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 6.
Σελίδα 3
... 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 ° .29 ′ = 4338335 , cosine 34 ° . 30 ...
... 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 ° .29 ′ = 4338335 , cosine 34 ° . 30 ...
Σελίδα 8
... base on a smooth inclined plane , a string attached to its highest point , passing over a pulley at the top of the inclined plane , hangs vertically and supports a weight ; the portion of the string between the cylinder and the pulley ...
... base on a smooth inclined plane , a string attached to its highest point , passing over a pulley at the top of the inclined plane , hangs vertically and supports a weight ; the portion of the string between the cylinder and the pulley ...
Σελίδα 12
... bases . What limitation is there to the alternation of a geometrical · proportion ? 2. If a solid angle be contained by three plane angles , the sum of any two of them is greater than the third . 3. If an integer be prime to two other ...
... bases . What limitation is there to the alternation of a geometrical · proportion ? 2. If a solid angle be contained by three plane angles , the sum of any two of them is greater than the third . 3. If an integer be prime to two other ...
Σελίδα 13
... bases . What limitation is there to the alternation of a geometrical proportion ? 2. If a solid angle be contained by three plane angles , the sum of any two of them is greater than the third . 3. If an integer be prime to two other ...
... bases . What limitation is there to the alternation of a geometrical proportion ? 2. If a solid angle be contained by three plane angles , the sum of any two of them is greater than the third . 3. If an integer be prime to two other ...
Σελίδα 15
... base , having its plane at right angles to the base ; find the surface on which lie all the sub - contrary sections of the cone . 8. A small pencil of rays enters a reflecting sphere , and after n internal reflexions emerges through the ...
... base , having its plane at right angles to the base ; find the surface on which lie all the sub - contrary sections of the cone . 8. A small pencil of rays enters a reflecting sphere , and after n internal reflexions emerges through the ...
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.