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

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Resultat 1-5 av 14

Side 4

A circle is a figure

, and is such that every portion of it is equidistant from a certain point within it

called its centre . Ex . A15 . An arc is any portion of the circumference . Ex . AB16 .

A circle is a figure

**contained**by one curved line , which is called its circumference, and is such that every portion of it is equidistant from a certain point within it

called its centre . Ex . A15 . An arc is any portion of the circumference . Ex . AB16 .

Side 5

James Martin (of the Wedgwood inst, Burslem.) 18 . A semicircle is half a circle ,

and it is

tangent is a straight line which meets a circle , and , being produced , does not

cut it .

James Martin (of the Wedgwood inst, Burslem.) 18 . A semicircle is half a circle ,

and it is

**contained**by a diameter and half the circumference . Ex . ABC19 . Atangent is a straight line which meets a circle , and , being produced , does not

cut it .

Side 20

Rectilineal figures are those which are

20 ) . NOTE . - - " Two straight lines cannot inclose a space ” ( Euc . I . Ax . 10 ) .

Hence the triangle is the most simple of all rectilineal figures . 3 . A triangle is a ...

Rectilineal figures are those which are

**contained**by straight lines ” ( Euc . I . Def .20 ) . NOTE . - - " Two straight lines cannot inclose a space ” ( Euc . I . Ax . 10 ) .

Hence the triangle is the most simple of all rectilineal figures . 3 . A triangle is a ...

Side 47

Then the areas 1 , 2 , 3 ,

Problem 49 . To divide a given circle into any number of parts , which shall be

equal both in area and outline . 1 . Draw any diameter AB , and divide it into the

required ...

Then the areas 1 , 2 , 3 ,

**contained**between these circles , will be equal .Problem 49 . To divide a given circle into any number of parts , which shall be

equal both in area and outline . 1 . Draw any diameter AB , and divide it into the

required ...

Side 56

Multilateral figures , or polygons , are those which are

four straight lines ” ( Euc . I . , Def . 23 ) . NOTE . — A polygon is either regular or

irregular . 2 . A regular polygon is one that has all its sides and all its angles

equal .

Multilateral figures , or polygons , are those which are

**contained**by more thanfour straight lines ” ( Euc . I . , Def . 23 ) . NOTE . — A polygon is either regular or

irregular . 2 . A regular polygon is one that has all its sides and all its angles

equal .

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### Vanlige uttrykk og setninger

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

### Populære avsnitt

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.