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 19
... geometrical example of such a law of variation . Given that y is equal to the sum of two terms , one of which varies as 1 X and the other as x2 , and that when x is 1 or 2 , y is equal to 7 , find the equation between and x . y 7. A ...
... geometrical example of such a law of variation . Given that y is equal to the sum of two terms , one of which varies as 1 X and the other as x2 , and that when x is 1 or 2 , y is equal to 7 , find the equation between and x . y 7. A ...
Página 20
Braithwaite Arnett. 9. Find a geometrical mean between - 2x 3 x2 2 + 9 and ( 1 ― 4x 4x2 + 3 9 If a , b , c are in harmonical progression , prove a3 + c3 > 263 . 10. Distinguish between permutations and com- binations . Deduce from first ...
Braithwaite Arnett. 9. Find a geometrical mean between - 2x 3 x2 2 + 9 and ( 1 ― 4x 4x2 + 3 9 If a , b , c are in harmonical progression , prove a3 + c3 > 263 . 10. Distinguish between permutations and com- binations . Deduce from first ...
Página 41
... geometrical significance of the constants in the equation ; and find also the cosine of the angle which the plane makes with the coordinate plane of xy . واح EXAMINATION OF CANDIDATES FOR COMMISSIONS IN THE ROYAL MARINE ARTILLERY ...
... geometrical significance of the constants in the equation ; and find also the cosine of the angle which the plane makes with the coordinate plane of xy . واح EXAMINATION OF CANDIDATES FOR COMMISSIONS IN THE ROYAL MARINE ARTILLERY ...
Página 55
... 0 to π . 11. Prove by means of geometrical figures the formulæ : cos ( AB ) = cos A cos B + sin A sin B , and tan ( A + B ) = tan A + tan B 1- tan A tan B ' 12. Find an expression for all the angles which have JULY , 1873 . 55.
... 0 to π . 11. Prove by means of geometrical figures the formulæ : cos ( AB ) = cos A cos B + sin A sin B , and tan ( A + B ) = tan A + tan B 1- tan A tan B ' 12. Find an expression for all the angles which have JULY , 1873 . 55.
Página 63
... geometrical meaning of the involved constants . 12. Find the equation of a plane referred to three rectangular axes . The planes 2x + 3y + 4z = α , 5x + 4y + 32 = b , intersect the plane x = c ; find the equations to the two lines of ...
... geometrical meaning of the involved constants . 12. Find the equation of a plane referred to three rectangular axes . The planes 2x + 3y + 4z = α , 5x + 4y + 32 = b , intersect the plane x = c ; find the equations to the two lines of ...
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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.
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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.