A graduated course of problems in practical plane and solid geometry |
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Side
ELEMENTARY SOLIDS . . . IV . TRACES OF LINES AND PLANES 199 . 212 . . .
226 V . FURTHER PROJECTIONS OF SOLIDS VI . SECTIONS . 245 VII .
PENETRATIONS OF SOLIDS . 260 264 MISCELLANEOUS EXERCISES IN
PRACTICAL ...
ELEMENTARY SOLIDS . . . IV . TRACES OF LINES AND PLANES 199 . 212 . . .
226 V . FURTHER PROJECTIONS OF SOLIDS VI . SECTIONS . 245 VII .
PENETRATIONS OF SOLIDS . 260 264 MISCELLANEOUS EXERCISES IN
PRACTICAL ...
Side 211
Again , let the plan be given , the elevation of it will be a circle represented in
plan by the straight line BC . NOTE . — If a semicircle revolve upon its diameter ,
it generates the surface of a sphere . Section IV . TRACES OF LINES AND
PLANES .
Again , let the plan be given , the elevation of it will be a circle represented in
plan by the straight line BC . NOTE . — If a semicircle revolve upon its diameter ,
it generates the surface of a sphere . Section IV . TRACES OF LINES AND
PLANES .
Side 212
The points in which any line intersects the co - ordinate planes are called the
traces of that line , and these traces are ... are termed the traces of that plane ,
and are distinguished as the horizontal or vertical trace , according to the plane of
...
The points in which any line intersects the co - ordinate planes are called the
traces of that line , and these traces are ... are termed the traces of that plane ,
and are distinguished as the horizontal or vertical trace , according to the plane of
...
Side 213
Given the traces of a line , to find its projections . Let AB ' be the traces of the
given line ; i . e . , A and B ' are the points where a line in space meets the planes
of projection . ZA The line joining A and B ' will be the line in space . First , let us
find ...
Given the traces of a line , to find its projections . Let AB ' be the traces of the
given line ; i . e . , A and B ' are the points where a line in space meets the planes
of projection . ZA The line joining A and B ' will be the line in space . First , let us
find ...
Side 215
... vertical plane by p . , Problem 24 . The traces of two planes being given , to find
the projections of their common intersection . Let AB and AC be the horizontal
traces of the two planes , meeting in A ; and DB , D ' C , the vertical traces of the ...
... vertical plane by p . , Problem 24 . The traces of two planes being given , to find
the projections of their common intersection . Let AB and AC be the horizontal
traces of the two planes , meeting in A ; and DB , D ' C , the vertical traces of the ...
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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.
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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.