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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Σελίδα
... diameter bisects them , that is , divides arts . angle in a semi - circle is a right angle ; but ent greater than a semi - circle is less than a The angle in a segment less than a semi - circle right angle . n must be invested in the 3 ...
... diameter bisects them , that is , divides arts . angle in a semi - circle is a right angle ; but ent greater than a semi - circle is less than a The angle in a segment less than a semi - circle right angle . n must be invested in the 3 ...
Σελίδα 1
... diameter bisects them , that is , divides them into two equal parts . 2. In a circle the angle in a semi - circle is a right angle ; but the angle in a segment greater than a semi - circle is less than a right angle ; and the angle in a ...
... diameter bisects them , that is , divides them into two equal parts . 2. In a circle the angle in a semi - circle is a right angle ; but the angle in a segment greater than a semi - circle is less than a right angle ; and the angle in a ...
Σελίδα 2
... diameters of an ellipse . Shew that there can be but one pair of rectangular conjugate diameters . 13. Shew how to reduce the reciprocal equation x21 — 2 CAMBRIDGE PROBLEMS , 1843 .
... diameters of an ellipse . Shew that there can be but one pair of rectangular conjugate diameters . 13. Shew how to reduce the reciprocal equation x21 — 2 CAMBRIDGE PROBLEMS , 1843 .
Σελίδα 7
... diameters coinciding with the radii of the quadrant ; shew that the area common to the two semicircles is equal to that portion of the area of the quadrant which is outside the semi- circles . 3. From a given point outside two given ...
... diameters coinciding with the radii of the quadrant ; shew that the area common to the two semicircles is equal to that portion of the area of the quadrant which is outside the semi- circles . 3. From a given point outside two given ...
Σελίδα 8
... diameter is always con- stant . • ( to x indices ) 6. Shew that აა ee - = = log ** ( e ) . If log3 { ƒ ( x ) } = f ( x − y ) , and ƒ ( 0 ) = e , determine ƒ ( x ) . 7. If k be the last term of an equation of the nth degree , 1 whose ...
... diameter is always con- stant . • ( to x indices ) 6. Shew that აა ee - = = log ** ( e ) . If log3 { ƒ ( x ) } = f ( x − y ) , and ƒ ( 0 ) = e , determine ƒ ( x ) . 7. If k be the last term of an equation of the nth degree , 1 whose ...
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.