The diameter or circumference of a
circle being given, to find the side of
an equivalent square.....
The diameter or circumference of a
circle being given, to find the side of
the inscribed square
To find the diameter of a circle, equal
in area to any given superficies....
The diameter of a circle being given, to
find another containing a proportion-
ate quantity..

To find the length of a circular arc
when the number of degrees and the
radius are known...

To find the length of the arc of a circle
when the chord and radius are given,
or of any arc of a circle.
The chord and versed sine given, to
find the diameter of a circle..
The versed sine of an arc, and the di-
ameter of the circle given, to find the
chord..

The chord and versed sine given, to
find the area of a sector....

To find the area of a segment of a
circle..

To find the area of an ellipse

Review of Mensuration of Superficies..

PART II.

MENSURATION OF SOLIDS.

Definitions

Page

66

66

67

143

67

To find the solidity of a spherical seg-
ment with one base..

68

To find the solidity of a spherical seg-
ment with two bases.

68

(Table)..

69

To find the surface of a regular solid
when the length of the linear edge is
given.

95

69

To find the solidity of a regular solid
when the length of the linear edge is
known...

96

Review of Mensuration of Solids....

To find the area of the surface of a
cube
The area of the surface of a cube being
given, to find the length of the side.
To find the solidity of a cube, the length
of one of the sides being given..
To find the side of a cube, the solidity
being given.

77

100

Having one dimension of a plank or
board given, to find the other dimen-
sion, so that the plank shall contain
a given area...
To find the solid content of square tim-
ber when the ends are equal squares 100
When the ends are unequal squares.. 101
Having the area of the end of a square
piece of timber, to find the length
which must be cut off to obtain a
given solidity...

101

cone

To find the solidity of a cone..

To find the solidity of round timber... 101
When the log tapers regularly from
one end to the other...

102

To find the frustum of a right cone...
To find the solidity of the frustum of

To find the number of cord feet in a

log

103

a cone

Saw logs

103

The solidity and altitude of a cone
being given, to find the diameter....
The solidity and diameter of a cone
being given, to find the altitude

To find the surface of a regular pyra-
mid.

To find the solidity of a pyramid
To find the convex surface of the frus-
tum of a pyramid..

Masons' work

103

104

...

To find the number of hogsheads which
a cistern of given dimensions will
contain

105

The diameter of a cistern being given,
to find the height, so that it shall
contain a given number of hogsheads 105
Bricklayers' work

105

To find the solidity of the frustum of a
pyramid

To find the number of bricks required

to build a wall of given dimensions. 106

To find the solidity of a wedge.
To find the solidity of a prismoid.
To find the convex superficies of a
cylindric ring..

Brick work..

106

Carpenters' and joiners' work.

107

Slaters' and tilers' work.

107

108

To find the solidity of a cylindric ring.
The solidity and thickness of a cylin-

Painters' work..

.............

109

Pavers' work

109