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 11.
Σελίδα 2
... centre of the circle . 5. Describe a circle about a given obtuse - angled 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 ...
... centre of the circle . 5. Describe a circle about a given obtuse - angled 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 ...
Σελίδα 5
... centres or at the circumferences have the same ratio which the circum- ferences on which they stand have to one another . If the circles be unequal , how may the ratio of the angles be expressed ? 9. Two circles touch externally in a ...
... centres or at the circumferences have the same ratio which the circum- ferences on which they stand have to one another . If the circles be unequal , how may the ratio of the angles be expressed ? 9. Two circles touch externally in a ...
Σελίδα 8
... centres being produced shall pass through the point of contact . Draw a circle of given radius which shall touch internally a given circle at a given point . 3. The opposite angles of any quadrilateral inscribed in a circle are together ...
... centres being produced shall pass through the point of contact . Draw a circle of given radius which shall touch internally a given circle at a given point . 3. The opposite angles of any quadrilateral inscribed in a circle are together ...
Σελίδα 12
... centres of the inscribed and circum- scribed circles coincide , the triangle is equilateral . 5. In equal circles , angles , whether at the centres or the circum- ferences , have the same ratio which the circumferences on which they ...
... centres of the inscribed and circum- scribed circles coincide , the triangle is equilateral . 5. In equal circles , angles , whether at the centres or the circum- ferences , have the same ratio which the circumferences on which they ...
Σελίδα 17
... centre of the circumscribing circle , prove that α 4 ++ α abc αβγ 14. Find the area of a triangle in terms of its perimeter , and the radius of the inscribed circle . The area of an equilateral triangle described about a circle is four ...
... centre of the circumscribing circle , prove that α 4 ++ α abc αβγ 14. Find the area of a triangle in terms of its perimeter , and the radius of the inscribed circle . The area of an equilateral triangle described about a circle is four ...
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.