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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Page 11
... hour , sees in front of him , at an elevation of 60 ° , in the vertical plane through his path , a balloon which is travelling horizontally in the same direction at the rate of six miles an hour ; ten minutes after he observes that the ...
... hour , sees in front of him , at an elevation of 60 ° , in the vertical plane through his path , a balloon which is travelling horizontally in the same direction at the rate of six miles an hour ; ten minutes after he observes that the ...
Page 15
... hours , the weight of a cubic foot of water being 62.5 pounds . I. IX . DYNAMICS . Candidates are not expected to answer ... hour , and the radius of one of its wheels be 2 feet , what is the angular velocity of the wheel if there be no ...
... hours , the weight of a cubic foot of water being 62.5 pounds . I. IX . DYNAMICS . Candidates are not expected to answer ... hour , and the radius of one of its wheels be 2 feet , what is the angular velocity of the wheel if there be no ...
Page 4
... hour . B starts from London on the same road 1 hours later , driving 8 miles an hour . At what distance from Epsom will В over- take A ? 19. 40 lbs . troy of standard gold can be coined into 1,869 sovereigns , the proportion of pure ...
... hour . B starts from London on the same road 1 hours later , driving 8 miles an hour . At what distance from Epsom will В over- take A ? 19. 40 lbs . troy of standard gold can be coined into 1,869 sovereigns , the proportion of pure ...
Page 10
... hour with 18 carriages 10 cwt . of coal is required . How much coal will be consumed in a journey of 15 miles in 20 minutes with 20 carriages ? 5. The difference of two numbers that are expressed by the same digits is 35453221 ; in what ...
... hour with 18 carriages 10 cwt . of coal is required . How much coal will be consumed in a journey of 15 miles in 20 minutes with 20 carriages ? 5. The difference of two numbers that are expressed by the same digits is 35453221 ; in what ...
Page 14
... hour in miles . In what time will it travel 600 miles with a stoppage of 5 minutes after every 100 miles ? Supposing the circumference of the earth at the equator to be 25,000 miles , and the time of the earth's rotation to be 24 hours ...
... hour in miles . In what time will it travel 600 miles with a stoppage of 5 minutes after every 100 miles ? Supposing the circumference of the earth at the equator to be 25,000 miles , and the time of the earth's rotation to be 24 hours ...
Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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...
Page 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...
Page 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.
Page 7 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Page 1 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Page 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.
Page 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.
Page 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...