Woolwich Mathematical Papers for Admission Into the Royal Military Academy: For 1891-1900Eldred John Brooksmith 1901 |
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Página 7
... inclined to the vertical , draw a triangle representing the forces acting upon the ring . 2. A rectangular box , containing a ball of weight W , stands on a horizontal table , and is tilted about one of its lower edges through an angle ...
... inclined to the vertical , draw a triangle representing the forces acting upon the ring . 2. A rectangular box , containing a ball of weight W , stands on a horizontal table , and is tilted about one of its lower edges through an angle ...
Página 10
... inclined at an angle 0 to the axis , may be written in the form y = ( x - a - a sec20 ) tan 0 . If a chord of a parabola , whose inclination to the axis is tan - 1√√2 , be normal to the curve at one end , show that it will subtend a ...
... inclined at an angle 0 to the axis , may be written in the form y = ( x - a - a sec20 ) tan 0 . If a chord of a parabola , whose inclination to the axis is tan - 1√√2 , be normal to the curve at one end , show that it will subtend a ...
Página 11
... inclined to the other two , I I I 3 + + = VI . MATHEMATICS ( 2 ) . [ Full marks may be obtained for about three - fourths of this paper . Great importance is attached to accuracy . ] I. If a3 + b3 + c3 = 3abc , where a , b , c are ...
... inclined to the other two , I I I 3 + + = VI . MATHEMATICS ( 2 ) . [ Full marks may be obtained for about three - fourths of this paper . Great importance is attached to accuracy . ] I. If a3 + b3 + c3 = 3abc , where a , b , c are ...
Página 12
... inclination to the direction of the road . Show that this inclination will be 30 ° , if each of the measured angles is 60 ° , and one of the measured distances is double of the other . 9. If 2 cos 0 = x + , express cos no and sin ne in ...
... inclination to the direction of the road . Show that this inclination will be 30 ° , if each of the measured angles is 60 ° , and one of the measured distances is double of the other . 9. If 2 cos 0 = x + , express cos no and sin ne in ...
Página 15
... inclined plane , if the work done in drawing a heavy body up a given length of it , is equal to that done in drawing the body along an equal length of a rough floor ( coefficient of friction ) . If the floor and plane are equally rough ...
... inclined plane , if the work done in drawing a heavy body up a given length of it , is equal to that done in drawing the body along an equal length of a rough floor ( coefficient of friction ) . If the floor and plane are equally rough ...
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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.