## A graduated course of problems in practical plane and solid geometry |

### Inni boken

Side

SECTION PAGE CFINITIC . . 187 194 . I . DEFINITIONS , & c . . . . II .

TRACES OF LINES AND PLANES 199 . 212 . . . 226 V . FURTHER

SECTION PAGE CFINITIC . . 187 194 . I . DEFINITIONS , & c . . . . II .

**PROJECTION**OF Points , Lines , & c . . III . ELEMENTARY SOLIDS . . . IV .TRACES OF LINES AND PLANES 199 . 212 . . . 226 V . FURTHER

**PROJECTIONS**OF SOLIDS VI . Side 189

These two “ planes of

horizontal plane and the vertical plane . They might be conveniently illustrated by

the floor and walls of a room ; the floor representing the horizontal plane , and the

...

These two “ planes of

**projection**, " as they are called , are distinguished as thehorizontal plane and the vertical plane . They might be conveniently illustrated by

the floor and walls of a room ; the floor representing the horizontal plane , and the

...

Side 190

From this it is evident that , when the

may be found , since it is the point of ... Secondly , the

obtained thusIset abxy be the horizontal plane of

...

From this it is evident that , when the

**projections**of a point are given , the pointmay be found , since it is the point of ... Secondly , the

**projections**of a line areobtained thusIset abxy be the horizontal plane of

**projection**, and cdyx the vertical...

Side 191

As soon as the foregoing

easily comprehend the

planes of

As soon as the foregoing

**projections**are thoroughly understood , the student willeasily comprehend the

**projection**of a solid ; e . g . - Let abxy and cdxy be theplanes of

**projection**, and ABCD , & c . , the position in space of a regular solid . Side 194

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 bound called centre circumference cloth complete cone construct contained curve cutting cylinder describe a circle describe an arc describe arcs determine diagonal distance divide division draw a line draw lines drawn edge elevation ellipse equal equal in area equilateral triangle extremities face figure four given circle given line given point given triangle ABC half height hexagon horizontal plane inches inclined inscribe intersection isosceles triangle Join length lines parallel Maps mark meeting 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 seen semicircle sides similar solid square tangent 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.