A graduated course of problems in practical plane and solid geometry |
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Resultat 1-5 av 80
Side 8
From point C , with the same radius , cut the arc in D ; from 1 , with the same
radius , describe an arc EF , cutting CDE in E ; and from E , with the same radius ,
cut the arc EF in F . 3 . Draw the line FB , and it will be perpendicular to , or at
right ...
From point C , with the same radius , cut the arc in D ; from 1 , with the same
radius , describe an arc EF , cutting CDE in E ; and from E , with the same radius ,
cut the arc EF in F . 3 . Draw the line FB , and it will be perpendicular to , or at
right ...
Side 9
1 . Take any point Din the given line AB towards A . Join DC , and bisect it in E (
Pr . 1 ) . 2 . From E as centre , with ED as radius , describe an arc cutting AB in F .
3 . Draw the line CF , and it will be perpendicular to the given straight line AB .
1 . Take any point Din the given line AB towards A . Join DC , and bisect it in E (
Pr . 1 ) . 2 . From E as centre , with ED as radius , describe an arc cutting AB in F .
3 . Draw the line CF , and it will be perpendicular to the given straight line AB .
Side 11
From centres D and E , with the same radius , cut arc DE in G and F . 3 . Draw the
straight lines BF and BG , and the given right angle ABC will be trisected , that is ,
divided into three equal angles . Note . It is only the right angle which ( strictly ...
From centres D and E , with the same radius , cut arc DE in G and F . 3 . Draw the
straight lines BF and BG , and the given right angle ABC will be trisected , that is ,
divided into three equal angles . Note . It is only the right angle which ( strictly ...
Side 13
Take any point D in the given line AB towards A as centre ; and from . D , with
radius DC , describe an arc cutting AB in E . 2 . From C as centre , with the same
radius , describe an arc DF , and make arc DF equal to arc CE . 3 . Draw the line
FC ...
Take any point D in the given line AB towards A as centre ; and from . D , with
radius DC , describe an arc cutting AB in E . 2 . From C as centre , with the same
radius , describe an arc DF , and make arc DF equal to arc CE . 3 . Draw the line
FC ...
Side 15
Make EF equal to AE , and join BF , cutting CD in G . 3 . Draw the line AG . Then
the angles AGC and BGD are equal , and AG and BG are the required lines .
Problem 14 . To draw straight lines from any two given points A and B outside a ...
Make EF equal to AE , and join BF , cutting CD in G . 3 . Draw the line AG . Then
the angles AGC and BGD are equal , and AG and BG are the required lines .
Problem 14 . To draw straight lines from any two given points A and B outside a ...
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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.