A graduated course of problems in practical plane and solid geometry |
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Side
PROJECTION OF Points , Lines , & c . . III . ELEMENTARY SOLIDS . . . IV .
TRACES OF LINES AND PLANES 199 . 212 . ... 260 264 MISCELLANEOUS
EXERCISES IN PRACTICAL PLANE GEOMETRY MISCELLANEOUS
EXERCISES IN ...
PROJECTION OF Points , Lines , & c . . III . ELEMENTARY SOLIDS . . . IV .
TRACES OF LINES AND PLANES 199 . 212 . ... 260 264 MISCELLANEOUS
EXERCISES IN PRACTICAL PLANE GEOMETRY MISCELLANEOUS
EXERCISES IN ...
Side 189
plan and elevation being represented as a surface , drawn on the same plane —
whereas they really represent objects as covering two planes at right angles to
one another . 6 . These two “ planes of projection , " as they are called , are ...
plan and elevation being represented as a surface , drawn on the same plane —
whereas they really represent objects as covering two planes at right angles to
one another . 6 . These two “ planes of projection , " as they are called , are ...
Side 190
Secondly , the projections of a line are obtained thusIset abxy be the horizontal
plane of projection , and cdyx the vertical , also let AB be the position of a line in
space . It is required to find the projections of the line AB upon abxy and cdyx .
Secondly , the projections of a line are obtained thusIset abxy be the horizontal
plane of projection , and cdyx the vertical , also let AB be the position of a line in
space . It is required to find the projections of the line AB upon abxy and cdyx .
Side 191
As soon as the foregoing projections are thoroughly understood , the student will
easily comprehend the projection of a solid ; e . g . - Let abxy and cdxy be the
planes of projection , and ABCD , & c . , the position in space of a regular solid .
As soon as the foregoing projections are thoroughly understood , the student will
easily comprehend the projection of a solid ; e . g . - Let abxy and cdxy be the
planes of projection , and ABCD , & c . , the position in space of a regular solid .
Side 194
PROJECTION OF POINTS , LINES , & c . Problem 1 . To find the plan of a point ,
its elevation being given . Let A ' be the elevation of the given point . It is required
to find its plan . From A ' draw a line perpendicular to xy . The plan of A ' will be ...
PROJECTION OF POINTS , LINES , & c . Problem 1 . To find the plan of a point ,
its elevation being given . Let A ' be the elevation of the given point . It is required
to find its plan . From A ' draw a line perpendicular to xy . The plan of A ' will be ...
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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.