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

### Inni boken

Resultat 1-5 av 23

Side 4

A radius ( plural

circumference . Ex . AB17 . A diameter is a straight line drawn through the centre ,

and terminated at both extremities by the circumference . Ex . AB 18 . A semicircle

is half a ...

A radius ( plural

**radii**) is a straight line drawn from the centre to thecircumference . Ex . AB17 . A diameter is a straight line drawn through the centre ,

and terminated at both extremities by the circumference . Ex . AB 18 . A semicircle

is half a ...

Side 24

The three straight lines are all equal , since they are

19 . To construct an equilateral triangle having a given height ABE B F 1 . From

the extremities of the line AB , draw CAD and EBF perpendicular to it ( Pr . 2 ) . 2 .

The three straight lines are all equal , since they are

**radii**of equal arcs . Problem19 . To construct an equilateral triangle having a given height ABE B F 1 . From

the extremities of the line AB , draw CAD and EBF perpendicular to it ( Pr . 2 ) . 2 .

Side 26

NOTE . — Perpendiculars drawn from D to the three sides of the triangle are

equal in length . They would thus become the

inscribed within the triangle ( Euc . IV . 4 . ) Problem 23 . To construct a triangle ,

its base ...

NOTE . — Perpendiculars drawn from D to the three sides of the triangle are

equal in length . They would thus become the

**radii**of a circle which might beinscribed within the triangle ( Euc . IV . 4 . ) Problem 23 . To construct a triangle ,

its base ...

Side 47

From A as centre , with AE and AF as

, 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 ...

From A as centre , with AE and AF as

**radii**, describe circles . 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 ...

Side 49

To describe three circles having any given

tangential to the other two . 1 . Take any point D as centre , and with line A as

radius , describe a circle , and produce the radius DE outwards indefinitely 2 .

To describe three circles having any given

**radii**A , B , and C , each circle beingtangential to the other two . 1 . Take any point D as centre , and with line A as

radius , describe a circle , and produce the radius DE outwards indefinitely 2 .

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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.