The Principles of the Solution of the Senate-house 'riders,' Exemplified by the Solution of Those Proposed in the Earlier Parts of the Examinations of the Years 1848-1851Macmillan & Company, 1851 - 116 sider |
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Side 6
... tangent to the second circle . 1848 . ( A ) . The angle at the centre of a circle is double of the angle at the circumference upon the same base ; that is , upon the same part of the circumference . ( III . 20. ) ( B ) . If two straight ...
... tangent to the second circle . 1848 . ( A ) . The angle at the centre of a circle is double of the angle at the circumference upon the same base ; that is , upon the same part of the circumference . ( III . 20. ) ( B ) . If two straight ...
Side 8
... tangent ; and on AB describe an equilateral triangle ABC . Bisect the angle BAC by the line AD . 1 < DAB = CAB . Then But CAB of 2 right angles ; ... DAB of 2 right angles ; ✩ .. DAG 1⁄2 of 2 right angles : whence But ZDAG 5 4 DAB ...
... tangent ; and on AB describe an equilateral triangle ABC . Bisect the angle BAC by the line AD . 1 < DAB = CAB . Then But CAB of 2 right angles ; ... DAB of 2 right angles ; ✩ .. DAG 1⁄2 of 2 right angles : whence But ZDAG 5 4 DAB ...
Side 13
... tangent at any point P of a parabola to make equal angles with the focal distance SP and the diameter at that point , prove that SY , the perpendicular upon it from the focus , meets it in the tangent at the vertex . ( B ) . If PM be ...
... tangent at any point P of a parabola to make equal angles with the focal distance SP and the diameter at that point , prove that SY , the perpendicular upon it from the focus , meets it in the tangent at the vertex . ( B ) . If PM be ...
Side 14
... tangent at P , meeting the minor axis produced in U , and PN be drawn perpen- dicular to the minor axis , then CN : CB :: CB : CU . ( B ) . If a series of ellipses be described having the same major axis , the tangents at the ...
... tangent at P , meeting the minor axis produced in U , and PN be drawn perpen- dicular to the minor axis , then CN : CB :: CB : CU . ( B ) . If a series of ellipses be described having the same major axis , the tangents at the ...
Side 15
... tangent in the circumference of a circle having the axis - major as diameter . ( B. ) Employ this proposition to ... tangent at P meet the tangent which is at right angles to it in Q , which latter tangent suppose intersects the circle ...
... tangent in the circumference of a circle having the axis - major as diameter . ( B. ) Employ this proposition to ... tangent at P meet the tangent which is at right angles to it in Q , which latter tangent suppose intersects the circle ...
Andre utgaver - Vis alle
The Principles of the Solution of Senate-house 'riders': Exemplified by the ... Francis James Jameson Uten tilgangsbegrensning - 1851 |
The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson Ingen forhåndsvisning tilgjengelig - 2018 |
The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
AC² AN.NM Arithmetic arithmetical progression axis bisects body C₁ Cambridge centre of gravity chord CHURCHILL BABINGTON circle cloth cone Conic Sections conjugate hyperbola constant curvature curve cycloid describe diameter direction directrix distance drawn Edition ellipse equations equilibrium Fellow of St fluid focus geometrical given point Hence horizontal hyperbola inches inclined inscribed John's College joining latus-rectum least common multiple Lemma length locus meet mirror move number of seconds oscillation parabola parallel parallelogram particle perpendicular plane polygon pressure prop proportional proposition prove pullies quadrilateral quantity radius ratio rays rectangle refraction right angles sewed shew sides specific gravity spherical square straight line string surface tan² tangent triangle ABC Trinity College tube V₁ vary vertex vertical W₁ weight
Populære avsnitt
Side 4 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part.
Side 6 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Side 11 - AB is a diameter, and P any point in the circumference of a circle; AP and BP are joined and produced if necessary ; if from any point C of AB, a perpendicular be drawn to AB meeting AP and .BP in points D and E respectively, and the circumference of the circle in a point F, shew that CD is a third proportional of CE and CF.
Side 9 - IF the angle of a triangle be divided into two equal angles, by a straight line which also cuts the base; the segments of the base shall have the same ratio which the other sides of the triangle have to one another...
Side 4 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.