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 2
... triangle . If the triangle be isosceles and the obtuse angle double one of the angles of an equilateral triangle , show that the radius of the circumscribing circle is equal to one of the equal sides of the given triangle . 6. Show how ...
... triangle . If the triangle be isosceles and the obtuse angle double one of the angles of an equilateral triangle , show that the radius of the circumscribing circle is equal to one of the equal sides of the given triangle . 6. Show how ...
Σελίδα 8
... equilateral triangle inscribed in the circle , and AD be a side of the inscribed square , prove 3AD2 = 2AB2 . 5. Inscribe a circle in a given equilateral and equiangular pentagon . 6. If a straight line be drawn parallel to one of the ...
... equilateral triangle inscribed in the circle , and AD be a side of the inscribed square , prove 3AD2 = 2AB2 . 5. Inscribe a circle in a given equilateral and equiangular pentagon . 6. If a straight line be drawn parallel to one of the ...
Σελίδα 9
... triangle of which the data are two sides and the included angle . 13. The base of an isosceles triangle is 100 feet and the vertical angle is 125 ° ; solve the triangle . angle Ă = 14. In a triangle ABC , given AC = 166.5 feet , BC ...
... triangle of which the data are two sides and the included angle . 13. The base of an isosceles triangle is 100 feet and the vertical angle is 125 ° ; solve the triangle . angle Ă = 14. In a triangle ABC , given AC = 166.5 feet , BC ...
Σελίδα 16
... isosceles triangle having each of the angles of base double of third angle , and hence Divide a right angle into five equal parts . How may an isosceles triangle be described upon a given base , having each angle at the base one - third ...
... isosceles triangle having each of the angles of base double of third angle , and hence Divide a right angle into five equal parts . How may an isosceles triangle be described upon a given base , having each angle at the base one - third ...
Σελίδα 37
... triangle . If the altitude of an isosceles triangle is equal to its base , the radius of the circumscribing circle is g of the base . 15. Prove that the area of the square described about a circle is double that of the square inscribed ...
... triangle . If the altitude of an isosceles triangle is equal to its base , the radius of the circumscribing circle is g of the base . 15. Prove that the area of the square described about a circle is double that of the square inscribed ...
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.