Weekly problem papers, with notes. [With] Solutions1885 |
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Page 10
... directions pass :: sin EOF : sin FOD : sin DOE ..the forces are in equilibrium . 5. It is true that one of the values of e2nn√ is cos 2nπ + - 1 sin 2nπ - and that one of the values of each of these expressions is unity , .. one of the ...
... directions pass :: sin EOF : sin FOD : sin DOE ..the forces are in equilibrium . 5. It is true that one of the values of e2nn√ is cos 2nπ + - 1 sin 2nπ - and that one of the values of each of these expressions is unity , .. one of the ...
Page 51
... direction . = = supplement of ASP = ARP Join QC , CQ ' . Then the angle QCA supplement of ARQ = supplement of ACQ . . : ACQ + ACQ = 2 right angles ... QC and CQ are in one straight line . . : AB , RS , and QQ are concurrent . 6. Tripos ...
... direction . = = supplement of ASP = ARP Join QC , CQ ' . Then the angle QCA supplement of ARQ = supplement of ACQ . . : ACQ + ACQ = 2 right angles ... QC and CQ are in one straight line . . : AB , RS , and QQ are concurrent . 6. Tripos ...
Page 143
... direction of its axis . See Errata . 7. Let ( a cos a , b sin a ) be the coordinates of P. Then those of p are ( a cos a , a sin a ) . The equation of CP is y 99 = b a a tan a . auxiliary circle is x2 + y2 = a2 , Չ .. by substitution ...
... direction of its axis . See Errata . 7. Let ( a cos a , b sin a ) be the coordinates of P. Then those of p are ( a cos a , a sin a ) . The equation of CP is y 99 = b a a tan a . auxiliary circle is x2 + y2 = a2 , Չ .. by substitution ...
Page 155
... direction of R meet the verticals through E and K in G and H. Then from the equilibrium of AB , R : W :: sin EGF : sin BGF :: sina : cos ( a + B ) . From the equilibrium of BC , R : W :: sin KHC : sin BHC :: cosß : sin 23 :: 1 : 2 sin ß ...
... direction of R meet the verticals through E and K in G and H. Then from the equilibrium of AB , R : W :: sin EGF : sin BGF :: sina : cos ( a + B ) . From the equilibrium of BC , R : W :: sin KHC : sin BHC :: cosß : sin 23 :: 1 : 2 sin ß ...
Page 158
... direction of the tangent at P ... FP is the normal . .. SF : SP :: SA : AX , : . SP 1 = = SF . e 6. Suppose the weight of the triangle to be represented by a + b + c . Then of this is supported at each angular point , and at these ...
... direction of the tangent at P ... FP is the normal . .. SF : SP :: SA : AX , : . SP 1 = = SF . e 6. Suppose the weight of the triangle to be represented by a + b + c . Then of this is supported at each angular point , and at these ...
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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