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 xi
... result , must at once be apparent to any one ac- quainted with the mathematical sciences ; and the vast range which these sciences have at present attained , renders great care necessary in selecting the questions , so as to give no ...
... result , must at once be apparent to any one ac- quainted with the mathematical sciences ; and the vast range which these sciences have at present attained , renders great care necessary in selecting the questions , so as to give no ...
Σελίδα xvi
... result from their being still further acted upon , will be deemed a sufficient excuse for his offering the above observa- tions on the subject . EXAMINATION QUESTIONS . SECTION I. QUESTIONS IN EUCLID . 1. xvi PREFACE .
... result from their being still further acted upon , will be deemed a sufficient excuse for his offering the above observa- tions on the subject . EXAMINATION QUESTIONS . SECTION I. QUESTIONS IN EUCLID . 1. xvi PREFACE .
Σελίδα 10
... result is divisible by 11 . 61. The difference of the means of four numbers in geome- trical progression is 2 and the difference of the extremes is 7 . Required the numbers . 62. The present value of an annunity of £ 1 . to continue x ...
... result is divisible by 11 . 61. The difference of the means of four numbers in geome- trical progression is 2 and the difference of the extremes is 7 . Required the numbers . 62. The present value of an annunity of £ 1 . to continue x ...
Σελίδα 15
... result is divisible by 3 . 117. Reduce 1 + b = 1 to the form of a + ẞ√1 . 118. If n be greater than 3 , shew that √n > n + 1 . 119. Prove the rule for transforming a number from one scale of notation to another . Transform 1828 to ...
... result is divisible by 3 . 117. Reduce 1 + b = 1 to the form of a + ẞ√1 . 118. If n be greater than 3 , shew that √n > n + 1 . 119. Prove the rule for transforming a number from one scale of notation to another . Transform 1828 to ...
Σελίδα 17
... result . 143. Solve the following equations : √x + 16 = 2 + √x , ( 1 ) x3 + y3 = 10011 ( 2 ) x + y = 11 j ' m - ( 3 ) * / ( 1 + x ) 2 - " / ( I — x ) 2 = " / 1 — x2 . - 144. The coefficients of the terms of an expanded binomial are ...
... result . 143. Solve the following equations : √x + 16 = 2 + √x , ( 1 ) x3 + y3 = 10011 ( 2 ) x + y = 11 j ' m - ( 3 ) * / ( 1 + x ) 2 - " / ( I — x ) 2 = " / 1 — x2 . - 144. The coefficients of the terms of an expanded binomial are ...
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.