Cambridge problems proposed by the moderators to the candidates for mathematical honors at the general examination, 1843, Τόμος 21843 - 30 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 6.
Σελίδα 3
... principle of the lever ? 3. Define the centre of gravity of a body . Find the centre of gravity of a quadrilateral figure two sides of which are parallel . 4. How is force measured in Dynamics ? What is CAMBRIDGE PROBLEMS , 1843 .
... principle of the lever ? 3. Define the centre of gravity of a body . Find the centre of gravity of a quadrilateral figure two sides of which are parallel . 4. How is force measured in Dynamics ? What is CAMBRIDGE PROBLEMS , 1843 .
Σελίδα 4
... principles on which is founded the theory of the direct impact of elastic bodies . Two equal and imperfectly elastic bodies impinge directly : having given the original velocity of the one , find that of the other , in order that after ...
... principles on which is founded the theory of the direct impact of elastic bodies . Two equal and imperfectly elastic bodies impinge directly : having given the original velocity of the one , find that of the other , in order that after ...
Σελίδα 6
... principle of the " conservation of areas . " Shew that it holds in the case of a body acted on by gravity , moving on a surface of revolution of which the axis is vertical . 6. Shew how to find the altitude of a station above the ...
... principle of the " conservation of areas . " Shew that it holds in the case of a body acted on by gravity , moving on a surface of revolution of which the axis is vertical . 6. Shew how to find the altitude of a station above the ...
Σελίδα 12
... principle determine a meaning of ( — ) " . th - 5. The sum of the m powers of the roots " 1 = 0 is equal to zero , unless m be a multiple of n , in which case the sum is equal to n . 6. Define an ellipse , and from your definition ...
... principle determine a meaning of ( — ) " . th - 5. The sum of the m powers of the roots " 1 = 0 is equal to zero , unless m be a multiple of n , in which case the sum is equal to n . 6. Define an ellipse , and from your definition ...
Σελίδα 13
... principle determine a meaning of ( — ) = . th 5. The sum of the m ' powers of the roots x - 1 = 0 is equal to zero , unless m be a multiple of n , in which case the sum is equal to n . 6. Define an ellipse , and from your definition ...
... principle determine a meaning of ( — ) = . th 5. The sum of the m ' powers of the roots x - 1 = 0 is equal to zero , unless m be a multiple of n , in which case the sum is equal to n . 6. Define an ellipse , and from your definition ...
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.