + r2 – 2r2 cos AOB ; 2 2 2 and x2 + y , * + OF THE SIDES AND ANGLES OF A SPHERICAL ...
... radius of the sphere . Then the square of the straight line AB is equal to and also to - - ( x , − x ̧ ) 2 + ( Y ̧ − Y1 ) 2 + ( ≈ , −2 , ) 3 , - p2 + r2 – 2r2 cos AOB ; 2 2 2 and x2 + y , * + OF THE SIDES AND ANGLES OF A SPHERICAL ...
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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