Woolwich Mathematical Papers for Admission Into the Royal Military Academy: For 1891-1900Eldred John Brooksmith 1901 |
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Página 1
... extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel . Two quadrilaterals ABCD , EFGH , have the sides AB , DC respectively equal to the sides EF , HG ; and also the angles ...
... extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel . Two quadrilaterals ABCD , EFGH , have the sides AB , DC respectively equal to the sides EF , HG ; and also the angles ...
Página 2
... extremities of the unequal straight lines meet upon the diameter of the circle ( produced if necessary ) . 7. If from any point without a circle two straight lines be drawn , one of which cuts the circle , and the other touches it ; the ...
... extremities of the unequal straight lines meet upon the diameter of the circle ( produced if necessary ) . 7. If from any point without a circle two straight lines be drawn , one of which cuts the circle , and the other touches it ; the ...
Página 7
... extremity of an arm 8 ft . 4 in . long will raise 5 tons by means of a screw whose axis is vertical and diameter 2 inches , find the inclination to the horizon of the thread of the screw . 6. Find the relation between the power and ...
... extremity of an arm 8 ft . 4 in . long will raise 5 tons by means of a screw whose axis is vertical and diameter 2 inches , find the inclination to the horizon of the thread of the screw . 6. Find the relation between the power and ...
Página 13
... extremities attached to a weight W ; find the tension of the string and the resultant pressure on each peg . 4. The weights of a system of heavy bodies are W1 , W29 coordinates of their centres of gravity are x1 , 1 ; X2 , Y2 ; Find the ...
... extremities attached to a weight W ; find the tension of the string and the resultant pressure on each peg . 4. The weights of a system of heavy bodies are W1 , W29 coordinates of their centres of gravity are x1 , 1 ; X2 , Y2 ; Find the ...
Página 8
... extremity fixed at A , the other passes over a smooth hook 8 feet below B and supports a weight of 20 lbs . Find the tension of the string AC . 4. Define the centre of gravity of a body ; and show how to find the position of the centre ...
... extremity fixed at A , the other passes over a smooth hook 8 feet below B and supports a weight of 20 lbs . Find the tension of the string AC . 4. Define the centre of gravity of a body ; and show how to find the position of the centre ...
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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.