Recent Military, Naval, and Civil Service Examination Papers in Mathematics, with Answers and Hints for SolutionWilliam Tomlin, 1874 - 116 páginas |
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Página 12
... planes through its axis inclined to each other at an angle , which is half a right angle , what will be the volume left ? MATHEMATICS . ( GEOMETRY AND TRIGONOMETRY ) . 3 hrs . 1. If a straight line be bisected , and produced to any ...
... planes through its axis inclined to each other at an angle , which is half a right angle , what will be the volume left ? MATHEMATICS . ( GEOMETRY AND TRIGONOMETRY ) . 3 hrs . 1. If a straight line be bisected , and produced to any ...
Página 24
... plane , and attached to a string which passes over the highest horizontal line in the plane , and hangs vertically over it . Find the greatest and least weights which can be attached to the free end of the string consistently with ...
... plane , and attached to a string which passes over the highest horizontal line in the plane , and hangs vertically over it . Find the greatest and least weights which can be attached to the free end of the string consistently with ...
Página 25
... plane when there is equilibrium ; also find the direction in which the weight on the plane will begin to move if the attached weight be increased . C. The resultant attraction of a uniform straight line upon any particle bisects the ...
... plane when there is equilibrium ; also find the direction in which the weight on the plane will begin to move if the attached weight be increased . C. The resultant attraction of a uniform straight line upon any particle bisects the ...
Página 27
... plane referred to three rectangular axes . The planes 2x + 3y + 4za and 5x + 4y + 3z = b intersect the plane , x = c . Find the cosine of the angle between the lines of intersection . 13. Interpret the equations ( 1 ) ( x − a ) 2 + ( y ...
... plane referred to three rectangular axes . The planes 2x + 3y + 4za and 5x + 4y + 3z = b intersect the plane , x = c . Find the cosine of the angle between the lines of intersection . 13. Interpret the equations ( 1 ) ( x − a ) 2 + ( y ...
Página 28
... plane through its centre and at a distance b from its plane is to the solid angle subtended by any closed surface surrounding the same point as sin1 to π . a2 is a2 + b2 2 2 C. Find the asymptotes and any singular points of the curves ...
... plane through its centre and at a distance b from its plane is to the solid angle subtended by any closed surface surrounding the same point as sin1 to π . a2 is a2 + b2 2 2 C. Find the asymptotes and any singular points of the curves ...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ... Braithwaite Arnett Sin vista previa disponible - 2016 |
Términos y frases comunes
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
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Página 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.
Página 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...
Página 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.
Página 17 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Página 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.
Página 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.
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, shall be equal to the square of the line which touches it.
Página 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.
Página 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.
Página 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.