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

### Inni boken

Side

...

straight lines inclined to each other at an angle of 60° . 9 . Proportional

Compasses . — This instrument is used for reducing or enlarging a figure in any

...

**circle**, then a line drawn on the paper between these two points will give twostraight lines inclined to each other at an angle of 60° . 9 . Proportional

Compasses . — This instrument is used for reducing or enlarging a figure in any

**required**... Side

For drawing purposes , two of these at least are

and the HHH ; one ( HHH ) for drawing lines ... pointed , but the paper should be

pierced as little as possible by the point which constitutes the centre of the

For drawing purposes , two of these at least are

**necessary**, viz . , the H pencil ,and the HHH ; one ( HHH ) for drawing lines ... pointed , but the paper should be

pierced as little as possible by the point which constitutes the centre of the

**circle**. Side 12

Then FBA is the

of 71° may be constructed by bisecting the angle FBA . NOTE 2 . — The radius of

a

Then FBA is the

**required**angle of 15° . Note 1 . - In the same manner , an angleof 71° may be constructed by bisecting the angle FBA . NOTE 2 . — The radius of

a

**circle**is one - sixth of its circumference . It is on this principle that the angle D ... Side 24

From A draw lines through H and G , meeting EF in E and F . Then A EF is the

equilateral triangle

six times round its circumference , hence the arc HG is 60° . Moreover , the three

...

From A draw lines through H and G , meeting EF in E and F . Then A EF is the

equilateral triangle

**required**. NOTE . — The radius of a**circle**can be marked offsix times round its circumference , hence the arc HG is 60° . Moreover , the three

...

Side 26

They would thus become the radii of a

triangle ( Euc . IV . 4 . ) Problem 23 . To construct a ... Produce the sides until they

meet in E . Then CED is the

They would thus become the radii of a

**circle**which might be inscribed within thetriangle ( Euc . IV . 4 . ) Problem 23 . To construct a ... Produce the sides until they

meet in E . Then CED is the

**required**triangle . Problem 24 . To construct a ...### Hva folk mener - Skriv en omtale

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### Vanlige uttrykk og setninger

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

### 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.