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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Resultater 1-5 af 47
Side vii
... prove that it α will vary as when both ( a ) and ( b ) are variable . b ' Ex . If 5 men and 7 boys can reap a field of corn of 125 acres in 15 days ; in how many days will 10 men and 3 boys reap a field of corn of 75 acres , each boy's ...
... prove that it α will vary as when both ( a ) and ( b ) are variable . b ' Ex . If 5 men and 7 boys can reap a field of corn of 125 acres in 15 days ; in how many days will 10 men and 3 boys reap a field of corn of 75 acres , each boy's ...
Side 5
... proved that square on BH rectangle AC . We thus have suggested the following solution of ( B ) : Let AB be the given side of the rectangle : draw BH at right angles to AB , equal to a side of the given square . Join AH ; make AHE ...
... proved that square on BH rectangle AC . We thus have suggested the following solution of ( B ) : Let AB be the given side of the rectangle : draw BH at right angles to AB , equal to a side of the given square . Join AH ; make AHE ...
Side 10
... prove that the rectangle contained by the segments of any chord 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 ...
... prove that the rectangle contained by the segments of any chord 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 ...
Side 12
... Prove that equal right lines drawn from a given point to a given plane are equally inclined to the plane . Let P be the given point ; PA , PA ' , two equal straight lines drawn from P to meet the plane . As in ( A ) draw a perpen ...
... Prove that equal right lines drawn from a given point to a given plane are equally inclined to the plane . Let P be the given point ; PA , PA ' , two equal straight lines drawn from P to meet the plane . As in ( A ) draw a perpen ...
Side 13
... prove that SY , the perpendicular upon it from the focus , meets it in the tangent at the vertex . ( B ) . If PM be the ordinate at P , and T the intersection of the tangent at P with the axis , TP.TY TM.TS. Since , by ( 4 ) , SYT ( fig ...
... prove that SY , the perpendicular upon it from the focus , meets it in the tangent at the vertex . ( B ) . If PM be the ordinate at P , and T the intersection of the tangent at P with the axis , TP.TY TM.TS. Since , by ( 4 ) , SYT ( fig ...
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The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson Ingen forhåndsvisning - 2018 |
The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson Ingen forhåndsvisning - 2015 |
Almindelige termer og sætninger
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 passager
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.