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 vii
... question solved is a rider ; and in several , a few observations have been made upon the pro- position , which appeared necessary in order to connect it with the question appended . At the end of the book INTRODUCTION . vii.
... question solved is a rider ; and in several , a few observations have been made upon the pro- position , which appeared necessary in order to connect it with the question appended . At the end of the book INTRODUCTION . vii.
Side 8
... position that , " if from a point in a circle two lines be drawn , one touching and the other cutting the circle , the angle between them is equal to the angle in the alternate segment of the circle . " ( B ) may be regarded as a direct ...
... position that , " if from a point in a circle two lines be drawn , one touching and the other cutting the circle , the angle between them is equal to the angle in the alternate segment of the circle . " ( B ) may be regarded as a direct ...
Side 14
... position of P is the angle SPH greatest ? By ( A ) , ( fig . 17 ) , △ SPH + 24 SPT = 2 right angles . Therefore SPH is greatest when SPT is least . Now as P moves from A to B , 4SPT decreases from a right angle to SBt ( where Bt || CT ) ...
... position of P is the angle SPH greatest ? By ( A ) , ( fig . 17 ) , △ SPH + 24 SPT = 2 right angles . Therefore SPH is greatest when SPT is least . Now as P moves from A to B , 4SPT decreases from a right angle to SBt ( where Bt || CT ) ...
Side 16
... ' . 1234 1 2 3 4 Now DD ' is the least possible value of dd ' ; therefore area of tttt is always greater than that of T , T , T , T , 1 2 4 . But by ( 4 ) , in whatever position the 16 SOLUTIONS OF SENATE - HOUSE RIDERS . '
... ' . 1234 1 2 3 4 Now DD ' is the least possible value of dd ' ; therefore area of tttt is always greater than that of T , T , T , T , 1 2 4 . But by ( 4 ) , in whatever position the 16 SOLUTIONS OF SENATE - HOUSE RIDERS . '
Side 17
Francis James Jameson. But by ( 4 ) , in whatever position the conjugate diameters CP , CD are drawn , the area TTTT is constant . Con- sequently of the areas of all parallelograms circumscribing the ellipse , this constant area is the ...
Francis James Jameson. But by ( 4 ) , in whatever position the conjugate diameters CP , CD are drawn , the area TTTT is constant . Con- sequently of the areas of all parallelograms circumscribing the ellipse , this constant area is the ...
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The Principles of the Solution of Senate-house 'riders': Exemplified by the ... Francis James Jameson Uten tilgangsbegrensning - 1851 |
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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.