Right angle-Acute angle-Obtuse angle

Measures of angles. .

SECTION III.

Parallel lines-Oblique lines.

Parallel cut by a third line.

Perpendicular and oblique lines.

25

26--28

29

SECTION VI.

Properties of Triangles

Conditions that two triangles shall be equal

Square on the hypothenuse equal to the sum of the

squares on the other two sides

Similar Triangles compared.

SECTION VII.

Properties of Polygons.

35

35

38

39

40

When a Polygon is regular

General properties of Polygons.

40

40-47

Mensuration of Solids.

General principles.

To find the surface of a Prism.

To find the solidity of a Prism

To find the surface of a Pyramid

To find the surface of the frustum of a Pyramid

To find the solidity of a Pyramid.

To find the solidity of the frustum of a Pyramid

SECTION III.

Measures of the round bodies

To find the surface of a Cylinder.

To find the solidity of a Cylinder

To find the surface of a Cone

To find the solidity of a Cone .

To find the surface of the frustum of a Cone

To find the solidity of the frustum of a Cone

To find the surface of a Sphere

To find the surface of a Spherical zone

To find the solidity of a Sphere.

To find the solidity of a Spherical segment

To find the solidity of a Spheroid..

To find the surface of a Cylindrical ring

To find the solidity of a Cylindrical ring.

PART IV.

ARTIFICERS' WORK

SECTION I.

189

Carpenter's Rule-Description and uses

To multiply numbers by Carpenter's rule

189-193

193-197

To find the content of a piece of timber by Carpenter's

To cut a given area from a plank

200

201

202

To find the solid content of a square piece of timber 203

To cut off a given solidity from a piece of timber 206

To find the solidity of round timber

207

SECTION III.

BRICKLAYER'S WORK

How Artificer's work is computed.

209

209

Dimensions of brick

209-210

To find the number of bricks necessary to build a

given wall

Of Cisterns.

To find the content of a Cistern in hogsheads

210

212

213

213

214

Having the height of a cistern to find its diameter that

it may contain a given quantity of water
Having the diameter, to find the height.