Weekly problem papers, with notes. [With] Solutions1885 |
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Page x
... , this series should be 1 2 3 4 + 12.32 32.52 52.72 + + 72.92 + ... XCIX . 99 39 2 , second line , for sec read sin C C 2 " " " 5 , last line , for an ellipse ' read ' a conic . ' ERRATA IN SOLUTIONS . PAPER II . No. 2. ( X ERRATA .
... , this series should be 1 2 3 4 + 12.32 32.52 52.72 + + 72.92 + ... XCIX . 99 39 2 , second line , for sec read sin C C 2 " " " 5 , last line , for an ellipse ' read ' a conic . ' ERRATA IN SOLUTIONS . PAPER II . No. 2. ( X ERRATA .
Page 34
... conic has double contact with the circle , it is of the form - x2 + y2 a2 + ( lx + my - n ) 2 0 . = Since it passes through the origin , the absolute term = 0 . .. n2 : = a2 . Since the axis of x is a tangent at the origin , .. by ...
... conic has double contact with the circle , it is of the form - x2 + y2 a2 + ( lx + my - n ) 2 0 . = Since it passes through the origin , the absolute term = 0 . .. n2 : = a2 . Since the axis of x is a tangent at the origin , .. by ...
Page 53
... conic . .. the plane intersects the sphere in the auxiliary circle . rNo2 , OD ' 6. Let O be the centre of the circle , OD the perpendicular . Produce DO to meet the sphere in D ' . Let r , R be the radii of the circle and sphere . Then ...
... conic . .. the plane intersects the sphere in the auxiliary circle . rNo2 , OD ' 6. Let O be the centre of the circle , OD the perpendicular . Produce DO to meet the sphere in D ' . Let r , R be the radii of the circle and sphere . Then ...
Page 68
... conic whose focus is ( a , b ) directrix ar + By + y and eccentricity a2 + B2 . = = 0 , Now the necessary and sufficient conditions that two conics should be identical in magnitude and form are ( 1 ) the eccentricities must be equal ...
... conic whose focus is ( a , b ) directrix ar + By + y and eccentricity a2 + B2 . = = 0 , Now the necessary and sufficient conditions that two conics should be identical in magnitude and form are ( 1 ) the eccentricities must be equal ...
Page 69
... conic , and let SP , SQ make angles + a with the axis of x , a being constant . and Q intersect in R. Let the tangents at P The equation to RP is = e cos 0 + cos ( 0 ( ) ; 7 ° 99 " 9 RQ " - 2 ° - = e cose + cos ( 0 – $ .. at R , e cos + ...
... conic , and let SP , SQ make angles + a with the axis of x , a being constant . and Q intersect in R. Let the tangents at P The equation to RP is = e cos 0 + cos ( 0 ( ) ; 7 ° 99 " 9 RQ " - 2 ° - = e cose + cos ( 0 – $ .. at R , e cos + ...
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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