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 σελίδες |
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Αποτελέσματα 1 - 5 από τα 25.
Σελίδα 10
... passing through a given point within a circle is constant . Let AB , CD ( fig . 13 ) be any two chords of a circle inter- secting in O. Join BC , AD . Since the angles in the same segment of a circle are equal , ZABC = < ADC , and BCD ...
... passing through a given point within a circle is constant . Let AB , CD ( fig . 13 ) be any two chords of a circle inter- secting in O. Join BC , AD . Since the angles in the same segment of a circle are equal , ZABC = < ADC , and BCD ...
Σελίδα 19
... pass through the focus , and by ( A ) its length will = 4SP = TQ . * See Goodwin , as above , prop . vII . , where it is proved that the asymp- totes are the diagonals of a rectangle whose sides are the major and minor axes . C2 But PQ ...
... pass through the focus , and by ( A ) its length will = 4SP = TQ . * See Goodwin , as above , prop . vII . , where it is proved that the asymp- totes are the diagonals of a rectangle whose sides are the major and minor axes . C2 But PQ ...
Σελίδα 20
... passes through the focus . * 1850 . ( A ) . Find the diameter of curvature at any point of an ellipse . ( B ) . If an ellipse , a parabola , and a hyperbola have a common tangent and the same curvature at the vertex , the ellipse will ...
... passes through the focus . * 1850 . ( A ) . Find the diameter of curvature at any point of an ellipse . ( B ) . If an ellipse , a parabola , and a hyperbola have a common tangent and the same curvature at the vertex , the ellipse will ...
Σελίδα 43
... passing through the summit , and the summit ( S ) is ob- served from the further station , but a lower point ( S ) is observed by mistake from the nearer , shew that the height determined by the process lies between the heights of S and ...
... passing through the summit , and the summit ( S ) is ob- served from the further station , but a lower point ( S ) is observed by mistake from the nearer , shew that the height determined by the process lies between the heights of S and ...
Σελίδα 45
... pass through a point ; and in both cases , shew that any two of the forces are inversely proportional to the perpendiculars drawn on their respective lines of action from any point in the line of action of the third . ( B ) . An uniform ...
... pass through a point ; and in both cases , shew that any two of the forces are inversely proportional to the perpendiculars drawn on their respective lines of action from any point in the line of action of the third . ( B ) . An uniform ...
Άλλες εκδόσεις - Προβολή όλων
The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.