Military examinations. Mathematical examination papers, set at entrance to the Royal military college, Sandhurst, with answers, by W.F. Austin |
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Αποτελέσματα 1 - 5 από τα 5.
Σελίδα 5
... formula obtained , determine the numerical value of tan A , if 3A = 90 ° . tan sin A + sin B A + B 2 14. Prove = sin A sin B - A B - 2 tan Also , if ( a ) and ( b ) are the sides of a triangle subtending the angles ( A ) and ( B ) ...
... formula obtained , determine the numerical value of tan A , if 3A = 90 ° . tan sin A + sin B A + B 2 14. Prove = sin A sin B - A B - 2 tan Also , if ( a ) and ( b ) are the sides of a triangle subtending the angles ( A ) and ( B ) ...
Σελίδα 8
... formula . If a straight line be divided into any three parts , exhibit a geometrical construction from which it may be demonstrated that the square of the whole line is equal to the squares on the three parts , together with twice the ...
... formula . If a straight line be divided into any three parts , exhibit a geometrical construction from which it may be demonstrated that the square of the whole line is equal to the squares on the three parts , together with twice the ...
Σελίδα 9
... formula for sin ( A - B ) in terms of the sines and cosines of ( A ) and ( B ) ; express the formula also in terms of the cosines of A and B only . Prove cos 15 ° x cos 75 ° 11. Prove tan 3A = = 1 4 ' 3 tan A tan3 A - 1 3 tan2 A If A be ...
... formula for sin ( A - B ) in terms of the sines and cosines of ( A ) and ( B ) ; express the formula also in terms of the cosines of A and B only . Prove cos 15 ° x cos 75 ° 11. Prove tan 3A = = 1 4 ' 3 tan A tan3 A - 1 3 tan2 A If A be ...
Σελίδα 32
... formula . 2. The diameter is the greatest straight line in a circle : and of all others , that which is nearer to the centre is always greater than one more remote : and the greater is nearer to the centre than the less . From a given ...
... formula . 2. The diameter is the greatest straight line in a circle : and of all others , that which is nearer to the centre is always greater than one more remote : and the greater is nearer to the centre than the less . From a given ...
Σελίδα 44
... formula . 2. Find the centre of a given circle . If a circle be described on the radius of another circle , any straight line drawn from the point where they meet , to the outer circumference , is bisected by the interior one . 3. The ...
... formula . 2. Find the centre of a given circle . If a circle be described on the radius of another circle , any straight line drawn from the point where they meet , to the outer circumference , is bisected by the interior one . 3. The ...
Άλλες εκδόσεις - Προβολή όλων
Military Examinations. Mathematical Examination Papers, Set at Entrance to ... Sandhurst Roy Military Coll Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Military Examinations. Mathematical Examination Papers, Set At Entrance To ... Sandhurst Roy Military Coll Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Military Examinations. Mathematical Examination Papers, Set At Entrance To ... Sandhurst Roy Military Coll Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c acres algebraical quantities altitude base bisected centre chains circle are equal circular measure circumference circumscribing circle cosec cubic feet cubic foot cuts the circle Describe a circle digits equilateral and equiangular equilateral triangle express Extract the square Find the area find the logarithms find the number Find the value formula fraction given circle given log given points given straight line given triangle half the line included angle isosceles triangle least common multiple line be divided logarithms magnitudes MATHEMATICS miles number of cubic obtuse angle parallelograms Prove that log prove the rule pyramid quadratic surd radius ratio rectangle contained rectilineal figure recurring decimal regular polygon rhombus right angle segment semicircle Solve the equations square numbers square of half square root subtending tan-¹ tan² tangent twice the rectangle weighs whole line whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 44 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Σελίδα 24 - 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, is equal to the square of the line which touches it.
Σελίδα 36 - The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 12 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Σελίδα 2 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Σελίδα 36 - To divide a given straight line 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.
Σελίδα 36 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Σελίδα 44 - ... cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Σελίδα 2 - ... the side subtending the obtuse angle, is greater than the squares of 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 2 - 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.