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Page 5
... direction of the arrow . ( 30. ) 35. A horizontal cylindrical hole ( diameter 11 " ) is bored through a vertical cylinder ( diameter 22 ′′ ) ; the axis of the boring cylinder passes from the axis of the vertical cylinder and is inclined ...
... direction of the arrow . ( 30. ) 35. A horizontal cylindrical hole ( diameter 11 " ) is bored through a vertical cylinder ( diameter 22 ′′ ) ; the axis of the boring cylinder passes from the axis of the vertical cylinder and is inclined ...
Page 6
... direction of the arrow . ( 60. ) * 53 . The projections of a cylindrical bolt with a square head are given . Determine in elevation the shadow cast by the head on the shank , and also that cast by the whole solid on the horizontal plane ...
... direction of the arrow . ( 60. ) * 53 . The projections of a cylindrical bolt with a square head are given . Determine in elevation the shadow cast by the head on the shank , and also that cast by the whole solid on the horizontal plane ...
Page 19
... direction by a vertical plane . Show how to obtain the true form of curve of the deck at the intersection , neglecting the sheer . ( 12. ) CALCULATIONS , & C . 51. The area of a ship's load water line is 8,000 square feet ; the body ...
... direction by a vertical plane . Show how to obtain the true form of curve of the deck at the intersection , neglecting the sheer . ( 12. ) CALCULATIONS , & C . 51. The area of a ship's load water line is 8,000 square feet ; the body ...
Page 31
... directions to meet a curve of the second degree , prove that the ratio of the rectangles under the segments of the two lines , intercepted between the variable point and the curve , is constant . Hence show that the direction of the ...
... directions to meet a curve of the second degree , prove that the ratio of the rectangles under the segments of the two lines , intercepted between the variable point and the curve , is constant . Hence show that the direction of the ...
Page 33
... direction cosines of whose generating lines are l , m , n . If U = o be the equation to such a cylinder , prove that U satisfies the differential equation , dU dx dU + m dy dU + n = 0 . dz Give a geometrical interpretation of the ...
... direction cosines of whose generating lines are l , m , n . If U = o be the equation to such a cylinder , prove that U satisfies the differential equation , dU dx dU + m dy dU + n = 0 . dz Give a geometrical interpretation of the ...
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Popular passages
Page 16 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Page 39 - 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 76 - In all cases the number of the question must be placed before the answer on the worked paper.
Page 72 - Your name is not given to the Examiner, and you are forbidden to write to him about your answers.
Page 16 - IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line.
Page 5 - It follows that the ratio of the circumference of a circle to its diameter is the same for all circles.
Page 3 - If two triangles have two sides of the one equal to two sides of the...
Page 18 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Page 16 - To divide a. given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part.
Page 58 - 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.