THE ILLUSTRATED

LONDON

PRACTICAL GEOMETRY,

AND ITS APPLICATION TO

ARCHITECTURAL DRAWING.

FOR THE USE OF SCHOOLS AND STUDENTS.

BY ROBERT SCOTT BURN, M.E.,M.S.A.

EDITOR OF THE "ILLUSTRATED LONDON DRAWING BOOK," ETC. ETC. ETC.

INGRAM,

LONDON:

COOKE, AND CO.

1853.

183. b. 2.

19 Circle-to inscribe an octagon in a

to inscribe a dodecagon in a given

about a triangle, to describe a

about a square, to describe a

to describe a pentagon about a

to describe four circles within a

within a triangle to inscribe three

to bisect the quadrant of a

-to construct one greater than 90 degrees 20

-to construct one by means of the "Pro-

tractor"

-to construct one by means of the "Scale

of Chords"

Circle-to find the centre of a

to find the centre; part of the circum-

20

20

25

Circumference-part of being given, to find the
centre from which the circle is de-
scribed of which it is a part

ference being given (three methods)25 27 28 Cissoid-to describe the curve

to inscribe within a triangle a

35

Conchoid-to describe the curve

to inscribe an equilateral triangle within a 40 Cycloid-to describe the curve

25

56

- 55

54

37

18

53

42

to "bisect" a given

to divide into any number of parts a given 16 Scale of Chords-to construct

to divide a line into parts, having the

same proportion as those on a given

to divide into extreme and mean ratio a

given

proportional to lines of a certain length

each, to cut a given

a, being given, representing the sum of

two lines, of which a mean proportional

also is given, to find the point which

divides the line into two unequal lengths

Lines to find a third proportional to two given

to find a fourth proportional to three given 22

to find a mean proportional to two given

to divide, so that the parts will be pro-

portional to one another, two given

two, converging to a point not given, to

draw other lines converging to the same

point

Nonagon-to describe a

equal

Spiral on a given line to describe a

Square-the side being given, to construct a

on a given line, to construct a

in a triangle, to inscribe a

in a given square, to inscribe a

-to construct an angle by means of the

-to construct a parallelogram by the

-to construct a rhombus by the

-to construct irregular figures by the

Quadrilateral-to reduce a polygon to a

to reduce to a triangle a given

Quadrant-to bisect a

Rhombus the side and angle being given, to

construct a

Right Angled Triangle the base and perpendi-

cular being given, to construct a

Scalene Triangle the three sides being given to

construct a

Scales of Feet and Inches to construct

Segments-from a given circle, to cut off two

to inscribe a hexagon in a given

to inscribe a circle within a

2222 2

to inscribe an octagon within a

21

to inscribe an isosceles triangle within

a given

in a circle, to inscribe a

23

in a given pentagon, to inscribe a

about a circle, to describe a

to describe a pentagon about a given

to describe an octagon about a

to describe an equilateral triangle about a

to inscribe four circles within a