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

### Inni boken

Resultat 1-5 av 19

Side 73

In order to understand the following definitions clearly , we must refer to that

SOLID which is called a

a circle , but which tapers to a point from the base upward . Ex . ABCB - - - Note 1

.

In order to understand the following definitions clearly , we must refer to that

SOLID which is called a

**CONE**. 1 . A**cone**is a solid figure , the base of which isa circle , but which tapers to a point from the base upward . Ex . ABCB - - - Note 1

.

Side 74

But if a

. An ellipse is a section of a

the base . Ex . ABNOTE 1 . - Such a figure has two diameters , unequal in length

...

But if a

**cone**be cut in some other way , the section has a distinctive name . Thus2. An ellipse is a section of a

**cone**, produced by a plane which is not parallel tothe base . Ex . ABNOTE 1 . - Such a figure has two diameters , unequal in length

...

Side 75

A hyperbola is a section of a

axis . Ex . ABCА с NOTE 1 . - - AB is termed its double ordinate , AC its ordinate ,

CD its abscissa , and CE its diameter . NOTE 2 . — The three foregoing sections ...

A hyperbola is a section of a

**cone**, produced by a plane which is parallel to itsaxis . Ex . ABCА с NOTE 1 . - - AB is termed its double ordinate , AC its ordinate ,

CD its abscissa , and CE its diameter . NOTE 2 . — The three foregoing sections ...

Side 199

James Martin (of the Wedgwood inst, Burslem.) Section III . ELEMENTARY

SOLIDS . The solids most commonly used to illustrate the principles of Solid

Geometry are as follows : the cube , prism , pyramid , sphere ,

. ( 1 . ) ...

James Martin (of the Wedgwood inst, Burslem.) Section III . ELEMENTARY

SOLIDS . The solids most commonly used to illustrate the principles of Solid

Geometry are as follows : the cube , prism , pyramid , sphere ,

**cone**, and cylinder. ( 1 . ) ...

Side 209

A

Problem 19 . To find the elevation of a

the plan of a

line at right ...

A

**cone**may be defined as a pyramid , having an infinite number of faces .Problem 19 . To find the elevation of a

**cone**, its plan being given . Let ABC bethe plan of a

**cone**. It is required to find its elevation . From the point A , draw aline at right ...

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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 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.