Weekly problem papers, with notes. [With] Solutions1885 |
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Side vi
... conditions . The problems bearing upon these two subjects are extremely interesting , although hints as to their treatment are seldom to be met with . My thanks are due to my former pupils and to my other friends who have rendered me ...
... conditions . The problems bearing upon these two subjects are extremely interesting , although hints as to their treatment are seldom to be met with . My thanks are due to my former pupils and to my other friends who have rendered me ...
Side 12
... condition holds , the expressions are equal when a and c are interchanged . For a + bc - a2 a2 + b2 + c2 - - ( c + ab c2 a2 + b2 + bc - ab = a - c + = ( a = 0 . - - - ( a2 c2 ) - a2 + b2 + c2 a + b + c a2 + b2 + c2 ! Also , if a + b + c ...
... condition holds , the expressions are equal when a and c are interchanged . For a + bc - a2 a2 + b2 + c2 - - ( c + ab c2 a2 + b2 + bc - ab = a - c + = ( a = 0 . - - - ( a2 c2 ) - a2 + b2 + c2 a + b + c a2 + b2 + c2 ! Also , if a + b + c ...
Side 13
... conditions is = ( x - a cos 0 ) 2 + ( y- b sin 6 ) 2 : ( x cos ay sin a - p ) 2 . If y = 0 , x = - 62. This gives us ... a cos e = p cos a - and ( a2 b2 ) sin 2a = p2 - a2 cos 20 b2 sin 20 , .. eliminating p we have ( a2 sin 2a + b2 cos ...
... conditions is = ( x - a cos 0 ) 2 + ( y- b sin 6 ) 2 : ( x cos ay sin a - p ) 2 . If y = 0 , x = - 62. This gives us ... a cos e = p cos a - and ( a2 b2 ) sin 2a = p2 - a2 cos 20 b2 sin 20 , .. eliminating p we have ( a2 sin 2a + b2 cos ...
Side 22
... condition that this equation in h should have equal roots . . ' . ( x + § ) 2 = 4 cos2a ( x§ + yn ) which is the equation to a parabola . : - * This question may also be solved geometrically as follows : - Let OL , OL ' be the two given ...
... condition that this equation in h should have equal roots . . ' . ( x + § ) 2 = 4 cos2a ( x§ + yn ) which is the equation to a parabola . : - * This question may also be solved geometrically as follows : - Let OL , OL ' be the two given ...
Side 34
... conditions . For in the triangles B'EC , ADD ' , AD is equal and parallel to EC ' , for each is equal and parallel to BC ; and AD ' is equal and parallel to B'C ' , .. B'E is equal and parallel to DD . 6. Let TP , TP ' be the tangents ...
... conditions . For in the triangles B'EC , ADD ' , AD is equal and parallel to EC ' , for each is equal and parallel to BC ; and AD ' is equal and parallel to B'C ' , .. B'E is equal and parallel to DD . 6. Let TP , TP ' be the tangents ...
Vanlige uttrykk og setninger
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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