Weekly problem papers, with notes. [With] Solutions1885 |
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Page vi
... equal number of alternative questions which are to a great extent similar in character to the corresponding problems . I have also added two notes , one on Geometrical Maxima and Minima , and the other on the geometrical method of inves ...
... equal number of alternative questions which are to a great extent similar in character to the corresponding problems . I have also added two notes , one on Geometrical Maxima and Minima , and the other on the geometrical method of inves ...
Page ix
... are all unequal positive integers , is positive and not equal to unity . and ,, 6 , for ' axes ' read ' semi - axes . ' 1 , for 2nx ( 1 + x ) n - 1 read 2nx ( 1 + x ) 2n − 1 , 1 1 1 ( aa ) 2 + ( b3 ) 2 PAPER XLIV . دو XLVII . No. 6 , ...
... are all unequal positive integers , is positive and not equal to unity . and ,, 6 , for ' axes ' read ' semi - axes . ' 1 , for 2nx ( 1 + x ) n - 1 read 2nx ( 1 + x ) 2n − 1 , 1 1 1 ( aa ) 2 + ( b3 ) 2 PAPER XLIV . دو XLVII . No. 6 , ...
Page 2
... equal , .. RT = HP . .. CT = SG SP = .. = CS2 , ST ' CH CG CR ' SP = CR CA ; .. HT is perpendicular to .. RHTP is a rectangle , .. its diagonals 1. xn - ntn - 1 | n2n + 1 PAPER II . - ( n + 1 ) . + 1 | n nan + 1 n2x2 + n2x - - ( n + 1 ) ...
... equal , .. RT = HP . .. CT = SG SP = .. = CS2 , ST ' CH CG CR ' SP = CR CA ; .. HT is perpendicular to .. RHTP is a rectangle , .. its diagonals 1. xn - ntn - 1 | n2n + 1 PAPER II . - ( n + 1 ) . + 1 | n nan + 1 n2x2 + n2x - - ( n + 1 ) ...
Page 4
... equal to the angle BẶC . Draw NM parallel to BC , MP parallel to AC . Then MNP is the triangle required . For arc MG = arc GN , .. angle MOG .. angle MPN : = = angle GON . angle BAC & c . 6. Let P , Q , R be three points on a parabola ...
... equal to the angle BẶC . Draw NM parallel to BC , MP parallel to AC . Then MNP is the triangle required . For arc MG = arc GN , .. angle MOG .. angle MPN : = = angle GON . angle BAC & c . 6. Let P , Q , R be three points on a parabola ...
Page 10
... each to power and this is evidently true when n = 1 . - Similarly it can be shewn that there is a value of each of the other expressions equal to one of the values of e2 - V - 1 6. Let A and B be the centres of the 10 SOLUTIONS OF.
... each to power and this is evidently true when n = 1 . - Similarly it can be shewn that there is a value of each of the other expressions equal to one of the values of e2 - V - 1 6. Let A and B be the centres of the 10 SOLUTIONS OF.
Common terms and phrases
a+b+c ABCD axis bisects the angle Cambridge centre chord circle round circle will go circum-circle Clifton College coef College conic const coordinates cos² cosec Crown 8vo denote diameter directrix draw Edition ellipse envelope equal equation Fcap fixed point geometrical given expression hyperbola inscribed circle intersect Join Let ABC Let the tangent locus Mathematics meet middle point Monday afternoon morning nine-point circle nth term orthocentre PAPER parabola parallel perpendicular plane Professor quadrilateral radical axis radius right angles shew shewn sides Similarly sin² sin³ straight line tan² tangent Todh triangle Trinity College Tripos velocity vertex vertical
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