A graduated course of problems in practical plane and solid geometry |
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Side 12
NOTE 3 . - By means of this problem , we might construct other angles . Thus , if
DBA be trisected by drawing lines to B , we obtain an angle of 20° . Bisect that ,
and we obtain an angle of 10° . Again , if angle FBC be trisected , by drawing
lines ...
NOTE 3 . - By means of this problem , we might construct other angles . Thus , if
DBA be trisected by drawing lines to B , we obtain an angle of 20° . Bisect that ,
and we obtain an angle of 10° . Again , if angle FBC be trisected , by drawing
lines ...
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 ...
Side 69
5 . From E , with radius EF , describe an arc , cutting the arc AB in G and H . 6 .
From C , with line GH as radius , cut the semicircle in 1 . 7 . Draw line Bl ; it is a
second side of the nonagon . 8 . Bisect B 1 , and obtain 0 , the centre of the circle
. 9 .
5 . From E , with radius EF , describe an arc , cutting the arc AB in G and H . 6 .
From C , with line GH as radius , cut the semicircle in 1 . 7 . Draw line Bl ; it is a
second side of the nonagon . 8 . Bisect B 1 , and obtain 0 , the centre of the circle
. 9 .
Side 70
Bisect B 1 , and obtain 0 , the centre of the circle . 7 . Mark off , on the
circumference , the divisions 1 2 , 23 , & c , equal to B 1 . Join 1 2 , 23 , & c . , and
a decagon is constructed on the given line AB . Problem 77 . To construct a
regular un ...
Bisect B 1 , and obtain 0 , the centre of the circle . 7 . Mark off , on the
circumference , the divisions 1 2 , 23 , & c , equal to B 1 . Join 1 2 , 23 , & c . , and
a decagon is constructed on the given line AB . Problem 77 . To construct a
regular un ...
Side 82
Draw the transverse axis BC ( Pr . 81 ) , and obtain the foci D and E ( Pr . 80 ) . 2 .
From D and E draw lines DA , EA through the given point of contact A , producing
one of them , as DA to F . 3 . Bisect the external angle FAE in G ( Pr . 4 ) . 4 .
Draw the transverse axis BC ( Pr . 81 ) , and obtain the foci D and E ( Pr . 80 ) . 2 .
From D and E draw lines DA , EA through the given point of contact A , producing
one of them , as DA to F . 3 . Bisect the external angle FAE in G ( Pr . 4 ) . 4 .
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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.