## Examination Papers for Science Schools and Classes |

### From inside the book

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Page 29

... triangle . ( +0 ) ( 30. ) 49. The sides of a plane triangle are severally a2 + ab + b2 , 2ab + b2 , a2 - b2 ; find ...

... triangle . ( +0 ) ( 30. ) 49. The sides of a plane triangle are severally a2 + ab + b2 , 2ab + b2 , a2 - b2 ; find ...

**Spherical Trigonometry**. 53. Prove that in a right angled**spherical triangle**either none of the three sides exceed ... Page 30

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**spherical triangle**and an angle , deduce the corresponding relation between the angles , and a side , namely : - Sin A sin B cos c = cos C + cos A cos B. Calculate the side c having given A = 114 ° , B = 50 ° , and C = 66 ° . ( 40 ... Page 31

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**spherical triangle**of which A is an angle and a a side ; and if A , is the area of the supplemental triangle of which A , is an angle and a , a side ; show that 2A + A1 2A -α = 24 + A 2A - α1 3 . TABLES FOR THE QUESTIONS . Logarithmic ... Page 35

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**spherical triangle**, prove formulæ by means of which the two remaining sides may be found . Show that the sum of these sides will be greater or less than two right angles according as the sum of the given angles is greater or less than ... Page 36

... sphere , given in magnitude and position . 43. Given the base and area of a

... sphere , given in magnitude and position . 43. Given the base and area of a

**spherical triangle**, prove that the locus of the vertex is a small circle of the sphere . 44. Prove the following construction for drawing a tangent to an ...### Other editions - View all

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### Popular passages

Page 21 - The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another.

Page 23 - Prove that parallelograms on the same base and between the same parallels are equal in area.

Page 22 - If a straight line drawn through the centre of a circle bisect a straight line in it which does not pass through the centre, it shall cut it at right angles : and if it cut it at right angles, it shall bisect it.

Page 76 - 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.

Page 1 - 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.

Page 28 - If two triangles have two sides of the one equal to two sides of the...

Page 23 - 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 the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.

Page 21 - ... the same side together equal to two right angles ; the two straight lines shall be parallel to one another.

Page 105 - 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.

Page 21 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.