Examination Papers for Science Schools and Classes |
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Side 40
... triangle , if a perpendicular be drawn from either of the acute angles to the opposite side produced , the square on the side subtending the obtuse angle is greater than ... two circles , which cut one another , cannot cut in more than two ...
... triangle , if a perpendicular be drawn from either of the acute angles to the opposite side produced , the square on the side subtending the obtuse angle is greater than ... two circles , which cut one another , cannot cut in more than two ...
Side 43
... the angles of a triangle are in arithmetical progression , show that the squares of the sides are in the ratios , x2 ( x2 + 9 ) : ( 3 + x2 ) 2 : 9 ( 1 + x2 ) , where x is the least or greatest tangent . 48. In any triangle ABC , show that ...
... the angles of a triangle are in arithmetical progression , show that the squares of the sides are in the ratios , x2 ( x2 + 9 ) : ( 3 + x2 ) 2 : 9 ( 1 + x2 ) , where x is the least or greatest tangent . 48. In any triangle ABC , show that ...
Side 44
... triangle of a given spherical triangle , and show that the sides and angles of the polar triangle are respectively ... less than two right angles . ( 30. ) 55. ABC is a spherical triangle having a right angle at C ; write down the ...
... triangle of a given spherical triangle , and show that the sides and angles of the polar triangle are respectively ... less than two right angles . ( 30. ) 55. ABC is a spherical triangle having a right angle at C ; write down the ...
Side 45
... the expansion of ( 1 + x ) 2 ( 1 + y ) 2 ( 1 + x + y ) 2 in powers of x and y . ( 45. ) 63. If n be a positive integer and a greater than unity , show that x2 + 1 n + 1 is greater than - ] x- ( n + 1 ) and less than n 1 x - n -- x = ( n ...
... the expansion of ( 1 + x ) 2 ( 1 + y ) 2 ( 1 + x + y ) 2 in powers of x and y . ( 45. ) 63. If n be a positive integer and a greater than unity , show that x2 + 1 n + 1 is greater than - ] x- ( n + 1 ) and less than n 1 x - n -- x = ( n ...
Side 73
... triangle having a right angle at C ; forces of 10 , 8 , and 12/2 units act ... than water ; it is held under water by two threads AB , AC fastened to a ... any point of a fluid at rest is given by the equation dpp ( X dx + Ydy + Zde ) ...
... triangle having a right angle at C ; forces of 10 , 8 , and 12/2 units act ... than water ; it is held under water by two threads AB , AC fastened to a ... any point of a fluid at rest is given by the equation dpp ( X dx + Ydy + Zde ) ...
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Examination Papers for Science Schools and Classes Great Britain. Education Department. Department of Science and Art Uten tilgangsbegrensning - 1890 |
Examination Papers for Science Schools and Classes Great Britain. Education Department. Department of Science and Art Uten tilgangsbegrensning - 1882 |
Examination Papers for Science Schools and Classes Great Britain. Education Department. Department of Science and Art Uten tilgangsbegrensning - 1869 |
Vanlige uttrykk og setninger
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Populære avsnitt
Side 34 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 36 - 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 34 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 124 - GENERAL INSTRUCTIONS. If the rules are not attended to, the paper will be cancelled. You may take the Elementary or the Advanced or the Honours paper, but you must confine yourself to one of them.
Side 44 - 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 36 - FG; then, upon the same base EF, and upon the same side of it, there can be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise their sides terminated in the other extremity: But this is impossible (i.
Side 36 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on 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...
Side 195 - The value attached to each question is shown in brackets after the question. But a full and correct answer to an easy question will in all cases secure a larger number of marks than an incomplete or inexact answer to a more difficult one.
Side 36 - 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 square on half the line.
Side 57 - Put the number of the question before your answer. You are to confine your answers strictly to the questions proposed. Your name is not given to the Examiner, and you are forbidden to write to him about your answers.