Sandhurst Mathematical Papers for Admission Into the Royal Military College for the Years 1881-1889Macmillan, 1890 - 132 sider |
Inni boken
Resultat 1-5 av 30
Side 14
... attached to accuracy in results . 1. Reduce to its simplest form a2 at - y1 2ay + y2 a2 + ay α y } = { a5 Sa3 - a3y2 a3 + y3 √3 √2 + 2 √3 and find the value of — 2 - 2+ √√2 a2 - 2a3y + a2y2 a2 — ay + y2 to 3 places of decimals . x ...
... attached to accuracy in results . 1. Reduce to its simplest form a2 at - y1 2ay + y2 a2 + ay α y } = { a5 Sa3 - a3y2 a3 + y3 √3 √2 + 2 √3 and find the value of — 2 - 2+ √√2 a2 - 2a3y + a2y2 a2 — ay + y2 to 3 places of decimals . x ...
Side 25
... attached to accuracy . ] 1. Resolve into their elementary factors - ( 1 ) y ( xy ) , ( 2 ) a3 + b3 + c3 - 3abc , and find the condition that 3 + ( p + q ) x + a may be divisible by x + p + q . 2. Reduce the following expression to its ...
... attached to accuracy . ] 1. Resolve into their elementary factors - ( 1 ) y ( xy ) , ( 2 ) a3 + b3 + c3 - 3abc , and find the condition that 3 + ( p + q ) x + a may be divisible by x + p + q . 2. Reduce the following expression to its ...
Side 27
... attached to accuracy . ] 1. Describe a square which shall be equal to a given rectilineal figure . Given a square and one side of a rectangle which is equal to the square , find the other side . 2. Describe a circle which shall touch a ...
... attached to accuracy . ] 1. Describe a square which shall be equal to a given rectilineal figure . Given a square and one side of a rectangle which is equal to the square , find the other side . 2. Describe a circle which shall touch a ...
Side 29
... attached to accuracy . ] 1. Multiply a + b3 + c2 - ¿ 13c ‡ — c1a1 — a2b3 by aa + ba + } and divide x4 IIX3 12 3 +41.22 23x 2x2 + 6 by 5x + 1 . 8 4 3 2. Simplify I I x + 3 x I 2x DECEMBER 1884 . 29.
... attached to accuracy . ] 1. Multiply a + b3 + c2 - ¿ 13c ‡ — c1a1 — a2b3 by aa + ba + } and divide x4 IIX3 12 3 +41.22 23x 2x2 + 6 by 5x + 1 . 8 4 3 2. Simplify I I x + 3 x I 2x DECEMBER 1884 . 29.
Side 31
... 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 square on half DECEMBER 1884 . 31.
... 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 square on half DECEMBER 1884 . 31.
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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.