Military examinations. Mathematical examination papers, set for entrance to R.M.A., Woolwich, with answers, by W.F. Austin |
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Αποτελέσματα 1 - 5 από τα 57.
Σελίδα 5
... Define the three progressions , Arithmetical , Geometrical , Har- monical ; and show that the three equations following severally determine for the three quantities ( a ) ( b ) ( c ) the conditions of each progression : - a b b - C a α ...
... Define the three progressions , Arithmetical , Geometrical , Har- monical ; and show that the three equations following severally determine for the three quantities ( a ) ( b ) ( c ) the conditions of each progression : - a b b - C a α ...
Σελίδα 8
... Define a logarithm , and prove that log N = log , N log a Prove that if log.b = m and log , a 2 log.m m = Login n = n , then 5. Find the expansion of log . ( 1 + x ) in ascending powers of x . Prove that the coefficient of x " in the ...
... Define a logarithm , and prove that log N = log , N log a Prove that if log.b = m and log , a 2 log.m m = Login n = n , then 5. Find the expansion of log . ( 1 + x ) in ascending powers of x . Prove that the coefficient of x " in the ...
Σελίδα 12
... Define a differential coefficient , and from your definition find the differential coefficient of a quotient of one given function of x divided by another . Find also , from first principles , the differential coefficients of logx and ...
... Define a differential coefficient , and from your definition find the differential coefficient of a quotient of one given function of x divided by another . Find also , from first principles , the differential coefficients of logx and ...
Σελίδα 14
... Define a couple , and the moment of a couple . Prove that the effect of a couple is not altered if its arm be turned about one end on the plane of the couple through any angle . Find the resultant of any number of couples acting in one ...
... Define a couple , and the moment of a couple . Prove that the effect of a couple is not altered if its arm be turned about one end on the plane of the couple through any angle . Find the resultant of any number of couples acting in one ...
Σελίδα 15
Woolwich roy. military acad, Walter Ferrier Austin. 9. Define the horse - power of an engine . An engine is required to raise a weight of a ton from a depth of 150 fathoms in five minutes ; what is its horse - power ? 10. Find the ratio ...
Woolwich roy. military acad, Walter Ferrier Austin. 9. Define the horse - power of an engine . An engine is required to raise a weight of a ton from a depth of 150 fathoms in five minutes ; what is its horse - power ? 10. Find the ratio ...
Άλλες εκδόσεις - Προβολή όλων
Military Examinations. Mathematical Examination Papers, Set for Entrance to ... Woolwich Roy Military Acad Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acceleration ALGEBRA arithmetic axes axis ball base binomial theorem bisected body centre of gravity chord circular measure cone continued fraction cos² curve Define described diameter differential coefficient distance drawn elastic ellipse equiangular equilateral equilibrium Find an expression Find the equation Find the number Find the sum find the value find the velocity forces acting fraction geometrical given straight line harmonic mean horizontal plane hyperbola inclined plane inscribed intersect least common multiple length magnitude middle points number of combinations parabola parallel parallelogram particle pendulum perpendicular positive integer produced pulley PURE MATHEMATICS quadrilateral radius ratio rectangle contained rectangular right angles roots segments sin² sliding smooth solid angle Solve the equation sphere square STATICS string tan-¹ tangent theorem things taken triangle ABC TRIGONOMETRY vertex weight
Δημοφιλή αποσπάσματα
Σελίδα 34 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Σελίδα 146 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Σελίδα 99 - IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line.
Σελίδα 34 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Σελίδα 82 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, is equal to the square of the line which touches it.
Σελίδα 50 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 2 - AB be the given straight line ; it is required to divide it 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 114 - ... the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse...
Σελίδα 18 - If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other.
Σελίδα 130 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.