First Lessons in Geometry: With Practical Applications in Mensuration, and Artificers' Work and Mechanics |
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Page x
... Prism - Parallelopipedon - Cube 64 65-66 Pyramid 66-69 Measures of Solids . 70-72 SECTION XI . Five regular solids 73-75 SECTION XII . Three round Bodies . . 76 Cylinder Cone Sphere • 76-78 · • 78-79 80-85 PART X CONTENTS .
... Prism - Parallelopipedon - Cube 64 65-66 Pyramid 66-69 Measures of Solids . 70-72 SECTION XI . Five regular solids 73-75 SECTION XII . Three round Bodies . . 76 Cylinder Cone Sphere • 76-78 · • 78-79 80-85 PART X CONTENTS .
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... Cone Sphere • 76-78 · • 78-79 80-85 PART II . SECTION I. D - scription of Dividers , and use 87-88 Ruler and Triangle , and use . 89-90 Scale of equal parts and use . 91-94 Diagonal scale of equal parts , and use 94-96 Scale of chords ...
... Cone Sphere • 76-78 · • 78-79 80-85 PART II . SECTION I. D - scription of Dividers , and use 87-88 Ruler and Triangle , and use . 89-90 Scale of equal parts and use . 91-94 Diagonal scale of equal parts , and use 94-96 Scale of chords ...
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... 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 ...
... 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 ...
Page 78
... cone . B The hypothenuse AC , is called the slant height of the cone , and the surface described by it , is called the convex surface of the cone . The side of the triangle CB , which remains fixed , is called the axis or altitude of ...
... cone . B The hypothenuse AC , is called the slant height of the cone , and the surface described by it , is called the convex surface of the cone . The side of the triangle CB , which remains fixed , is called the axis or altitude of ...
Page 79
... cone be cut by a plane parallel to the base , the section will be a circle . Thus , the section FKHI is a circle . If from the cone S - CDB , the cone S - FKH be taken away , the remaining part is called the frustum of a cone . F 8. The ...
... cone be cut by a plane parallel to the base , the section will be a circle . Thus , the section FKHI is a circle . If from the cone S - CDB , the cone S - FKH be taken away , the remaining part is called the frustum of a cone . F 8. The ...
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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.