Woolwich Mathematical Papers for Admission Into the Royal Military Academy for the Years, 1880-1888E. J. Brooksmith Macmillan, 1889 |
Inni boken
Resultat 1-5 av 46
Side 9
... axis major as diameter . II . Find the equation to the ellipse referred to a pair of conjugate diameters as axes , and shew that equal conjugate diameters are parallel to the lines joining the extremities of the major and minor axes ...
... axis major as diameter . II . Find the equation to the ellipse referred to a pair of conjugate diameters as axes , and shew that equal conjugate diameters are parallel to the lines joining the extremities of the major and minor axes ...
Side 13
... axis perpen- dicular to its plane , shew that the moment of the forces is the same through whatever point within the hexagon the axis passes . Is this true if the hexagon is not regular ? 3. If any system of forces acting in one plane ...
... axis perpen- dicular to its plane , shew that the moment of the forces is the same through whatever point within the hexagon the axis passes . Is this true if the hexagon is not regular ? 3. If any system of forces acting in one plane ...
Side 16
... axis is vertical and vertex downwards , prove that the acceleration varies as the distance from the vertex . 13. If the particle in the last question start from rest from an extremity of the base of the cycloid , and if T be the time in ...
... axis is vertical and vertex downwards , prove that the acceleration varies as the distance from the vertex . 13. If the particle in the last question start from rest from an extremity of the base of the cycloid , and if T be the time in ...
Side 9
... tangent of the angle which it makes with the major axis . 12. Assuming Demoivre's Theorem , prove that COS a I- a2 + a4 a6 I.2 a2 sin a = a- + + 7 13. Find an expression for tan - 1x in a 9 FURTHER EXAM . PURE MATHEMATICS . [ Nov. 1880.
... tangent of the angle which it makes with the major axis . 12. Assuming Demoivre's Theorem , prove that COS a I- a2 + a4 a6 I.2 a2 sin a = a- + + 7 13. Find an expression for tan - 1x in a 9 FURTHER EXAM . PURE MATHEMATICS . [ Nov. 1880.
Side 12
... axis distant h from the vertex may be the least possible . What is the geometrical meaning of the result ? 9 . If be ... axis of y , the positive axis of x , and the arc of the curve whose equation is a4 y = ( a2 + x2 ) I. VIII . STATICS ...
... axis distant h from the vertex may be the least possible . What is the geometrical meaning of the result ? 9 . If be ... axis of y , the positive axis of x , and the arc of the curve whose equation is a4 y = ( a2 + x2 ) I. VIII . STATICS ...
Andre utgaver - Vis alle
Woolwich Mathematical Papers for Admission Into the Royal Military Academy ... E J Brooksmith Ingen forhåndsvisning tilgjengelig - 2016 |
Woolwich Mathematical Papers for Admission Into the Royal Military Academy ... E. J. Brooksmith Ingen forhåndsvisning tilgjengelig - 2018 |
Woolwich Mathematical Papers for Admission Into the Royal Military Academy ... E. J. Brooksmith Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
ABCD acceleration accuracy in results ALGEBRA ARITHMETIC asymptotes attached to accuracy axis base Binomial Theorem bisected body cent centre of gravity chord circular measure circumference Common Logarithms cubic curve decimal described diameter distance Divide ellipse equal angles equiangular equilateral equilibrium expression feet Find the equation find the number Find the value forces acting fraction Full marks geometrical given point given straight line Harmonic means horizontal hyperbola inches inclined plane inscribed intersection latus rectum Least Common Multiple logarithms miles an hour N.B.-Great importance opposite parabola parallel parallelogram parallelogram of forces particle perpendicular position projectile prove pulley PURE MATH PURE MATHEMATICS radius ratio rectangle contained rectilineal figure rhombus right angles segment Shew Show sides sine Solve the equations STATICS string subtending tangent triangle ABC TRIGONOMETRY velocity vertex vertical weight yards
Populære avsnitt
Side 11 - If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C; the squares of AB, BC are equal to twice the rectangle AB, BC, together with the square of AC.
Side 12 - 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 11 - 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 12 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is greater than the squares of 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 angle. Let ABC be an obtuse-angled triangle, having the obtuse angle...
Side 11 - 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. either the sides adjacent to the equal...
Side 12 - 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 on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Side 12 - 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.
Side 12 - In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.
Side 11 - 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 11 - THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal.