Mathematical Problems and Examples, Arranged According to Subjects, from the Senate-House Examination Papers, 1821 to 1836 InclusiveW.P. Grant, 1836 - 335 σελίδες |
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Σελίδα i
... observe , that they appear to have been in equal esteem with the learned and unlearned , though professedly addressed to the latter class . Bishop Tomline , to whom they are inscribed , and into whose hands they came anonymously ...
... observe , that they appear to have been in equal esteem with the learned and unlearned , though professedly addressed to the latter class . Bishop Tomline , to whom they are inscribed , and into whose hands they came anonymously ...
Σελίδα v
... . Hydrostatics and the Theory of Sound 264 XIX . Optics and the Theory of Light 285 XX . Attractions , Tides , Figure of the Earth , & c . 310 XXI . Miscellaneous Questions 321 PREFACE . IT is scarce necessary to observe , that.
... . Hydrostatics and the Theory of Sound 264 XIX . Optics and the Theory of Light 285 XX . Attractions , Tides , Figure of the Earth , & c . 310 XXI . Miscellaneous Questions 321 PREFACE . IT is scarce necessary to observe , that.
Σελίδα vii
PREFACE . IT is scarce necessary to observe , that during the student's preparation for mathematical honors in the University of Cambridge , he is obliged to have frequent recourse to papers of examination ques- tions , in order to ...
PREFACE . IT is scarce necessary to observe , that during the student's preparation for mathematical honors in the University of Cambridge , he is obliged to have frequent recourse to papers of examination ques- tions , in order to ...
Σελίδα 47
... observed to be 135 ° . Find the height of the mountain in yards . 80. An indefinite area is to be divided into similar and equal regular figures . Shew by what figures this can be done . Also , if three equal areas be divided into the ...
... observed to be 135 ° . Find the height of the mountain in yards . 80. An indefinite area is to be divided into similar and equal regular figures . Shew by what figures this can be done . Also , if three equal areas be divided into the ...
Σελίδα 48
... observations made at two stations , the distance between which is known . + = 86. Solve the cubic x3 + qxr0 by trigonometrical formulæ , in the case in which the three roots are possible . 87. If a straight line bisect at right angles ...
... observations made at two stations , the distance between which is known . + = 86. Solve the cubic x3 + qxr0 by trigonometrical formulæ , in the case in which the three roots are possible . 87. If a straight line bisect at right angles ...
Συχνά εμφανιζόμενοι όροι και φράσεις
acted altitude angular apply attraction axes axis body centre of force centre of gravity chord circle coefficients cone conic section coordinates curvature cycloid cylinder density described determine diameter direction distance drawn earth eccentricity ecliptic ellipse equal equilibrium Explain Find the equation fixed fluid focus force varying geometrical given angle given point given velocity horizontal plane hyperbola inclined Integrate intersection Investigate latitude latus rectum length lens locus logarithmic longitude meridian moon moon's motion Newton nodes orbit oscillation parabola parallel particle passing perpendicular plane triangle position pressure projected Prop prove quantity ratio rays refraction revolving right angles right ascension roots shew sides sin² sine solid of revolution specific gravity sphere spherical reflector spherical triangle spheroid square straight line string surface tangent Trace the curve true anomaly varies inversely vertex vertical weight
Δημοφιλή αποσπάσματα
Σελίδα 3 - ... cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Σελίδα 280 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed.
Σελίδα 126 - If two straight lines meeting one another, be parallel to two straight lines which also meet one another, but are not in the same plane with the first two : the plane which passes through the first two is parallel to the plane passing through the others.
Σελίδα 2 - IN right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle...
Σελίδα 2 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.
Σελίδα 255 - If a body be projected from a given point in a given direction with a given velocity...
Σελίδα 4 - If a solid angle be contained by three plane angles, any two of them are greater than the third.
Σελίδα 157 - To find the magnitude, direction, and point of application of the resultant of any number of parallel forces acting on a rigid body in one plane.
Σελίδα 7 - A and B can do a piece of work in m days, B and C in n days, and C and A in p days. In what time can each alone jjerform the work ? 39.
Σελίδα 314 - ... varies inversely as the square of the distance of the particle from the centre.