Recent Military, Naval, and Civil Service Examination Papers in Mathematics, with Answers and Hints for SolutionWilliam Tomlin, 1874 - 116 pages |
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Page 23
... centre of the circle . 3. Prove that whenever two parallel forces can be replaced by a single resultant , the ... gravity of a triangle and of the curved surface of a cone . If two triangles be formed by joining the middle points of alternate ...
... centre of the circle . 3. Prove that whenever two parallel forces can be replaced by a single resultant , the ... gravity of a triangle and of the curved surface of a cone . If two triangles be formed by joining the middle points of alternate ...
Page 24
... gravity is 32 when a foot and a second are the units of space and time ... gravity being 32 on the usual assumption as to units . 9. The path of a projectile ... centre of pressure of a plane surface in contact with a heavy fluid at rest ...
... gravity is 32 when a foot and a second are the units of space and time ... gravity being 32 on the usual assumption as to units . 9. The path of a projectile ... centre of pressure of a plane surface in contact with a heavy fluid at rest ...
Page 38
... gravity half that of water , is thrown in . Find by what part of themselves the pressures on the sides and base of ... centre of force , prove that the velocity at any point of the orbit is that due to th of the chord of curvature through the ...
... gravity half that of water , is thrown in . Find by what part of themselves the pressures on the sides and base of ... centre of force , prove that the velocity at any point of the orbit is that due to th of the chord of curvature through the ...
Page 50
... centre of gravity of a pyramid with a triangular base . If a prism and a pyramid have the same base and altitude , find the distance from the base of the centre of gravity of the solid that remains when the pyramid is removed from the ...
... centre of gravity of a pyramid with a triangular base . If a prism and a pyramid have the same base and altitude , find the distance from the base of the centre of gravity of the solid that remains when the pyramid is removed from the ...
Page 59
... centre of gravity of a body or system . Shew , in the case of three heavy particles , that they will have a centre of gravity , and only one centre of gravity . The three particles being equal and in a straight line , find the distance ...
... centre of gravity of a body or system . Shew , in the case of three heavy particles , that they will have a centre of gravity , and only one centre of gravity . The three particles being equal and in a straight line , find the distance ...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ... Braithwaite Arnett No preview available - 2016 |
Common terms and phrases
acres Algebra angular points ARITHMETIC AND LOGARITHMS arithmetic series axis base bisects the angle cent centre of gravity chords coefficient continued fraction cosine cubic cuts the circle Define Describe a circle diameter distance Divide ellipse equilateral Euclid expression exterior angle feet Find by Practice Find the equation find the number Find the value forces acting Geometry given circle given straight line given triangle inches inscribed intersection latus rectum least common multiple logarithms METCALFE AND SON Mixed Mathematics Multiply parabola parallel parallelogram particle perpendicular places of decimals pressure produced prove PURE MATHEMATICS ratio rect rectangle contained right angles shew sides simple interest spherical triangle string subtended Subtract surface tangent things taken Todhunter's triangle ABC TRIGONOMETRY velocity vertex vertical vis viva weight yards
Popular passages
Page 83 - 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.
Page 72 - 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...
Page 72 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Page 17 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Page 54 - 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.
Page 12 - 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.
Page 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, shall be equal to the square of the line which touches it.
Page 44 - If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line, which is made up of the half and the part produced.
Page 82 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Page 1 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.