A graduated course of problems in practical plane and solid geometry |
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Finally , in order to make the volume complete , it closes with an index of all the
problems given in both parts . JAMES MARTIN . WEDGWOOD INSTITUTE ,
BURSLEM . CONTENTS . PAGE ON DRAWING INSTRUMENTS , vii HINTS ON ...
Finally , in order to make the volume complete , it closes with an index of all the
problems given in both parts . JAMES MARTIN . WEDGWOOD INSTITUTE ,
BURSLEM . CONTENTS . PAGE ON DRAWING INSTRUMENTS , vii HINTS ON ...
Side 67
Find the centre of the circle that contains it , and complete the heptagon . Then
AB . . . . . . I will be the heptagon required . Problem 74 . To construct a regular
octagon on a given line AB . 1 . Produce AB both ways , and erect perpendiculars
at ...
Find the centre of the circle that contains it , and complete the heptagon . Then
AB . . . . . . I will be the heptagon required . Problem 74 . To construct a regular
octagon on a given line AB . 1 . Produce AB both ways , and erect perpendiculars
at ...
Side 70
... the centre of the circle . 9 . Mark off , on the circumference , the divisions 1 2 ,
23 , & c . , equal to B 1 . Join 1 2 , 23 , & c . , and an un - decagon is constructed
on the given line AB . Problem 78 . To complete a regular polygon , its
PRACTICAL ...
... the centre of the circle . 9 . Mark off , on the circumference , the divisions 1 2 ,
23 , & c . , equal to B 1 . Join 1 2 , 23 , & c . , and an un - decagon is constructed
on the given line AB . Problem 78 . To complete a regular polygon , its
PRACTICAL ...
Side 71
To complete a regular polygon , its two sides AB , BC being given . 1 . Bisect the
lines AB , BC by perpendiculars meeting at O ( Pr . 1 ) . 2 . With centre 0 , and
radius 04 , describe the circle . 3 . From A , mark off the distance AB to DE , & c .
To complete a regular polygon , its two sides AB , BC being given . 1 . Bisect the
lines AB , BC by perpendiculars meeting at O ( Pr . 1 ) . 2 . With centre 0 , and
radius 04 , describe the circle . 3 . From A , mark off the distance AB to DE , & c .
Side 78
From K and L , with radius KD , describe arcs MN , OP ; and from G and H , with
radius HB , describe arcs Mo , PN , which complete the required ellipse . NOTE .
— Lines drawn from K and L , through G and H , will show where the four arcs ...
From K and L , with radius KD , describe arcs MN , OP ; and from G and H , with
radius HB , describe arcs Mo , PN , which complete the required ellipse . NOTE .
— Lines drawn from K and L , through G and H , will show where the four arcs ...
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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 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.