Weekly problem papers, with notes. [With] Solutions1885 |
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Side vi
... envelope of a line which moves subject to certain 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 ...
... envelope of a line which moves subject to certain 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 ...
Side 22
... envelope we must express the 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 ...
... envelope we must express the 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 ...
Side 23
... envelope of a line through R perpendicular to PB . Describe a circle so as to touch OA in O and pass through B. Let BE be the diameter through B , so that E is a fixed point . Join PE cutting the circle in Q. Then BQE is a right angle ...
... envelope of a line through R perpendicular to PB . Describe a circle so as to touch OA in O and pass through B. Let BE be the diameter through B , so that E is a fixed point . Join PE cutting the circle in Q. Then BQE is a right angle ...
Side 69
... envelope of the chord of contact of tangents to a circle which cut at a constant angle is a concentric circle . ' 7. Let the plane of the paper represent the section of the cone made by a plane containing the axis . Let BC , DE be the ...
... envelope of the chord of contact of tangents to a circle which cut at a constant angle is a concentric circle . ' 7. Let the plane of the paper represent the section of the cone made by a plane containing the axis . Let BC , DE be the ...
Side 136
... envelope of MN is a parabola having H for focus and AM for tangent at the vertex . 1. ( 1 ) PAPER LVII . is is S = 6+ 7+ 18 + 45 + 94 + S1 = 1 +11 +27 +49 + 171 + ... 77 + ... S2 = 10+ 16 +22 + 28 + ... S3 = 6+ 6+ 6+ ... IIere the 3rd ...
... envelope of MN is a parabola having H for focus and AM for tangent at the vertex . 1. ( 1 ) PAPER LVII . is is S = 6+ 7+ 18 + 45 + 94 + S1 = 1 +11 +27 +49 + 171 + ... 77 + ... S2 = 10+ 16 +22 + 28 + ... S3 = 6+ 6+ 6+ ... IIere the 3rd ...
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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