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 v
... Spherical Trigonometry 30 40 56 VI . Analytical Geometry 62 VII . Conic Sections 68 VIII . Differential Calculus 79 IX . Integral Calculus 98 X. Differential Equations 109 XI . Analytical Geometry of three dimensions 122 XII . Finite ...
... Spherical Trigonometry 30 40 56 VI . Analytical Geometry 62 VII . Conic Sections 68 VIII . Differential Calculus 79 IX . Integral Calculus 98 X. Differential Equations 109 XI . Analytical Geometry of three dimensions 122 XII . Finite ...
Σελίδα 55
... . 138. Compare numerically the areas of regular pentagons described in and about a circle ; and express the ratio in the form of a continued fraction . SECTION V. QUESTIONS IN SPHERICAL TRIGONOMETRY . 1821 1822 1824 PLANE TRIGONOMETRY . 55.
... . 138. Compare numerically the areas of regular pentagons described in and about a circle ; and express the ratio in the form of a continued fraction . SECTION V. QUESTIONS IN SPHERICAL TRIGONOMETRY . 1821 1822 1824 PLANE TRIGONOMETRY . 55.
Σελίδα 56
... spherical triangle , to find its surface . 2. In the solution of right - angled spherical triangles by Napier's rules , what cases are ambiguous ? 3. The hypothenuse of a right - angled triangle , whether plane or spherical , being ...
... spherical triangle , to find its surface . 2. In the solution of right - angled spherical triangles by Napier's rules , what cases are ambiguous ? 3. The hypothenuse of a right - angled triangle , whether plane or spherical , being ...
Σελίδα 57
... spherical triangle is 1825 greater than two right angles and less than six right angles . Required proof . 11. In a right - angled spherical triangle whereof c is the 1826 ... spherical triangle the sines SPHERICAL TRIGONOMETRY . 57.
... spherical triangle is 1825 greater than two right angles and less than six right angles . Required proof . 11. In a right - angled spherical triangle whereof c is the 1826 ... spherical triangle the sines SPHERICAL TRIGONOMETRY . 57.
Σελίδα 58
... spherical triangle , and a the side opposite to A , prove that cos α = cos A + cos B cos C sin B sin C 21. State Napier's rules for the solution of right - angled spherical triangles , and prove the two cases in which the com- plement ...
... spherical triangle , and a the side opposite to A , prove that cos α = cos A + cos B cos C sin B sin C 21. State Napier's rules for the solution of right - angled spherical triangles , and prove the two cases in which the com- plement ...
Άλλες εκδόσεις - Προβολή όλων
Mathematical Problems and Examples: Arranged According to Subjects, from the ... Πλήρης προβολή - 1837 |
Mathematical Problems and Examples: Arranged According to Subjects, From the ... University of Cambridge Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
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.