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 12
Side 8
... extremity of the diameter through A in D , E ; prove that the triangle AED is similar to ABC . 8. In right - angled triangles the rectilineal figure described upon the side opposite to the right angle is equal to the similar and ...
... extremity of the diameter through A in D , E ; prove that the triangle AED is similar to ABC . 8. In right - angled triangles the rectilineal figure described upon the side opposite to the right angle is equal to the similar and ...
Side 28
... extremity to the intersections of the circle with the cutting line . 7. In any right - angled triangle , any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on ...
... extremity to the intersections of the circle with the cutting line . 7. In any right - angled triangle , any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on ...
Side 42
... extremities . Prove that if the chord be parallel to either diagonal of the circumscribing rectangle , the sum of the excentric angles of its extremities will be an odd multiple of П 2 8. Prove that y = mx + c will touch 42 SANDHURST ...
... extremities . Prove that if the chord be parallel to either diagonal of the circumscribing rectangle , the sum of the excentric angles of its extremities will be an odd multiple of П 2 8. Prove that y = mx + c will touch 42 SANDHURST ...
Side 46
... extremities of a string passing over a smooth fixed pulley . Find the acceleration . In what time will a weight of 37 lbs . draw another of 24 lbs . through 32 feet ? and what velocity will each particle have at the end of that time ...
... extremities of a string passing over a smooth fixed pulley . Find the acceleration . In what time will a weight of 37 lbs . draw another of 24 lbs . through 32 feet ? and what velocity will each particle have at the end of that time ...
Side 50
... extremities of a focal chord of a conic section intersect in the directrix , and that they are at right angles to ... extremity of a focal chord . Prove that they intersect at right angles . 3. In the ellipse prove that PN2 : AN . 50 ...
... extremities of a focal chord of a conic section intersect in the directrix , and that they are at right angles to ... extremity of a focal chord . Prove that they intersect at right angles . 3. In the ellipse prove that PN2 : AN . 50 ...
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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.