Woolwich mathematical papers [aftwerw.] Mathematical papers for admission into the Royal military academy (and the Royal military college, and papers in elementary engineering for naval cadetships). |
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Σελίδα 13
... forces act upon a particle in one plane , explain generally how their resultant may be found by the application of ... acting in one plane on a rigid body have a single resultant , the moment of the resultant round any point in the plane is ...
... forces act upon a particle in one plane , explain generally how their resultant may be found by the application of ... acting in one plane on a rigid body have a single resultant , the moment of the resultant round any point in the plane is ...
Σελίδα 13
... forces acting at the same point of a body bisects the angle between them . Assuming this , without proving it , shew that if two unequal forces acting at a point are represented in magnitude and direction by two straight lines drawn ...
... forces acting at the same point of a body bisects the angle between them . Assuming this , without proving it , shew that if two unequal forces acting at a point are represented in magnitude and direction by two straight lines drawn ...
Σελίδα 15
... force acting on the body is uniform ? A body is set in motion in a right line ; at the end of 3 seconds it is moving ... forces . If two sides AC , CB of a triangle represent in magnitude and direction the component velocities of a ...
... force acting on the body is uniform ? A body is set in motion in a right line ; at the end of 3 seconds it is moving ... forces . If two sides AC , CB of a triangle represent in magnitude and direction the component velocities of a ...
Σελίδα 12
... forces in one plane are in equilibrium acting on a point , prove , without assuming the " parallelogram of forces , " that either force is in the direction of the diagonal of the parallelogram whose sides represent the other two forces ...
... forces in one plane are in equilibrium acting on a point , prove , without assuming the " parallelogram of forces , " that either force is in the direction of the diagonal of the parallelogram whose sides represent the other two forces ...
Σελίδα 13
... forces , which do not meet , act on a body in one plane , determine the ... acting in the plane of the polygon ; shew that the sum of their moments will ... forces acting on a body in one plane . Explain also when either of these ...
... forces , which do not meet , act on a body in one plane , determine the ... acting in the plane of the polygon ; shew that the sum of their moments will ... forces acting on a body in one plane . Explain also when either of these ...
Συχνά εμφανιζόμενοι όροι και φράσεις
accuracy in numerical accuracy in results ALGEBRA ARITHMETIC asymptotes attached to accuracy axis ball Binomial Theorem bisected body cent centre of gravity chord circular measure circumference Common Logarithms cosine cubic curve decimal Define described diameter differential coefficient Divide ellipse equal angles equilateral equilibrium expression Find the length 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 intersect latus rectum Least Common Multiple logarithms miles an hour moving N.B.-Great importance number of forces opposite parabola parallel parallelogram parallelogram of forces particle perpendicular positive projectile prove pulleys PURE MATHEMATICS radius ratio rectangle contained rectilineal figure respectively rhombus right angles segment Shew sides sine Solve the equations string subtended tangent triangle ABC TRIGONOMETRY uniform vertical weight yards
Δημοφιλή αποσπάσματα
Σελίδα 2 - 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.
Σελίδα 1 - 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.
Σελίδα 2 - 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...
Σελίδα 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. either the sides adjacent to the equal...
Σελίδα 1 - 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.
Σελίδα 7 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Σελίδα 1 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 2 - If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts in the point C. Then the squares on AB, BC shall be equal to twice the rectangle AB, BC} together with the square on AC.
Σελίδα 2 - If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Σελίδα 2 - If the angle of a triangle be bisected by a straight line which also cuts the base ; the segments of the base shall have the...