Woolwich Mathematical Papers for Admission Into the Royal Military Academy: For 1891-1900Eldred John Brooksmith 1901 |
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Página 1
... is ex- pressed directly in algebraic symbols by the formula ( 2a + b ) b + a2 = ( a + b ) 2 , and give the construction by which the proposition is proved . 5. In any triangle the square on the side subtending W. P. N I.
... is ex- pressed directly in algebraic symbols by the formula ( 2a + b ) b + a2 = ( a + b ) 2 , and give the construction by which the proposition is proved . 5. In any triangle the square on the side subtending W. P. N I.
Página 14
... construction , the value of P in pounds . 2. Solve the following problem : -A uniform horizontal beam AB , weight 100 lbs . , is placed with the end A resting against a rough wall AD , and is supported by a string CD . Find , by ...
... construction , the value of P in pounds . 2. Solve the following problem : -A uniform horizontal beam AB , weight 100 lbs . , is placed with the end A resting against a rough wall AD , and is supported by a string CD . Find , by ...
Página 10
... in magnitude and position two conjugate diameters of an ellipse , find , by geometrical construction , the position and magnitude of its axes . VI . MATHEMATICS ( 2 ) . [ Full marks ΙΟ WOOLWICH ENTRANCE EXAMINATION .
... in magnitude and position two conjugate diameters of an ellipse , find , by geometrical construction , the position and magnitude of its axes . VI . MATHEMATICS ( 2 ) . [ Full marks ΙΟ WOOLWICH ENTRANCE EXAMINATION .
Página 2
... construction by which the proposition is proved . If in a quadrilateral ABCD , the sides AD and BC are each perpen- dicular to the side AB , show that the square on DC is less than the sum of the squares on the three other sides by ...
... construction by which the proposition is proved . If in a quadrilateral ABCD , the sides AD and BC are each perpen- dicular to the side AB , show that the square on DC is less than the sum of the squares on the three other sides by ...
Página 2
... construction when the circle is required to touch one side externally . IO . Inscribe a regular pentagon in a given circle . If a regular pentagon and a regular hexagon be on the same base and on the same side of it , prove that the ...
... construction when the circle is required to touch one side externally . IO . Inscribe a regular pentagon in a given circle . If a regular pentagon and a regular hexagon be on the same base and on the same side of it , prove that the ...
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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.