A History of the Study of Mathematics At Cambridge

Cover A History of the Study of Mathematics At Cambridge
A History of the Study of Mathematics At Cambridge
W W Rouse Walter William Rouse Ball
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If half of the earth were taken off by the impulse of a comet, what change would be produced in the moon's orbit?
18. Prove that if the eye be placed in the principal focus of a lens, . The image of a given object would always appear the same.
19. Find the time of emptying a given paraboloid by a hole made in the vertex.
20. Find the proportion between the centripetal and centrifugal forces in a curve ; and apply the expression to the reciprocal spiral.
MONDAY AFTERNOON PROBLEMS. MR. DEALTRY.
F
...ifth and sixth classes (i. E. The expectant junior optimes).
1. Prove that an arithmetic mean is greater than a geometric.
2. Every section of a sphere is a circle. Eequired a proof.
3. If | of an ell of Holland cost |. What will 12| ells cost?
4. Prove the method of completing the square in a quadratic equation.
5. Take away the second term of the equation x 2 - 6. Inscribe the greatest rectangle in a given circle.
7. Sum the following series : 1 + 3 + 5 + 7 + &c. To n terms.
. Ad inf.
THE PROBLEM PAPERS SET IN 1802.


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