Woolwich Mathematical Papers for Admission Into the Royal Military Academy: For 1891-1900Eldred John Brooksmith 1901 |
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Página 5
... half the angle , and the cosecant of the supplement of double the angle . 2 . Establish the identities- ( i . ) ( cosec A + sec A ) 2 - ( cos A + sin A ) 2 ( ii . ) 2 : = ( cot A cosec A + tan 4 sec A ) ( sin A + cos A ) ( 1 + sin A cos ...
... half the angle , and the cosecant of the supplement of double the angle . 2 . Establish the identities- ( i . ) ( cosec A + sec A ) 2 - ( cos A + sin A ) 2 ( ii . ) 2 : = ( cot A cosec A + tan 4 sec A ) ( sin A + cos A ) ( 1 + sin A cos ...
Página 7
... half a minute and the unit of length be 2 yards , what will be the measure of the velocity of a body which describes , at a uniform rate , 14 miles in 3 hours ? 8. Investigate the formula s = ft2 for the space 7 OBLIGATORY . STATICS AND ...
... half a minute and the unit of length be 2 yards , what will be the measure of the velocity of a body which describes , at a uniform rate , 14 miles in 3 hours ? 8. Investigate the formula s = ft2 for the space 7 OBLIGATORY . STATICS AND ...
Página 9
... half of the latus rectum . If one side of an equilateral triangle be a focal radius SP of a parabola , and another side lie along the axis , show that the third side will be either the tangent or the normal at P , and find in each case ...
... half of the latus rectum . If one side of an equilateral triangle be a focal radius SP of a parabola , and another side lie along the axis , show that the third side will be either the tangent or the normal at P , and find in each case ...
Página 15
... half their vis viva is lost . IO . A flexible heavy string , length 27 , is moving over a smooth fixed small pulley , the two unequal portions of it hanging vertically . Prove that at the instant when its middle point is at a distance x ...
... half their vis viva is lost . IO . A flexible heavy string , length 27 , is moving over a smooth fixed small pulley , the two unequal portions of it hanging vertically . Prove that at the instant when its middle point is at a distance x ...
Página 8
... find the tension of the string at any time and the acceleration produced . If the tension is equal to half the weight of m what is the ratio of M to m ? " FURTHER EXAMINATION . V. MATHEMATICS ( 1 ) . [ 8 WOOLWICH ENTRANCE EXAMINATION .
... find the tension of the string at any time and the acceleration produced . If the tension is equal to half the weight of m what is the ratio of M to m ? " FURTHER EXAMINATION . V. MATHEMATICS ( 1 ) . [ 8 WOOLWICH ENTRANCE EXAMINATION .
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ... Eldred John Brooksmith,Woolwich Royal Military Academy Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD ALGEBRA angle of friction ARITHMETIC arithmetical progression attached to accuracy axes axis base Binomial Theorem bisected body cent centre of gravity chord coefficient of friction conic coordinates cosec cosine described diameter directrix distance drawn ellipse equal equilateral triangle equilibrium expression feet per second Find the equation Find the number Find the tension Find the value focus Full marks geometrical given circle given point given straight line horizontal plane hyperbola inches inclined plane inscribed intersection latus rectum length line joining locus logarithms middle point miles an hour moving N.B.-Great importance parabola parallel parallelogram passes perpendicular point of projection position Prove pulley quadrilateral radius ratio rectangle contained respectively rest right angles Royal Military Academy SECOND PAPER sides Solve the equations square string subtends tangent triangle ABC TRIGONOMETRY velocity vertex vertical plane weight
Pasajes populares
Página 3 - 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 2 - 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.
Página 2 - 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.
Página 9 - Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point.
Página 1 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...
Página 1 - 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 18 - 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 2 - ... 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...
Página 3 - If two triangles have two sides of the one equal to two sides of the other...
Página 17 - 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.