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
... least common multiple of two and extend the method to find that of several quan- nd the least common multiple of x3 — x , x3 — 1 , - sum of any number of terms of a series in -ion . Ihmetic progression is 72 , the firm is Miference 4 ...
... least common multiple of two and extend the method to find that of several quan- nd the least common multiple of x3 — x , x3 — 1 , - sum of any number of terms of a series in -ion . Ihmetic progression is 72 , the firm is Miference 4 ...
Σελίδα 1
... least common multiple of two quantities and extend the method to find that of several quan- tities . Ex . Find the least common multiple of x3 — x , 33 23 +1 . - 1 , 5. Find the sum of any number of terms of a series in arithmetic ...
... least common multiple of two quantities and extend the method to find that of several quan- tities . Ex . Find the least common multiple of x3 — x , 33 23 +1 . - 1 , 5. Find the sum of any number of terms of a series in arithmetic ...
Σελίδα 11
... least radii of curvature at that point . Then shew that at the point P d2 u d2 u de u 1 d2 ( uz ) + + = dx2 dy2 dz2 z dz2 24. One of the equations , which determine the vibratory motion of the particles or air , may be put in the form d ...
... least radii of curvature at that point . Then shew that at the point P d2 u d2 u de u 1 d2 ( uz ) + + = dx2 dy2 dz2 z dz2 24. One of the equations , which determine the vibratory motion of the particles or air , may be put in the form d ...
Σελίδα 16
... least roots of the equation x TM — 1 = ¿ is a series of which the ( r ) th term is 1 Δ * 0rm = 1 7 1.2 ... ( rm – 1 ) * least axis ( c ) vertical on a 18. An ellipsoid rests with its rough horizontal plane : when slightly disturbed in ...
... least roots of the equation x TM — 1 = ¿ is a series of which the ( r ) th term is 1 Δ * 0rm = 1 7 1.2 ... ( rm – 1 ) * least axis ( c ) vertical on a 18. An ellipsoid rests with its rough horizontal plane : when slightly disturbed in ...
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.