First Lessons in Geometry: With Practical Applications in Mensuration, and Artificers' Work and Mechanics |
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Page xi
... Area of a rectangle - Square or parallelogram Area of a Triangle Properties of right - angled triangles Area of the ... 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 ...
... Area of a rectangle - Square or parallelogram Area of a Triangle Properties of right - angled triangles Area of the ... 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 ...
Page xii
... find the surface of a Cylinder . To find the solidity of a Cylinder To find the surface of a Cone To find the ... area of a plank To cut a given area from a plank 200 201 202 To find the solid content of a square piece of timber 203 To ...
... find the surface of a Cylinder . To find the solidity of a Cylinder To find the surface of a Cone To find the ... area of a plank To cut a given area from a plank 200 201 202 To find the solid content of a square piece of timber 203 To ...
Page 58
... find that after laying it off six B times , you will exactly reach to the point A. Hence , the side of a regular ... area of a circle 58 PLANE GEOMETRY .
... find that after laying it off six B times , you will exactly reach to the point A. Hence , the side of a regular ... area of a circle 58 PLANE GEOMETRY .
Page 121
... find the area of a Square , a Rectangle , a Rhom- bus , or a Parallelogram . RULE Multiply the base by the perpendicular height and the product will be the area . EXAMPLES . D 1. Required the area of the square ABCD each of whose sides ...
... find the area of a Square , a Rectangle , a Rhom- bus , or a Parallelogram . RULE Multiply the base by the perpendicular height and the product will be the area . EXAMPLES . D 1. Required the area of the square ABCD each of whose sides ...
Page 123
... area of a parallelogram whose base is 7 feet 9 inches , and altitude 3 feet 6 inches ? Ans . 27 sq . ft . 1 ' 6 " . 9. To find the area of a rectangle D ABCD , of which the base AB = 45 yards , and the altitude AD = 15 yards . Here we ...
... area of a parallelogram whose base is 7 feet 9 inches , and altitude 3 feet 6 inches ? Ans . 27 sq . ft . 1 ' 6 " . 9. To find the area of a rectangle D ABCD , of which the base AB = 45 yards , and the altitude AD = 15 yards . Here we ...
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Common terms and phrases
12 feet 20 feet acres altitude bisect bounded by Planes breadth called centre of gravity chord circular sector circumfer circumference cone convex surface cubic feet cubic foot cubic inches cylinder decimal diagonals diameter distance divide draw equilateral triangle EXAMPLES Explain the manner feet 6 inches figure find the area find the solidity frustum given angle given line given point gles half hypothenuse intersect line be drawn linear unit lower base manner of inscribing Mensuration of Surfaces multiplied number of square parallel planes parallelogram parallelopipedon pentagon pentagonal pyramid perpendicular Practical Geometry.-Problems PROBLEM pulley pyramid radius rectangle regular polygon regular solids Required the area rhombus right angled triangle Round Bodies RULE scale of equal secant line segment similar polygons similar triangles slant height solid content solid feet Solids bounded specific gravity sphere square feet square yards straight line tangent thickness upper base 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.