Sandhurst Mathematical Papers for Admission Into the Royal Military College for the Years 1881-1889Macmillan, 1890 - 132 sider |
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Resultat 1-5 av 22
Side 8
... geometrical construction for determining sin 18 ° . 6. Inscribe an equilateral and equiangular hexagon in a given circle , and compare the area of this hexagon with that of a similar one described about the circle . 7. If two triangles ...
... geometrical construction for determining sin 18 ° . 6. Inscribe an equilateral and equiangular hexagon in a given circle , and compare the area of this hexagon with that of a similar one described about the circle . 7. If two triangles ...
Side 13
... geometrically an expression for the cosine of the differ- ence of two angles in terms of the trigonometrical ratios of those angles . Find all the values of x , which satisfy the equation cos x cos 3x = cos 2x cos 6r . Solve the ...
... geometrically an expression for the cosine of the differ- ence of two angles in terms of the trigonometrical ratios of those angles . Find all the values of x , which satisfy the equation cos x cos 3x = cos 2x cos 6r . Solve the ...
Side 24
... geometrically that cosec 201 + cot 20 . to 3п 2 • 10. Write down all the values of which satisfy the equations ( 1 ) cosec 20 = 2 sec 0 tan 20 ( 2 ) sin 40 - COS 40 = I. ( 3 ) sin 220 - sin 20 = 1 . II . If be less than prove that sin 0 ...
... geometrically that cosec 201 + cot 20 . to 3п 2 • 10. Write down all the values of which satisfy the equations ( 1 ) cosec 20 = 2 sec 0 tan 20 ( 2 ) sin 40 - COS 40 = I. ( 3 ) sin 220 - sin 20 = 1 . II . If be less than prove that sin 0 ...
Side 31
... geometrical . Great importance will be attached to accuracy . ] I. If a straight line be bisected , and produced to any point , the rectangle contained by the whole line thus produced , and the part of it produced , together with the ...
... geometrical . Great importance will be attached to accuracy . ] I. If a straight line be bisected , and produced to any point , the rectangle contained by the whole line thus produced , and the part of it produced , together with the ...
Side 35
... geometrical . ] 1. 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 on the line between the points of section , is equal to the ...
... geometrical . ] 1. 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 on the line between the points of section , is equal to the ...
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Mathematical Papers for Admission Into the Royal Military College for the ... Royal Military College,Sandhurst,Royal Military Academy Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
angular points attached to accuracy axis ball base Binomial Theorem bisected centre of gravity chord circular measure circumference coefficient of friction cone CONIC SECTIONS cosec cube curve Define Describe diameter DIFF DIFFERENTIAL CALCULUS distance divided drawn ellipse equal angles escribed circles EUCLID AND TRIGONOMETRY expression feet Find the area Find the equation Find the Greatest Find the value forces Full marks geometrical given circle Given log given point given straight line horizontal plane hyperbola I.-ALGEBRA AND MENSURATION II.-EUC inches inscribed intersect latus rectum Least Common Multiple length logarithm middle point Ordinary abbreviations parabola parallel perpendicular polar Prove quadrilateral radius ratio rectangle contained rectangular respectively right angles segments Solve the equations sphere square root string tangent triangle ABC TRIG TRIGONOMETRY twice the rectangle vertex vertical angle weight yards
Populære avsnitt
Side 57 - 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.
Side 12 - ... if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle be equal to the square of the line which meets it, the line which meets shall touch the circle.
Side 92 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Side 28 - 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.
Side 19 - AB be the given straight line ; it is required to divide it 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.
Side 48 - ... subtending the obtuse angle, is greater than the squares on 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 angle, Let ABC be an obtuse-angled triangle, having the obtuse angle ACB; and from the point A, let AD be drawn perpendicular to BC produced.
Side 36 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Side 56 - AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.
Side 101 - 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.
Side 27 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.