Weekly problem papers, with notes. [With] Solutions1885 |
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Resultat 1-5 av 22
Side 23
... focus , and YZ the tangent at the vertex . The property here employed is the useful converse of the proposition that the foot of the perpendicular from the focus on any tangent to a parabola lies on the tangent at the vertex . 1 . PAPER ...
... focus , and YZ the tangent at the vertex . The property here employed is the useful converse of the proposition that the foot of the perpendicular from the focus on any tangent to a parabola lies on the tangent at the vertex . 1 . PAPER ...
Side 32
... focus on any tangent and the diameter through the point of contact intersect on the directrix . ' Draw SY perpendicular to the tangent at P and produce ST to meet the directrix in D. Draw the tangents DQ , DQ ' . Then since the ...
... focus on any tangent and the diameter through the point of contact intersect on the directrix . ' Draw SY perpendicular to the tangent at P and produce ST to meet the directrix in D. Draw the tangents DQ , DQ ' . Then since the ...
Side 40
... focus corresponding to the position KK ' . SA + SB = AKBK ' : = 2CX constant . . the locus of S is an ellipse having A , B for foci . 7. Tripos 1875. Tuesday morning . No. 2 . PAPER XIX . 1. ( a + b ) 3 ( a + b ) = ( a3 + 3a2b + 3ab2 + ...
... focus corresponding to the position KK ' . SA + SB = AKBK ' : = 2CX constant . . the locus of S is an ellipse having A , B for foci . 7. Tripos 1875. Tuesday morning . No. 2 . PAPER XIX . 1. ( a + b ) 3 ( a + b ) = ( a3 + 3a2b + 3ab2 + ...
Side 43
... focus . Draw SD and SE perpendicular to PQ , PR . Then DE is the tangent at the vertex , and SA , perpendicular to DE , is the axis , and the parabola can be described . X 1. For a write tan A , & c . PAPER XXII . ..tan Atan B + tan C ...
... focus . Draw SD and SE perpendicular to PQ , PR . Then DE is the tangent at the vertex , and SA , perpendicular to DE , is the axis , and the parabola can be described . X 1. For a write tan A , & c . PAPER XXII . ..tan Atan B + tan C ...
Side 68
... 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 ; ( 2 ) the ...
... 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 ; ( 2 ) the ...
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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