First Lessons in Geometry: With Practical Applications in Mensuration, and Artificers' Work and MechanicsA.S. Barnes, 1840 - 252 σελίδες |
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Σελίδα x
... bounded by planes . 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 ...
... bounded by planes . 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 ...
Σελίδα 47
... bounded by a curve line , all the points of which are equally dis- tant from a certain point called the centre . The curve line is called the circumference . Thus , the space B č enclosed by the curve ABD is called a circle : the curve ...
... bounded by a curve line , all the points of which are equally dis- tant from a certain point called the centre . The curve line is called the circumference . Thus , the space B č enclosed by the curve ABD is called a circle : the curve ...
Σελίδα 49
... bounded by two radii and the arc included between them . Thus , ACB is a sector . 6. A chord of a circle , is a line drawn within a circle , and termi- nating in the circumference , but not passing through the centre . Thus , AB is a ...
... bounded by two radii and the arc included between them . Thus , ACB is a sector . 6. A chord of a circle , is a line drawn within a circle , and termi- nating in the circumference , but not passing through the centre . Thus , AB is a ...
Σελίδα 63
... lines of intersection have with each other ? 11. What is a solid an- gle ? What is the least number of planes which can form a sclid angle ? Of Solids bounded by Planes . SECTION X. OF SOLIDS PART I.SECTION IX . 63 Solid Angles.
... lines of intersection have with each other ? 11. What is a solid an- gle ? What is the least number of planes which can form a sclid angle ? Of Solids bounded by Planes . SECTION X. OF SOLIDS PART I.SECTION IX . 63 Solid Angles.
Σελίδα 64
... bounded by Planes . SECTION X. OF SOLIDS BOUNDED BY PLANES . 1. A solid or body was defined ( § I. Art . 8 ) , to be that which has length , breadth , and thickness . 2. Every solid bounded by planes is called a polye- dron . 3. The ...
... bounded by Planes . SECTION X. OF SOLIDS BOUNDED BY PLANES . 1. A solid or body was defined ( § I. Art . 8 ) , to be that which has length , breadth , and thickness . 2. Every solid bounded by planes is called a polye- dron . 3. The ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 40 - Similar triangles are to each other as the squares described on their homologous sides. Let ABC, DEF be two similar triangles...
Σελίδα 82 - A zone is a portion of the surface of a sphere included between two parallel planes.
Σελίδα 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...
Σελίδα 84 - The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude.
Σελίδα 34 - The area of a triangle is equal to half the product of the base and height.
Σελίδα 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.
Σελίδα 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.
Σελίδα 83 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.