Scholarship examinations of 1846/47 (-1853/54). |
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Страница 9
... equal to one angle of the other , and the sides about two other angles proportionals ; then , if each of the remaining angles be either less , or not less than a right angle , or if one of them be a right angle , the triangles shall be ...
... equal to one angle of the other , and the sides about two other angles proportionals ; then , if each of the remaining angles be either less , or not less than a right angle , or if one of them be a right angle , the triangles shall be ...
Страница 10
... equal roots . 13. Prove the truth of the following formula : sin A + sin ( 36o — A ) + sin ( 72o + A ) = sin ( 36o + A ) + sin ( 72o —A ) , and explain its use in verifying tables of trigonometric functions . 14. Shew how to adapt the ...
... equal roots . 13. Prove the truth of the following formula : sin A + sin ( 36o — A ) + sin ( 72o + A ) = sin ( 36o + A ) + sin ( 72o —A ) , and explain its use in verifying tables of trigonometric functions . 14. Shew how to adapt the ...
Страница 11
... equal to sin x . 26. Find the second differential co - efficients with regard to x of the following expressions : - 1 -1 √b - a cos x COS ( 1 ) ✓b- - ) ; 1 a tan T ( 2 ) log ε a tan + b + √ b2 a2 b√ b2 a2 :) : : 5 27. Shew that for ...
... equal to sin x . 26. Find the second differential co - efficients with regard to x of the following expressions : - 1 -1 √b - a cos x COS ( 1 ) ✓b- - ) ; 1 a tan T ( 2 ) log ε a tan + b + √ b2 a2 b√ b2 a2 :) : : 5 27. Shew that for ...
Страница 13
... equal to the space through which a body , carried up from the earth to the elevation of the Moon and left to fall back , would descend in the same time : the attraction of the Earth being supposed to vary inversely as the square of the ...
... equal to the space through which a body , carried up from the earth to the elevation of the Moon and left to fall back , would descend in the same time : the attraction of the Earth being supposed to vary inversely as the square of the ...
Страница 14
... equal to the weight of a cubic foot of sea water taken from the surface of the Ocean , the density is increased by a 4th part of the density at the surface . Would a piece of metal seven times as heavy as the same bulk of sea water at ...
... equal to the weight of a cubic foot of sea water taken from the surface of the Ocean , the density is increased by a 4th part of the density at the surface . Would a piece of metal seven times as heavy as the same bulk of sea water at ...
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