Cambridge problems proposed by the moderators to the candidates for mathematical honors at the general examination, 1843, Τόμος 21843 - 30 σελίδες |
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Αποτελέσματα 1 - 5 από τα 8.
Σελίδα 3
... spherical triangles , the angles at the base are equal . 15. Prove the formula for finding the cosine of an angle of a spherical triangle in terms of the sides . = 16. Shew how to construct a table of natural sines . Given cosine 34 ...
... spherical triangles , the angles at the base are equal . 15. Prove the formula for finding the cosine of an angle of a spherical triangle in terms of the sides . = 16. Shew how to construct a table of natural sines . Given cosine 34 ...
Σελίδα 5
... of a solid revolution . A solid sector of a sphere hangs from a point in its circular rim with its axis horizontal , find its vertical angle . 3. A body moves round a centre of force varying CAMBRIDGE PROBLEMS , 1843 . 5.
... of a solid revolution . A solid sector of a sphere hangs from a point in its circular rim with its axis horizontal , find its vertical angle . 3. A body moves round a centre of force varying CAMBRIDGE PROBLEMS , 1843 . 5.
Σελίδα 13
... spherical triangles prove the formula cot A. sin C cot a . sin b = - cos C. cos b , adapt this to logarithmic computation , and shew that the in- troduction of a subsidiary angle corresponds to dividing the triangle into two right ...
... spherical triangles prove the formula cot A. sin C cot a . sin b = - cos C. cos b , adapt this to logarithmic computation , and shew that the in- troduction of a subsidiary angle corresponds to dividing the triangle into two right ...
Σελίδα 13
... spherical triangles prove the formula cot A. sin C cot a . sin b - = -cos C. cos b , adapt this to logarithmic computation , and shew that the in- troduction of a subsidiary angle corresponds to dividing the triangle into two right ...
... spherical triangles prove the formula cot A. sin C cot a . sin b - = -cos C. cos b , adapt this to logarithmic computation , and shew that the in- troduction of a subsidiary angle corresponds to dividing the triangle into two right ...
Σελίδα 14
... sphere ( radius r ) which touch one another in P , Q , R , and A , B , C be the angles of the spherical triangle formed by joining their centres . ( A cos r1 + B cos r2 + С cos r1 ) π area ( PQR ) = π p2 . π 3 . tan tan + m • ) m 1 ...
... sphere ( radius r ) which touch one another in P , Q , R , and A , B , C be the angles of the spherical triangle formed by joining their centres . ( A cos r1 + B cos r2 + С cos r1 ) π area ( PQR ) = π p2 . π 3 . tan tan + m • ) m 1 ...
Άλλες εκδόσεις - Προβολή όλων
Cambridge Problems Proposed by the Moderators to the Candidates for ... Exam Papers Cambridge Univ Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
asymptotes axes axis centre of gravity circle conjugate diameters cosine curve cylinder determine developable surface diagonal double curvature dx a² ecliptic elastic string ellipse ellipsoid equal equilibrium Find dy Find the centre find the condition Find the equation Find the position Find the ratio fixed point fluid forces act fraction function given plane given point harmonic mean inclined plane January least common multiple MATHEMATICS AND NATURAL meridian minimum Moon's motion NATURAL PHILOSOPHY north polar distance number of terms orbit oscillations osculating plane parabola parallel parallelograms particle point of contact pole pressure projection prove the formula pulley PURE MATHEMATICS QUESTIONS IN PURE r₁ radii radius of curvature radius vector rays refracted rest right angle right-angled triangle roots segment shew smooth horizontal plane sphere spherical triangles surface tangents temperature touch vertex vertical plane x y z
Δημοφιλή αποσπάσματα
Σελίδα 3 - The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances...
Σελίδα 10 - But when a solid angle is formed by three plane angles, the sum of any two of them is greater than the third (Prop.
Σελίδα 10 - Triangles and parallelograms of the same altitude are to one another as their bases.
Σελίδα 6 - ... string passing over a pulley at the top of the inclined plane hangs vertically, supporting a weight (P).
Σελίδα 1 - To express the cosine of an angle of a spherical triangle in terms of the sines and cosines of the sides. Let ABC be a spherical triangle, O the centre of the sphere.
Σελίδα 8 - A Screw of Archimedes is capable of turning freely round its axis, which is fixed in a vertical position ; a heavy particle is placed at the top of the tube and runs down through it; determine the whole angular velocity communicated to the screw.