## First Lessons in Geometry: With Practical Applications in Mensuration, and Artificers' Work and Mechanics |

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12 feet 20 feet ABCD acres altitude attraction base body bounded breadth brick called centre chord circle circumference cone contain convex surface cubic feet cubic inches curve cylinder decimal describe diameter dimensions distance divided divisions draw drawn equal EXAMPLES Explain the manner face fall feet 6 inches figure find the area find the solidity foot frustum Geometry girt give given given point greater half Hence hexagon inches inscribed intersect kind known length less lever marked measure Mechanical Mensuration of Surfaces move Multiply opposite parallel pass pentagon perpendicular piece plane polygon prism PROBLEM pulley pyramid radius rectangle regular right angles ring rods Round Bodies RULE scale segment side similar solid feet solidity specific gravity sphere square feet straight line tangent thickness timber triangle unit weight

### Popular passages

Page 20 - Every circumference of a. circle, whether the circle be large or small, is supposed to be divided into 360 equal parts called degrees. Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.

Page 32 - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.

Page 40 - Similar triangles are to each other as the squares described on their homologous sides. Let ABC, DEF be two similar triangles...

Page 82 - A zone is a portion of the surface of a sphere included between two parallel planes.

Page 235 - An equilibrium is produced in all the levers, when the weight multiplied by its distance from the fulcrum is equal to the product of the power multiplied by its distance from the fulcrum. That...

Page 84 - The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude.

Page 34 - The area of a triangle is equal to half the product of the base and height.

Page 35 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.

Page 20 - For this purpose it is divided into 360 equal parts, called degrees, each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds. The degrees, minutes, and seconds, are marked thus, °, ', " ; and 9° 18' 10", are read, 9 degrees, 18 minutes, and 10 seconds.

Page 83 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.