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Page 14
... circle about a tangent . ( 85 ) * 72 . You are given the curvatures of the projections of a tortuous curve SS at a point P. Determine the tangent line , the normal plane and the osculating plane at P. Find also the principal normal and ...
... circle about a tangent . ( 85 ) * 72 . You are given the curvatures of the projections of a tortuous curve SS at a point P. Determine the tangent line , the normal plane and the osculating plane at P. Find also the principal normal and ...
Page 14
... circle State how the joint is made steam - tight . 1377 16 1 // 4 층 ( 8 ) 14. Sketch in longitudinal section , full size , a simple gland and stuffing box suitable for a 1 " piston rod , there being two " gland studs , 24 " apart from ...
... circle State how the joint is made steam - tight . 1377 16 1 // 4 층 ( 8 ) 14. Sketch in longitudinal section , full size , a simple gland and stuffing box suitable for a 1 " piston rod , there being two " gland studs , 24 " apart from ...
Page 48
... circles . ( 25 ) 23. Show how to cut off from a given circle a segment con- taining a given angle . ABC is a triangle inscribed in a circle , and the line bisecting the angle A cuts the circumference in D ; show that BC is parallel to ...
... circles . ( 25 ) 23. Show how to cut off from a given circle a segment con- taining a given angle . ABC is a triangle inscribed in a circle , and the line bisecting the angle A cuts the circumference in D ; show that BC is parallel to ...
Page 50
... and not more than eight questions altogether . No candidate will be allowed to pass who fails to obtain marks in any one of the three sections . 1 A. 41. A circle is drawn within the angle BAC 50 V .-- PURE MATHEMATICS . 34 38.
... and not more than eight questions altogether . No candidate will be allowed to pass who fails to obtain marks in any one of the three sections . 1 A. 41. A circle is drawn within the angle BAC 50 V .-- PURE MATHEMATICS . 34 38.
Page 51
... circle is drawn within the angle BAC , formed by two straight lines AB , AC . Show how to draw the circles which touch AB and AC , and with which the given circle has internal contact . Give a carefully drawn diagram . ( 35 ) 42. Show ...
... circle is drawn within the angle BAC , formed by two straight lines AB , AC . Show how to draw the circles which touch AB and AC , and with which the given circle has internal contact . Give a carefully drawn diagram . ( 35 ) 42. Show ...
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Popular passages
Page 49 - 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.
Page 230 - 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...
Page 233 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Page 46 - The tangent at any point of a circle and the radius through the point are perpendicular to one another. If two circles touch, the point of contact lies on the straight line through the centres.
Page 46 - 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.
Page 49 - Similar triangles are to one another in the duplicate ratio of their homologous sides.
Page 282 - Ib. per square inch = 2116 Ib. per square foot = 760 mm. of mercury — 10
Page 53 - The exterior angle between any two intersecting tangents to a parabola, is equal to the angle which either of them subtends at the focus...
Page 228 - Your name is not given to the Examiners, and you are forbidden to write to them about your answers. All the work by which a result is obtained must be clearly shown in immediate connection with the question. No credit will be allowed for any result, however correct it may be, unless the work be shown, so -as to enable the examiners to satisfy hemselves that the candidate has understood the question, and to see by what process the result has been obtained.