Military examinations. Mathematical examination papers, set for entrance to R.M.A., Woolwich, with answers, by W.F. Austin |
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Side 8
... perpendicular from the focus on any tangent to a parabola lies on the tangent at the vertex . A long rectangular slip of paper is folded so that one of the corners always lies on the opposite side . Prove that the crease always touches ...
... perpendicular from the focus on any tangent to a parabola lies on the tangent at the vertex . A long rectangular slip of paper is folded so that one of the corners always lies on the opposite side . Prove that the crease always touches ...
Side 9
... perpendicular from the focus on the tangent lies on the circle whose diameter is the transverse axis . What portion of this circle corresponds to either branch of the hyperbola ? 12. Show how to pass from one set of rectangular axes to ...
... perpendicular from the focus on the tangent lies on the circle whose diameter is the transverse axis . What portion of this circle corresponds to either branch of the hyperbola ? 12. Show how to pass from one set of rectangular axes to ...
Side 13
... perpendicular from the pole upon the tangent , ( 2 ) For the radius of curvature , at any point of a curve referred to polar co - ordinates . If S be the pole , Y the foot of the perpendicular ( p ) from S on the tangent PY at P , and 4 ...
... perpendicular from the pole upon the tangent , ( 2 ) For the radius of curvature , at any point of a curve referred to polar co - ordinates . If S be the pole , Y the foot of the perpendicular ( p ) from S on the tangent PY at P , and 4 ...
Side 25
... perpendicular to the directrix : Prove- ( 1. ) PT bisects the angle SPQ . ( 2. ) The quadrilateral SPQT is a rhombus . 9. Prove that the perpendiculars drawn from the foci of an ellipse on a tangent at any point intersect the tangent in ...
... perpendicular to the directrix : Prove- ( 1. ) PT bisects the angle SPQ . ( 2. ) The quadrilateral SPQT is a rhombus . 9. Prove that the perpendiculars drawn from the foci of an ellipse on a tangent at any point intersect the tangent in ...
Side 48
... perpendicular to a given diameter YOY ' , and show that the motion of the particle rela- tive to YOY ' is the same as that of a particle moving in a diameter at right angles to YOY ' under the action of a force to O , varying as the ...
... perpendicular to a given diameter YOY ' , and show that the motion of the particle rela- tive to YOY ' is the same as that of a particle moving in a diameter at right angles to YOY ' under the action of a force to O , varying as the ...
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Military Examinations. Mathematical Examination Papers, Set for Entrance to ... Woolwich Roy Military Acad Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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...
Side 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.
Side 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.