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

### Inni boken

Resultat 1-5 av 33

Side 20

TRIANGLES . . DEFINITIONS . ( Hitherto we have treated only of LINES and

ANGLES . ) 1 . “ A figure is that which is inclosed by ... Hence the triangle is the

most simple of all rectilineal figures . ... An

three.

TRIANGLES . . DEFINITIONS . ( Hitherto we have treated only of LINES and

ANGLES . ) 1 . “ A figure is that which is inclosed by ... Hence the triangle is the

most simple of all rectilineal figures . ... An

**equilateral triangle**is that which hasthree.

Side 21

An

isosceles triangle is that which has only two sides equal . Ex . ABCBT 6 . A

scalene triangle is that which has three unequal sides . E . c . ABCNOTE . — The

above terms ...

An

**equilateral triangle**is that which has three equal sides . Er , ABC5 . Anisosceles triangle is that which has only two sides equal . Ex . ABCBT 6 . A

scalene triangle is that which has three unequal sides . E . c . ABCNOTE . — The

above terms ...

Side 23

The altitude of a

perpendicular drawn from the vertex to the base , or to the base produced . Ex .

AB13 . The perimeter of a figure is its whole boundary . Thus , if one side of an

The altitude of a

**triangle**is its perpendicular height , i . e . , the length of aperpendicular drawn from the vertex to the base , or to the base produced . Ex .

AB13 . The perimeter of a figure is its whole boundary . Thus , if one side of an

**equilateral**... Side 24

Then ABC is the required

are all equal , since they are radii of equal arcs . Problem 19 . To construct an

...

Then ABC is the required

**equilateral triangle**. NOTE . — The three straight linesare all equal , since they are radii of equal arcs . Problem 19 . To construct an

**equilateral triangle**having a given height ABE B F 1 . From the extremities of the...

Side 72

James Martin (of the Wedgwood inst, Burslem.) 3 . On CA , as an altitude ,

construct an

C , with radius CE or CD , describe a circle . 5 . From point E , mark off the

distance ED ...

James Martin (of the Wedgwood inst, Burslem.) 3 . On CA , as an altitude ,

construct an

**equilateral triangle**, having its vertical angle at C ( Pr . 19 ) . 4 . FromC , with radius CE or CD , describe a circle . 5 . From point E , mark off the

distance ED ...

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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.