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

### Inni boken

Resultat 1-5 av 22

Side 1

Ex . ABA The ends of lines are points , and when lines cut each other they are

said to intersect , and the point where they cross each other is

intersection . Ex . ANOTE . - Lines are of two kinds — viz . , straight or right lines ...

Ex . ABA The ends of lines are points , and when lines cut each other they are

said to intersect , and the point where they cross each other is

**called**the point ofintersection . Ex . ANOTE . - Lines are of two kinds — viz . , straight or right lines ...

Side 4

A circle is a figure contained by one curved line , which is

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

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

The point where it touches the circle is

NOTE 1 . - The circumference of every circle is supposed to be divided into 360

equal parts ,

The point where it touches the circle is

**called**the point of contact . Ex . B . ВNOTE 1 . - The circumference of every circle is supposed to be divided into 360

equal parts ,

**called**degrees , marked . Hence , a semicircle will contain 180° ; a ... Side 20

Ex . ABCNOTE 1 . - It is therefore

equilateral triangle is that which has three. NOTE 2 . As every rectilineal figure

contains as many angles as sides , it is often named from its angles or corners .

Ex . ABCNOTE 1 . - It is therefore

**called**a trilateral , or three - sided figure . 4 . Anequilateral triangle is that which has three. NOTE 2 . As every rectilineal figure

contains as many angles as sides , it is often named from its angles or corners .

Side 21

The side which is opposite the right angle ( AC ) is

other sides are

the figure . 8 . An obtuse - angled triangle is that which PRACTICAL GEOMETRY

...

The side which is opposite the right angle ( AC ) is

**called**the hypotenuse . Theother sides are

**called**the base , and perpendicular , irrespective of the position ofthe figure . 8 . An obtuse - angled triangle is that which PRACTICAL GEOMETRY

...

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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 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.