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 3
... to the 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 .
... to the 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
Cambridge univ, exam. papers. 4. How is force measured in Dynamics ? What is denoted by the letter ( g ) in dynamical formula ? If the unit of time be one minute , what is the measure of the accelerating force of gravity ? How are the ...
Cambridge univ, exam. papers. 4. How is force measured in Dynamics ? What is denoted by the letter ( g ) in dynamical formula ? If the unit of time be one minute , what is the measure of the accelerating force of gravity ? How are the ...
Σελίδα 5
... measuring time ? What time does the astronomical clock shew ? What time does a dial shew ? Find the mean time of a given star's transit . 17. Describe the vernier . If the limb of the instrument is divided to 10 ' , and the vernier ...
... measuring time ? What time does the astronomical clock shew ? What time does a dial shew ? Find the mean time of a given star's transit . 17. Describe the vernier . If the limb of the instrument is divided to 10 ' , and the vernier ...
Σελίδα 8
... ( measured from the centre ) cut off by them from a given 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 ...
... ( measured from the centre ) cut off by them from a given 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 ...
Σελίδα 25
... measured from its mean place along the solstitial colure and perpendicular to it , find the effect on the right ascension and north polar distance of a given star . 6. Prove that Σ ( Uz Vx ) = UzΣ vx — Σ ( Au , Σvx + 1 ) , and find Σ ...
... measured from its mean place along the solstitial colure and perpendicular to it , find the effect on the right ascension and north polar distance of a given star . 6. Prove that Σ ( Uz Vx ) = UzΣ vx — Σ ( Au , Σvx + 1 ) , and find Σ ...
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.