PROB.

III. To find the convex surface of the frustum of a

cone

IV. To find the convex superficies of a sphere

PAGE

V. To find the convex superficies of the segment of a

sphere

211

VI. To find the convex superficies of a spherical

zone

VII. To find the convex superficies of an annulus

212

213

Definition

Of Specific Gravity.

I. The weight of a body being given, to find the so-

II. The linear dimensions of a body being given, to

find its weight

214

Of the five Regular Solids.

Definition

I. To find the superficies and solidity of any of the

five regular solids

Irregular Surfaces and Solids.

Definition

I. To measure any irregular surface, by means of

equidistant ordinates

PROB.

II. To find the superficies of any plane figure, partly

curved, and partly right lined

III. To measure any irregular figure, wholly bounded

by right lines

PAGE

227

229.

IV. To find the solidity of a solid, by means of equi-

distant sections or planes

230

Measuring Timber.

I. To measure timber scantling

II. To measure timber trees, or unsquared timber

231

232

ARTIFICERS WORKS.

Bricklayers Work.

1. To find the number of rods contained in a piece of

brick work

II. To find the quantity of materials for building a

wall in brick work

III. To measure the vacuity of a window

IV. To measure an angle chimney, standing equally

distant from the angle of a room

235

237

245

- 246

V. To measure an angle chimney, when the plane of

its breast intersects the two sides of the room

unequally distant from the angle

VI. To measure an angle chimney, when the plane of

the breast projects out from each wall, and

unequally distant from the angle of the room

247

247

PROB.

VII. To measure the carcase of a building consisting

of different stories

PAGE

248

Carpenters and Joiners' Work.

Definition

I. To measure the centering of a cylindrical vault

II. To measure naked floors, whether for materials or

workmanship

III. To measure roofing and partitions

Masons' Work.

Directions for measuring

Plasterers' Work.

Directions for measuring

Glaziers' Work.

249

-

249

250

PRACTICAL GEOMETRY;

CONTAINING

A NUMBER OF SELECT

Problems,

MANY OF WHICH ARE ENTIRELY NEW:

Necessary to be understood by all who intend to become

PROFICIENTS

IN THE

PRINCIPLES OF ARCHITECTURE.