Recent Military, Naval, and Civil Service Examination Papers in Mathematics, with Answers and Hints for SolutionWilliam Tomlin, 1874 - 116 sider |
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Side 12
... Assuming that the ratio of the perimeter of a circle to its diameter is that of 3.1416 to unity , find the volume and the surface of a cylinder , the radius of which is 4 feet and the height 100 feet . Supposing that a wedge is cut out ...
... Assuming that the ratio of the perimeter of a circle to its diameter is that of 3.1416 to unity , find the volume and the surface of a cylinder , the radius of which is 4 feet and the height 100 feet . Supposing that a wedge is cut out ...
Side 13
... . 11. Prove that cos ( A + B ) = cos A cos B - sin A sin B , stating the limitations assumed in the proof as to the values of A and B. 12. Find cos 2A and sin3A . 13. If any arc of a circle be divided into AUGUST , 1873 . 13.
... . 11. Prove that cos ( A + B ) = cos A cos B - sin A sin B , stating the limitations assumed in the proof as to the values of A and B. 12. Find cos 2A and sin3A . 13. If any arc of a circle be divided into AUGUST , 1873 . 13.
Side 19
... assuming the general expression for the sum of an arithmetic series , find the sum of ( n ) terms of the series α 2a 3a n 29 22 n & c . n2 2 9 There are ( x ) terms in arithmetical progression between 5 and 25 , and the second term is ...
... assuming the general expression for the sum of an arithmetic series , find the sum of ( n ) terms of the series α 2a 3a n 29 22 n & c . n2 2 9 There are ( x ) terms in arithmetical progression between 5 and 25 , and the second term is ...
Side 20
... assuming the general form , show that the number of permutations of ( n ) things taken altogether when they all differ is double the number of permutations of ( n ) things taken together when two of them are alike . 11. Assuming the ...
... assuming the general form , show that the number of permutations of ( n ) things taken altogether when they all differ is double the number of permutations of ( n ) things taken together when two of them are alike . 11. Assuming the ...
Side 23
... Assuming that the moments of two intersecting forces about every point in the line of action of their resultant are equal and opposite , prove the proposition of the parallelogram of forces both as to direction and magnitude . 2. If two ...
... Assuming that the moments of two intersecting forces about every point in the line of action of their resultant are equal and opposite , prove the proposition of the parallelogram of forces both as to direction and magnitude . 2. If two ...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ... Braithwaite Arnett Uten tilgangsbegrensning - 1874 |
Recent Military, Naval, and Civil Service Examination Papers in Mathematics ... Braithwaite Arnett Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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 fraction geometrical 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
Populære avsnitt
Side 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.
Side 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...
Side 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.
Side 17 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Side 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.
Side 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.
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, shall be equal to the square of the line which touches it.
Side 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.
Side 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.
Side 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.