A graduated course of problems in practical plane and solid geometry |
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Resultat 1-5 av 40
Side 56
Multilateral figures , or polygons , are those which are contained by more than
four straight lines ” ( Euc . I . , Def . 23 ) . NOTE . — A polygon is either regular or
irregular . 2 . A regular polygon is one that has all its sides and all its angles
equal .
Multilateral figures , or polygons , are those which are contained by more than
four straight lines ” ( Euc . I . , Def . 23 ) . NOTE . — A polygon is either regular or
irregular . 2 . A regular polygon is one that has all its sides and all its angles
equal .
Side 57
A hexagon A heptagon An octagon A nonagon A decagon 10 » An un - decagon
A do - decagon Problem 62 – ( A . ) To inscribe any regular polygon ( say a
pentagon ) in a given circle A . General Method . 1 . Draw a diameter BC , and
divide ...
A hexagon A heptagon An octagon A nonagon A decagon 10 » An un - decagon
A do - decagon Problem 62 – ( A . ) To inscribe any regular polygon ( say a
pentagon ) in a given circle A . General Method . 1 . Draw a diameter BC , and
divide ...
Side 58
( B . ) To inscribe any regular polygon ( say an octagon ) in a given circle A .
Another General Method . 1 . Draw any radius AB , and at B draw a tangent to the
circle ( Pr . 54 ) . 2 . From B , with any radius , describe a semicircle CDE , and
divide ...
( B . ) To inscribe any regular polygon ( say an octagon ) in a given circle A .
Another General Method . 1 . Draw any radius AB , and at B draw a tangent to the
circle ( Pr . 54 ) . 2 . From B , with any radius , describe a semicircle CDE , and
divide ...
Side 59
With DF as radius starting from D , cut the circle in the points G , H , K , and I
successively . 6 . Join DG , GH , & c . , by straight lines , and a regular pentagon
will be inscribed within a given circle A . Problem 64 . To inscribe a regular
hexagon ...
With DF as radius starting from D , cut the circle in the points G , H , K , and I
successively . 6 . Join DG , GH , & c . , by straight lines , and a regular pentagon
will be inscribed within a given circle A . Problem 64 . To inscribe a regular
hexagon ...
Side 60
Join BD , DF , & c . , and the required regular hexagon is inscribed in the given
circle A . Problem 65 . To inscribe a regular heptagon within a giden circle A . 1 .
Draw any radius AB , and from B , with BA as radius , describe an arc CAD cutting
...
Join BD , DF , & c . , and the required regular hexagon is inscribed in the given
circle A . Problem 65 . To inscribe a regular heptagon within a giden circle A . 1 .
Draw any radius AB , and from B , with BA as radius , describe an arc CAD cutting
...
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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.