Woolwich Mathematical Papers for Admission Into the Royal Military Academy: For 1891-1900Eldred John Brooksmith 1901 |
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Αποτελέσματα 1 - 5 από τα 57.
Σελίδα 3
... expressions x2 - 26x + 168 and x2 + x2y2 + 14 . ; 3. Show that the sum of the squares of 5 consecutive numbers is divisible by 5 . 4. Find the highest common factor of 4x4 + 7x2 + 16 and 4x4 + 12x3 + 9x2 – 16 . 5. Solve the equations ...
... expressions x2 - 26x + 168 and x2 + x2y2 + 14 . ; 3. Show that the sum of the squares of 5 consecutive numbers is divisible by 5 . 4. Find the highest common factor of 4x4 + 7x2 + 16 and 4x4 + 12x3 + 9x2 – 16 . 5. Solve the equations ...
Σελίδα 6
... expression ( x + √x2 - 1 ) + ( x - √x - 1 ) . 10. A railway tunnel consists of a hollow semi - cylindrical top , termin- ated below in a trough with slanting sides and flat base . The radius of the former being 12 feet , the base and ...
... expression ( x + √x2 - 1 ) + ( x - √x - 1 ) . 10. A railway tunnel consists of a hollow semi - cylindrical top , termin- ated below in a trough with slanting sides and flat base . The radius of the former being 12 feet , the base and ...
Σελίδα 8
... expression in the case where the particle has an initial velocity u . A particle is observed to describe 7 feet in 3 seconds , and 13 feet in the next 3 seconds ; find its acceleration . 9. The side BC of a triangle ABC is vertical ...
... expression in the case where the particle has an initial velocity u . A particle is observed to describe 7 feet in 3 seconds , and 13 feet in the next 3 seconds ; find its acceleration . 9. The side BC of a triangle ABC is vertical ...
Σελίδα 5
... expression for all the angles which have the same sine as a given angle . Having given the value of sin 2A , find the number of values of tan A. 6. Prove that and that tan - 1x + tan - ly 11 = tan - 1x + y 1 - xy ' -1 I π 2 tan - 14 + ...
... expression for all the angles which have the same sine as a given angle . Having given the value of sin 2A , find the number of values of tan A. 6. Prove that and that tan - 1x + tan - ly 11 = tan - 1x + y 1 - xy ' -1 I π 2 tan - 14 + ...
Σελίδα 6
For 1891-1900 Eldred John Brooksmith. 9. Write down the expression for the cosine of an angle of a triangle in terms of its sides , and prove that , for a triangle ABC , sin 2 √ ( 5-6 ) ( s - c ) bc Having given that the sides of a ...
For 1891-1900 Eldred John Brooksmith. 9. Write down the expression for the cosine of an angle of a triangle in terms of its sides , and prove that , for a triangle ABC , sin 2 √ ( 5-6 ) ( s - c ) bc Having given that the sides of a ...
Άλλες εκδόσεις - Προβολή όλων
Woolwich Mathematical Papers for Admission Into the Royal Military Academy ... Eldred John Brooksmith,Woolwich Royal Military Academy Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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 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 parabola parallel parallelogram passes perpendicular point of projection position Prove pulley PURE MATHEMATICS quadrilateral radius ratio rectangle contained respectively rest right angles Royal Military Academy SECOND PAPER sides square STATICS AND DYNAMICS string subtends tangent triangle ABC TRIGONOMETRY velocity vertex vertical plane weight
Δημοφιλή αποσπάσματα
Σελίδα 1 - 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.
Σελίδα 14 - 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.
Σελίδα 14 - 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.
Σελίδα 7 - 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.
Σελίδα 15 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...
Σελίδα 16 - 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.
Σελίδα 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...
Σελίδα 1 - If two triangles have two sides of the one equal to two sides of the other...
Σελίδα 15 - 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.