A graduated course of problems in practical plane and solid geometry |
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Side
ELLIPSES , & c . . . VII . INSCRIBED FIGURES . VIII . DESCRIBED FIGURES . . . .
. IX . PROPORTIONALS . 124 . 131 . . 137 X . SIMILAR FIGURES : XI .
EQUIVALENT AREAS . XII . MISCELLANEOUS PROBLEMS XIII . SCALES . . . .
167 .
ELLIPSES , & c . . . VII . INSCRIBED FIGURES . VIII . DESCRIBED FIGURES . . . .
. IX . PROPORTIONALS . 124 . 131 . . 137 X . SIMILAR FIGURES : XI .
EQUIVALENT AREAS . XII . MISCELLANEOUS PROBLEMS XIII . SCALES . . . .
167 .
Side 72
... describe a circle . 5 . From point E , mark off the distance ED to FG , & c . Join
EF , FG , & c . , and a regular hexagon will be con structed , having the given
diameter AB . Section VI . - ELLIPSES , & C . DEFINITIONS PRACTICAL
GEOMETRY .
... describe a circle . 5 . From point E , mark off the distance ED to FG , & c . Join
EF , FG , & c . , and a regular hexagon will be con structed , having the given
diameter AB . Section VI . - ELLIPSES , & C . DEFINITIONS PRACTICAL
GEOMETRY .
Side 73
ELLIPSES , & C . DEFINITIONS . In order to understand the following definitions
clearly , we must refer to that SOLID which is called a CONE . 1 . A cone is a solid
figure , the base of which is a circle , but which tapers to a point from the base ...
ELLIPSES , & C . DEFINITIONS . In order to understand the following definitions
clearly , we must refer to that SOLID which is called a CONE . 1 . A cone is a solid
figure , the base of which is a circle , but which tapers to a point from the base ...
Side 74
An ellipse is a section of a cone , produced by a plane which is not parallel to the
base . Ex . ABNOTE 1 . - Such a figure has two diameters , unequal in length ; viz
. , the long diameter A B , called the transverse or major axis , and the short ...
An ellipse is a section of a cone , produced by a plane which is not parallel to the
base . Ex . ABNOTE 1 . - Such a figure has two diameters , unequal in length ; viz
. , the long diameter A B , called the transverse or major axis , and the short ...
Side 75
To describe an ellipse , its axes or transverse and conjugate diameters AB and
CD being given . 1 . Place the transverse diameter AB and the conjugate
diameter CD perpendicular to each other at their centres E . 2 . Through A and B
draw the ...
To describe an ellipse , its axes or transverse and conjugate diameters AB and
CD being given . 1 . Place the transverse diameter AB and the conjugate
diameter CD perpendicular to each other at their centres E . 2 . Through A and B
draw 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.
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.