First Lessons in Geometry: With Practical Applications in Mensuration, and Artificers' Work and Mechanics |
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Page 157
... cubic inches . 1 cubic yard = 27 cubic feet . 1 cubic rod 4492 cubic feet . = 1 ale gallon 282 cubic inches . = 1 wine gallon = 231 cubic inches . 1 bushel = 2150,42 cubic inches . QUEST . - 2 . How is a curve line expressed by numbers ...
... cubic inches . 1 cubic yard = 27 cubic feet . 1 cubic rod 4492 cubic feet . = 1 ale gallon 282 cubic inches . = 1 wine gallon = 231 cubic inches . 1 bushel = 2150,42 cubic inches . QUEST . - 2 . How is a curve line expressed by numbers ...
Page 160
... cube whose side is 24 inches ? Ans . 13824 solid inches . 3. How many cubic feet in a block of marble , of QUEST . - 6 . How do you find the solidity of a prism ? Mensuration of Solids . which the length is 3 feet 160 PRACTICAL GEOMETRY .
... cube whose side is 24 inches ? Ans . 13824 solid inches . 3. How many cubic feet in a block of marble , of QUEST . - 6 . How do you find the solidity of a prism ? Mensuration of Solids . which the length is 3 feet 160 PRACTICAL GEOMETRY .
Page 161
... inches , breadth 2 feet 8 inches , and height or thickness 2 feet 6 inches ? Ans . 21 solid feet . 4. How many ... cubic or solid feet in a reg- ular pentagonal prism of which the altitude is 15 feet and each side of the base 3,75 feet ...
... inches , breadth 2 feet 8 inches , and height or thickness 2 feet 6 inches ? Ans . 21 solid feet . 4. How many ... cubic or solid feet in a reg- ular pentagonal prism of which the altitude is 15 feet and each side of the base 3,75 feet ...
Page 167
... inches . Ans . 9,31925 solid feet . 4. What is the content of a regular hexagonal frus- tum , whose height is 6 feet , the side of the greater end 18 inches , and of the less end 12 inches ? Ans . 24,681724 cubic feet . 5. How many cubic ...
... inches . Ans . 9,31925 solid feet . 4. What is the content of a regular hexagonal frus- tum , whose height is 6 feet , the side of the greater end 18 inches , and of the less end 12 inches ? Ans . 24,681724 cubic feet . 5. How many cubic ...
Page 171
... cubic feet . 7. Required the solidity of a cylinder whose altitude is 20 feet , and the circumference of whose base is 5 feet 6 inches . Ans . 48,1459 cubic feet . 8. What is the solidity of a cylinder , the circumfer- ence of whose ...
... cubic feet . 7. Required the solidity of a cylinder whose altitude is 20 feet , and the circumference of whose base is 5 feet 6 inches . Ans . 48,1459 cubic feet . 8. What is the solidity of a cylinder , the circumfer- ence of whose ...
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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.