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 8.
Σελίδα 5
... magnitudes has to the second the same ratio which the third has to the fourth ? Prove that in equal circles , angles whether at the centres or at the circumferences have the same ratio which the circum- ferences on which they stand have ...
... magnitudes has to the second the same ratio which the third has to the fourth ? Prove that in equal circles , angles whether at the centres or at the circumferences have the same ratio which the circum- ferences on which they stand have ...
Σελίδα 12
... magnitudes said to be of the same kind ? When are two magnitudes of the same kind said to be incom- mensurable ? Does Euclid's definition of the sameness of ratios apply to incommensurable magnitudes ? 6. Define compound ratio ; and ...
... magnitudes said to be of the same kind ? When are two magnitudes of the same kind said to be incom- mensurable ? Does Euclid's definition of the sameness of ratios apply to incommensurable magnitudes ? 6. Define compound ratio ; and ...
Σελίδα 16
... magnitudes of the angles of an equilateral triangle , pentagon , and hexagon . 7. Give Euclid's definition of ratio . When is the first of four magni- tudes said to have the same ratio to the second which the third has to the fourth ? 8 ...
... magnitudes of the angles of an equilateral triangle , pentagon , and hexagon . 7. Give Euclid's definition of ratio . When is the first of four magni- tudes said to have the same ratio to the second which the third has to the fourth ? 8 ...
Σελίδα 20
... magnitude , as A varies from 0 ° to 180 ° . 9. If A and B be each less than a right angle , and A > B , prove that cos ( AB ) = cos A .cos B + sin A. sin B. Draw the figure for a case ( 1 ) when A is greater than a right angle , ( 2 ) ...
... magnitude , as A varies from 0 ° to 180 ° . 9. If A and B be each less than a right angle , and A > B , prove that cos ( AB ) = cos A .cos B + sin A. sin B. Draw the figure for a case ( 1 ) when A is greater than a right angle , ( 2 ) ...
Σελίδα 22
... magnitude ( 2 ) , ( 3 ) , ( 4 ) † , 5 } . Find the difference of 3 and 72 , and show that ( 1 ) " = ± 1 or 1 ; also find ( - 2√3 ) x ( 2√ —3 ) 3 . 5. Extract the square roots of 7 √40 , and of and reduce - x2 - 3 + 2x - 4 ( x − 1 ...
... magnitude ( 2 ) , ( 3 ) , ( 4 ) † , 5 } . Find the difference of 3 and 72 , and show that ( 1 ) " = ± 1 or 1 ; also find ( - 2√3 ) x ( 2√ —3 ) 3 . 5. Extract the square roots of 7 √40 , and of and reduce - x2 - 3 + 2x - 4 ( x − 1 ...
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.