A graduated course of problems in practical plane and solid geometry |
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Resultat 1-5 av 22
Side 6
The same method is to be followed in bisecting the given arc AB . Problem 2 . - (
A . ) To draw a straight line perpendicular to a given straight line AB , from a given
point in the line . First . Let the given point C be at or near the middle of the line ...
The same method is to be followed in bisecting the given arc AB . Problem 2 . - (
A . ) To draw a straight line perpendicular to a given straight line AB , from a given
point in the line . First . Let the given point C be at or near the middle of the line ...
Side 9
From point A as centre , with radius AC , describe arc CE . 3 . Draw the line CE ,
and it will be perpendicular to the given straight line AB . Another Method . 1 .
Take any point Din the given line AB towards A . Join DC , and bisect it in E ( Pr .
1 ) .
From point A as centre , with radius AC , describe arc CE . 3 . Draw the line CE ,
and it will be perpendicular to the given straight line AB . Another Method . 1 .
Take any point Din the given line AB towards A . Join DC , and bisect it in E ( Pr .
1 ) .
Side 16
... as 1 , 2 , 3 , 4 . 3 . From B , mark off on BD the same number of equal parts , as
1 , 2 , 3 , 4 . 4 . Join 1 4 , 2 3 , 3 2 , & c . , and the given line AB will be divided into
five equal parts . Another Method . Á 1 2 3 4 1 . 16 PRACTICAL GEOMETRY .
... as 1 , 2 , 3 , 4 . 3 . From B , mark off on BD the same number of equal parts , as
1 , 2 , 3 , 4 . 4 . Join 1 4 , 2 3 , 3 2 , & c . , and the given line AB will be divided into
five equal parts . Another Method . Á 1 2 3 4 1 . 16 PRACTICAL GEOMETRY .
Side 17
Another Method . Á 1 2 3 4 1 . Draw a line AC of any length , and making any
angle with AB . 2 . From A mark off any five spaces on AC . 3 . From the end of the
last equal space , draw a line to B , as 5B . 4 . From the remaining points of
division ...
Another Method . Á 1 2 3 4 1 . Draw a line AC of any length , and making any
angle with AB . 2 . From A mark off any five spaces on AC . 3 . From the end of the
last equal space , draw a line to B , as 5B . 4 . From the remaining points of
division ...
Side 18
Another Method . 1 2 3 2 3 4 4 1 . Draw CE equal to AB , and at any angle with
CD , and join ED . 2 . Draw 4 4 , 3 3 , & c . , parallel to ED . 3 . Transfer the
divisions on the line CE to the given line AB , and then the divisions on the given
line AB ...
Another Method . 1 2 3 2 3 4 4 1 . Draw CE equal to AB , and at any angle with
CD , and join ED . 2 . Draw 4 4 , 3 3 , & c . , parallel to ED . 3 . Transfer the
divisions on the line CE to the given line AB , and then the divisions on the given
line AB ...
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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.