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 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 15.
Σελίδα 1
... diameter bisects them . ( Euc . I. 34. ) ( B ) . If the opposite sides or the opposite angles of any quadrilateral ... diameters be drawn , shew that a paral- lelogram will be divided into four equal parts . * This question must be ...
... diameter bisects them . ( Euc . I. 34. ) ( B ) . If the opposite sides or the opposite angles of any quadrilateral ... diameters be drawn , shew that a paral- lelogram will be divided into four equal parts . * This question must be ...
Σελίδα 6
... diameter at right angles to it , each will be a 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 ...
... diameter at right angles to it , each will be a 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 ...
Σελίδα 8
... diameter of the circle , is constant ; therefore the area of the rectangle is proportional to BE , and is greatest when BE is greatest , i . e . when it coincides with GF . Hence the greatest rectangle inscribed in the circle is AGCH ...
... diameter of the circle , is constant ; therefore the area of the rectangle is proportional to BE , and is greatest when BE is greatest , i . e . when it coincides with GF . Hence the greatest rectangle inscribed in the circle is AGCH ...
Σελίδα 11
... diameter , and P any point in the cir- cumference of a circle ; AP and BP are joined and pro- duced if necessary : if from any point C of AB a per- pendicular be drawn to AB , meeting AP and BP in points D and E respectively , and the ...
... diameter , and P any point in the cir- cumference of a circle ; AP and BP are joined and pro- duced if necessary : if from any point C of AB a per- pendicular be drawn to AB , meeting AP and BP in points D and E respectively , and the ...
Σελίδα 13
... diameter at that point , prove that SY , the perpendicular upon it from the focus , meets it in the tangent at the ... diameter . Let PCP ' ( fig . 16 ) be any diameter . Join P and P ' with the foci . and Then , since two sides of a ...
... diameter at that point , prove that SY , the perpendicular upon it from the focus , meets it in the tangent at the ... diameter . Let PCP ' ( fig . 16 ) be any diameter . Join P and P ' with the foci . and Then , since two sides of a ...
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.