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 32.
Σελίδα 3
... opposite to the equal angles are homologous sides , that is , are the antece- dents or the consequents of the ratios . The chords AB and CD in the circle ABCD are produced towards B and D respectively to meet in the point E , and ...
... opposite to the equal angles are homologous sides , that is , are the antece- dents or the consequents of the ratios . The chords AB and CD in the circle ABCD are produced towards B and D respectively to meet in the point E , and ...
Σελίδα 8
... opposite side . Prove that the crease always touches a parabola of which the aforesaid side is the directrix . 10. In the ellipse prove that if CP and CD be conjugate semi- diameters CP ” ? + CD = CA * + CB ” . CA2 ( 9 ) 11. In the ...
... opposite side . Prove that the crease always touches a parabola of which the aforesaid side is the directrix . 10. In the ellipse prove that if CP and CD be conjugate semi- diameters CP ” ? + CD = CA * + CB ” . CA2 ( 9 ) 11. In the ...
Σελίδα 14
... opposite sides meet in the point T , and O is the centre of the circle circumscribing the triangle ; prove that if three forces acting at a point be represented in magnitude and direction by the lines AT , BT , and CT , their resultant ...
... opposite sides meet in the point T , and O is the centre of the circle circumscribing the triangle ; prove that if three forces acting at a point be represented in magnitude and direction by the lines AT , BT , and CT , their resultant ...
Σελίδα 26
... opposite sides is equal to three - fourths of the sum of the squares of the sides of the triangle . 2. Given one side of a triangle , the angle opposite to that side and the point at which the inscribed circle touches that side ; con ...
... opposite sides is equal to three - fourths of the sum of the squares of the sides of the triangle . 2. Given one side of a triangle , the angle opposite to that side and the point at which the inscribed circle touches that side ; con ...
Σελίδα 27
... opposite sides of BC one of the sides of the triangle ABC . Prove that AD2 + AE2 = AB2 + AC2 + BC2 . 15. If in the triangle ABC the angle A be three times the angle B , prove that sin B = 1 2 3b b - a 16. Prove that y log ( x + y ...
... opposite sides of BC one of the sides of the triangle ABC . Prove that AD2 + AE2 = AB2 + AC2 + BC2 . 15. If in the triangle ABC the angle A be three times the angle B , prove that sin B = 1 2 3b b - a 16. Prove that y log ( x + y ...
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.