## An Introduction to Mensuration and Practical Geometry |

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An Introduction to Mensuration and Practical Geometry: And Also the Most ... John Bonnycastle,James Ryan No preview available - 2016 |

### Common terms and phrases

9 inches ABCD abscissa added angle answer axis base body breadth called centre chord circle circumference cone conjugate contained convex cube cubic curve cutting cylinder decimal Demon depth describe diameter difference dimensions distance divided double draw ellipse equal EXAMPLES fall feet 6 inches figure find the area foot formed fraction frustrum gallons girth give given greater half half the arc height length less mean measure middle minute Multiply nearly Note opposite ordinate parallel perpendicular plane polygon PROBLEM proportion pyramid quotient radius Required the area right angled roof rule segment side solidity sphere square root stands superficies supposing surface taken thickness third transverse diameter triangle twice versed sine wall wheel whole wine yard

### Popular passages

Page 50 - The areas of circles are to each other as the squares of their diameters.

Page 217 - Also, as a cubic foot of water weighs just 1000 ounces avoirdupois5 the numbers in the table express, not only the specific gravities of the several bodies, but also the weight of a cubic foot of each in avoirdupois ounces ; and...

Page 20 - In a right-angled triangle, the side opposite to the right angle, is called the hypothenuse ; and the other two sides are called the legs, and sometimes the base and perpendicular : thus, A, B is the base, B, C perpendicular, and A, C hypothenuse.

Page 125 - To find the solidity of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity.

Page 192 - ... foot ; there being three stories, and three windows in each story. The height of the lower tier is 7 feet 9 inches, of the middle 6 6 of the upper 5 3| and of an oval window over the door 1 105 the common breadth of all the windows being 3 feet 9 inches. Ans. £12, Is. 8|d. PAVERS' WORK — Pavers- work is done by the square yard.

Page 21 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.

Page 260 - MECHANICAL POWERS are certain simple instruments employed in raising greater weights, or overcoming greater resistance than could be effected by the direct application of natural strength. They are usually accounted six in number; viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.

Page 96 - As the conjugate diameter is to the transverse, So is the square root of the difference of the squares of the ordinate and semi-conjugate, To the distance between the ordinate and centre.

Page 15 - The radius of a circle is a right line drawn from the centre to the circumference.

Page 54 - To find the Area of a Triangle. Rule ] . Multiply the base by the perpendicular height, and half the product will be the area.