A graduated course of problems in practical plane and solid geometry |
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Side 11
... radius , cut the arc in D . 3 . Draw the line DB . Then DBA is the required angle
of 4 . Bisect the angle DBA by the line EB. 60 . NOTE 2 . As every rectilineal figure
contains as many PRACTICAL GEOMETRY .
... radius , cut the arc in D . 3 . Draw the line DB . Then DBA is the required angle
of 4 . Bisect the angle DBA by the line EB. 60 . NOTE 2 . As every rectilineal figure
contains as many PRACTICAL GEOMETRY .
Side 20
( Hitherto we have treated only of LINES and ANGLES . ) 1 . “ A figure is that
which is inclosed by one or more boundaries ” ( Euc . I . Def . 14 ) . 2 . “
Rectilineal figures are those which are contained by straight lines ” ( Euc . I . Def .
20 ) . NOTE .
( Hitherto we have treated only of LINES and ANGLES . ) 1 . “ A figure is that
which is inclosed by one or more boundaries ” ( Euc . I . Def . 14 ) . 2 . “
Rectilineal figures are those which are contained by straight lines ” ( Euc . I . Def .
20 ) . NOTE .
Side 56
( In the construction of rectilineal figures , we have hitherto treated of only
TRILATERAL and QUADRILATERAL figures . Sections II . and III . ) 1 . “
Multilateral figures , or polygons , are those which are contained by more than
four straight lines ...
( In the construction of rectilineal figures , we have hitherto treated of only
TRILATERAL and QUADRILATERAL figures . Sections II . and III . ) 1 . “
Multilateral figures , or polygons , are those which are contained by more than
four straight lines ...
Side 87
Inscribed ' figures . Inscribed figures are either rectilineal or circular . ( a . ) A
rectilineal figure is said to be inscribed in another rectilineal figure , when all the
angles of the inscribed figure are upon the sides of the figure in which it is
inscribed .
Inscribed ' figures . Inscribed figures are either rectilineal or circular . ( a . ) A
rectilineal figure is said to be inscribed in another rectilineal figure , when all the
angles of the inscribed figure are upon the sides of the figure in which it is
inscribed .
Side 93
DESCRIBED FIGURES . TION DEFINITIONS . 1 . Described figures . Described
figures are either rectilineal or circular . ( a . ) A rectilineal figure is said to be
described about another rectilineal figure , when all the sides of the
circumscribed ...
DESCRIBED FIGURES . TION DEFINITIONS . 1 . Described figures . Described
figures are either rectilineal or circular . ( a . ) A rectilineal figure is said to be
described about another rectilineal figure , when all the sides of the
circumscribed ...
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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 295 - Philips' Preparatory Atlas, Containing Sixteen Maps, full colored. Crown quarto, in neat cover, 6d. Philips Preparatory Outline Atlas. Sixteen Maps. Crown quarto, printed on fine cream-wove paper, in neat cover, 6d. Philips Preparatory Atlas of Blank Projections. Sixteen Maps. Crown quarto, printed on fine cream-wove paper, in neat cover, 6d. Philips Elementary Atlas for Young Learners.
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.