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

### Inni boken

Resultat 1-5 av 89

Side

Straight lines and arcs should always be drawn sufficiently long at first , as you

cannot produce a line , or continue an arc , with such accuracy , if the pencil is

taken off the paper , or the point of the compasses is removed from the

Straight lines and arcs should always be drawn sufficiently long at first , as you

cannot produce a line , or continue an arc , with such accuracy , if the pencil is

taken off the paper , or the point of the compasses is removed from the

**centre**. Side 1

A COURSE OF PROBLEMS PRACTICAL PLANE GEOMETRY . Section 1 . -

LINES AND ANGLES . DEFINITIONS . 1 . A point denotes position only . It has no

magnitude , hence the true mathematical point is merely the

A COURSE OF PROBLEMS PRACTICAL PLANE GEOMETRY . Section 1 . -

LINES AND ANGLES . DEFINITIONS . 1 . A point denotes position only . It has no

magnitude , hence the true mathematical point is merely the

**centre**of the dot . Side 4

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

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

Angles at the

Hence , a quadrant will contain an angle of 90° , i . e . , a right angle . A degree is

divided into 60 equal parts , called minutes , marked ' ; and each minute into 60 ...

Angles at the

**centre**of a circle are proportional to the arcs on which they stand .Hence , a quadrant will contain an angle of 90° , i . e . , a right angle . A degree is

divided into 60 equal parts , called minutes , marked ' ; and each minute into 60 ...

Side 6

From point A as

the arc DE . 2 . From point B as

, intersecting the arc DE in H and K . 3 . Draw the straight line HK , and the given

...

From point A as

**centre**, with any radius greater than half the line AB , describethe arc DE . 2 . From point B as

**centre**, with the same radius , describe the arc FG, intersecting the arc DE in H and K . 3 . Draw the straight line HK , and the given

...

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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

### 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.