A graduated course of problems in practical plane and solid geometry |
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Side 2
James Martin (of the Wedgwood inst, Burslem.) 3 . A straight line is the shortest
distance between two points . A line is said to be produced when it is lengthened
at either extremity . Ex . BC4 . A curved line is nowhere straight . Ex . ABNote .
James Martin (of the Wedgwood inst, Burslem.) 3 . A straight line is the shortest
distance between two points . A line is said to be produced when it is lengthened
at either extremity . Ex . BC4 . A curved line is nowhere straight . Ex . ABNote .
Side 5
A tangent is a straight line which meets a circle , and , being produced , does not
cut it . Ex . AB . The point where it touches the circle is called the point of contact .
Ex . B . В NOTE 1 . - The circumference of every circle is supposed to be divided ...
A tangent is a straight line which meets a circle , and , being produced , does not
cut it . Ex . AB . The point where it touches the circle is called the point of contact .
Ex . B . В NOTE 1 . - The circumference of every circle is supposed to be divided ...
Side 15
This line , if produced , will bisect the angle made by the produced given lines ÁB
, CD . Problem 13 . To draw straight lines from any two given points A and B ,
outside a given straight line CD , so as to make equal angles with the given line
CD ...
This line , if produced , will bisect the angle made by the produced given lines ÁB
, CD . Problem 13 . To draw straight lines from any two given points A and B ,
outside a given straight line CD , so as to make equal angles with the given line
CD ...
Side 23
The altitude of a triangle is its perpendicular height , i . e . , the length of a
perpendicular drawn from the vertex to the base , or to the base produced . Ex .
AB13 . The perimeter of a figure is its whole boundary . Thus , if one side of an
equilateral ...
The altitude of a triangle is its perpendicular height , i . e . , the length of a
perpendicular drawn from the vertex to the base , or to the base produced . Ex .
AB13 . The perimeter of a figure is its whole boundary . Thus , if one side of an
equilateral ...
Side 25
2 . Line AE is the required altitude of the given triangle ABC . NOTE . - If the line
A E does not fall on the base , the base must be produced , and then we can
obtain the altitude of the triangle as above . Problem 22 . To find the centre of a
given ...
2 . Line AE is the required altitude of the given triangle ABC . NOTE . - If the line
A E does not fall on the base , the base must be produced , and then we can
obtain the altitude of the triangle as above . Problem 22 . To find the centre of a
given ...
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altitude arc cutting Atlas axis base Bisect the angle called centre circumference cloth complete cone construct contained curve cutting cylinder describe a circle describe an arc describe arcs diagonal diameter distance divide draw a line draw lines Draw the line edge elevation ellipse equal equal in area equilateral triangle face four given circle given line given point given square ABCD given straight line given triangle ABC half height hexagon horizontal plane inches inclined inscribe intersection isosceles triangle Join length Maps mark meeting Method NOTE obtain parallel parallelogram pass pentagon perpendicular Philips plane of projection polygon prism Problem produced projection projectors pyramid radii radius rectangle rectilineal figure regular represent required circle respectively right angles scale semicircle sides similar solid straight line Take touching traces trapezium vertical plane
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Side 294 - Young Student's Atlas, Comprising Thirty-six Maps of the Principal Countries of the World, printed in colors. Edited by W. Hughes, FRGS Imperial 41.0., bound in cloth, 33. 6d. Philips Atlas for Beginners, Comprising Thirty-two Maps of the Principal Countries of the World, constructed from the best authorities, and engraved in the best style. New and enlarged edition, with a valuable Consulting Index, on a new plan.
Side 193 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed. If the fixed side be equal to the other side containing the right angle, the cone is called a right-angled cone ; if it be less than the other side, an obtuse-angled ; and if greater, an acute-angled cone. XIX. The axis of a cone is the fixed straight line about which the triangle revolves.
Side 123 - A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less.