Military examinations. Mathematical examination papers, set for entrance to R.M.A., Woolwich, with answers, by W.F. Austin |
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Página 2
... straight line be divided into two equal parts and also into two unequal parts , the rectangle contained by the unequal parts , together with the square on the line between the points of section , is equal to the square on half the line ...
... straight line be divided into two equal parts and also into two unequal parts , the rectangle contained by the unequal parts , together with the square on the line between the points of section , is equal to the square on half the line ...
Página 3
... line EF is drawn parallel to AD to meet CB produced in F. Prove that EF is a mean proportional between FB and FC . 10. If four straight lines be proportionals the similar rectilinear figures similarly described upon them shall be ...
... line EF is drawn parallel to AD to meet CB produced in F. Prove that EF is a mean proportional between FB and FC . 10. If four straight lines be proportionals the similar rectilinear figures similarly described upon them shall be ...
Página 14
... lines AT , BT , and CT , their resultant is represented in magnitude and direction by twice the line OT . 5. It is ... straight rod , one foot in length , and weighing one ounce , has an ounce of lead fastened to it at one end , and ...
... lines AT , BT , and CT , their resultant is represented in magnitude and direction by twice the line OT . 5. It is ... straight rod , one foot in length , and weighing one ounce , has an ounce of lead fastened to it at one end , and ...
Página 18
... straight lines , but any two whatever of these must be greater than the third . How would the process fail if the ... line , the square on which shall be any given multiple of a given square . 4. If a straight line be bisected and ...
... straight lines , but any two whatever of these must be greater than the third . How would the process fail if the ... line , the square on which shall be any given multiple of a given square . 4. If a straight line be bisected and ...
Página 19
... straight line which also cuts the base , the segments of the base shall have the same ratio which the other sides of ... straight lines be proportionals , the rectangle contained by the extremes shall be equal to the rectangle contained ...
... straight line which also cuts the base , the segments of the base shall have the same ratio which the other sides of ... straight lines be proportionals , the rectangle contained by the extremes shall be equal to the rectangle contained ...
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Military Examinations. Mathematical Examination Papers, Set for Entrance to ... Woolwich Roy Military Acad Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD acceleration ALGEBRA arithmetic axes axis ball base binomial theorem bisected body centre of gravity chord circular measure cone continued fraction curve Define described diameter differential coefficient distance drawn elastic ellipse equiangular equilateral equilibrium feet per second 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 sliding smooth solid angle Solve the equation sphere square STATICS string tan-¹ tangent theorem things taken triangle ABC TRIGONOMETRY vertex weight
Pasajes populares
Página 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...
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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...
Página 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.
Página 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.