Weekly problem papers, with notes. [With] Solutions1885 |
Inni boken
Resultat 1-5 av 16
Side 39
... const . 7. Tripos 1875. Tuesday morning . No. 1 . П B C - PAPER XVIII . 1. Tripos 1875 . Monday afternoon . No. 3 . 2. Tripos 1875 . Monday afternoon . No. 3 . 3. Tripos 1875 . Monday afternoon . No. 8 . 4 . A B C + + 2 2 75 A = ; . : 2 ...
... const . 7. Tripos 1875. Tuesday morning . No. 1 . П B C - PAPER XVIII . 1. Tripos 1875 . Monday afternoon . No. 3 . 2. Tripos 1875 . Monday afternoon . No. 3 . 3. Tripos 1875 . Monday afternoon . No. 8 . 4 . A B C + + 2 2 75 A = ; . : 2 ...
Side 47
... const . Now - ( ax — By ) 2 + aẞ ( x + y ) 2 = ( a + B ) ( ax2 + By3 ) ; :: ax2 + By2 is a min . when ax - By = 0 ; i.e. when = B a .. the areas are as x2 to y2 , i.e. as ẞ2 to a2 . 3. The given expression - - y ) + sin WEEKLY PROBLEM ...
... const . Now - ( ax — By ) 2 + aẞ ( x + y ) 2 = ( a + B ) ( ax2 + By3 ) ; :: ax2 + By2 is a min . when ax - By = 0 ; i.e. when = B a .. the areas are as x2 to y2 , i.e. as ẞ2 to a2 . 3. The given expression - - y ) + sin WEEKLY PROBLEM ...
Side 61
... const . the locus of P is a segment of a circle on FF ' . 6. Let S be a fixed point on the circumference of a circle , and AB a chord which subtends half a right angle at S. Then it is clear that AB always touches a circle concentric ...
... const . the locus of P is a segment of a circle on FF ' . 6. Let S be a fixed point on the circumference of a circle , and AB a chord which subtends half a right angle at S. Then it is clear that AB always touches a circle concentric ...
Side 89
... const . H'P НР = const . H'H H'P ellipse . = const . .. the locus of H is an ellipse similar to the fixed 7. Let ( x1 , y1 ) , ( X , Y2 ) , ( X3 , Y3 ) be the feet of the normals from the point y = - ( a − x ) . ( 1 ) Ρ P ( a , B ) ...
... const . H'P НР = const . H'H H'P ellipse . = const . .. the locus of H is an ellipse similar to the fixed 7. Let ( x1 , y1 ) , ( X , Y2 ) , ( X3 , Y3 ) be the feet of the normals from the point y = - ( a − x ) . ( 1 ) Ρ P ( a , B ) ...
Side 94
... const . 7. Draw CM , ON perpendicular to PQ . The equation to PQ is xh yk + a2 - -1 = = 0 . a474 .. CM2 = h2ba + k2a ( b2h2 + a2k2 — a2b2 ) ( b + h2 + aa3 ) . XXXIV . , 7 . ( b2h2 + a2k2 ) 2 and PQ = 4 . .. area CPQ = CM . PQ = - a2b2 ...
... const . 7. Draw CM , ON perpendicular to PQ . The equation to PQ is xh yk + a2 - -1 = = 0 . a474 .. CM2 = h2ba + k2a ( b2h2 + a2k2 — a2b2 ) ( b + h2 + aa3 ) . XXXIV . , 7 . ( b2h2 + a2k2 ) 2 and PQ = 4 . .. area CPQ = CM . PQ = - a2b2 ...
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
Populære avsnitt
Side 17 - ON SOUND AND ATMOSPHERIC VIBRATIONS. With the Mathematical Elements of Music. Designed for the Use of Students in the University. Second Edition, revised and enlarged. Crown 8vo.
Side 16 - Wilson (WP).— A TREATISE ON DYNAMICS. By W. P. WILSON, MA, Fellow of St. John's College, Cambridge, and Professor of Mathematics in Queen's College, Belfast. 8vo.
Side 7 - Prize Essay for 1877. 8vC. &r. 6d. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Side 16 - SOLID GEOMETRY AND CONIC SECTIONS. With Appendices on Transversals and Harmonic Division. For the Use of Schools. By JM WILSON, MA New Edition.
Side 16 - MATHEMATICAL PROBLEMS, on Subjects included in the First and Second Divisions of the Schedule of Subjects for the Cambridge Mathematical Tripos Examination. Devised and arranged by JOSEPH WOLSTENHOLME, late Fellow of Christ's College, sometime Fellow of St.
Side 15 - PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples. New Edition, revised and enlarged.
Side 13 - Puckle.— AN ELEMENTARY TREATISE ON CONIC SECTIONS AND ALGEBRAIC GEOMETRY. With Numerous Examples and Hints for their Solution ; especially designed for the Use of Beginners. By GH PUCKLE, MA Fifth Edition, revised and enlarged.
Side 9 - BOOLE— Works by G. BOOLE, DCL, FRS, late Professor of Mathematics in the Queen's University, Ireland. A TREATISE ON DIFFERENTIAL EQUATIONS. Third and Revised Edition.
Side 24 - Schorlemmer. — A MANUAL OF THE CHEMISTRY OF THE CARBON COMPOUNDS, OR ORGANIC CHEMISTRY. By C. SCHORLEMMER, FRS, Professor of Chemistry in the Victoria University the Owens College, Manchester. With Illustrations. 8vo. 14^.