First Lessons in Geometry: With Practical Applications in Mensuration, and Artificers' Work and Mechanics |
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Page ix
... Perpendicular and oblique lines . • 15 . 17 • 18 19 20 • 23 24 3733 25 SECTION IV . Plane Figures . Different kinds of Polygons Different kinds of Quadrilaterals . 25 26--28 29 SECTION V. The unit of length , or linear unit 30 ...
... Perpendicular and oblique lines . • 15 . 17 • 18 19 20 • 23 24 3733 25 SECTION IV . Plane Figures . Different kinds of Polygons Different kinds of Quadrilaterals . 25 26--28 29 SECTION V. The unit of length , or linear unit 30 ...
Page 19
... perpendicular to another ? Are the an- gles on each side then equal ? 3. When two lines are perpendicular to each other , what are the angles on each side called ? Are all right angles equal to each other ? Make two right angles . Point ...
... perpendicular to another ? Are the an- gles on each side then equal ? 3. When two lines are perpendicular to each other , what are the angles on each side called ? Are all right angles equal to each other ? Make two right angles . Point ...
Page 21
... perpendicular to each other , how many right angles will be formed ? Into how many equal parts will these lines divide the circumference ? How many degrees does one right angle contain ? How many degrees in two right angles ? In three ...
... perpendicular to each other , how many right angles will be formed ? Into how many equal parts will these lines divide the circumference ? How many degrees does one right angle contain ? How many degrees in two right angles ? In three ...
Page 23
... PERPENDICULAR LINES . 1. Two straight lines are said to be parallel when they are at the same distance from each other at every point . Parallel lines will never meet each other . 2. Two curves are said to be par- allel or concentric ...
... PERPENDICULAR LINES . 1. Two straight lines are said to be parallel when they are at the same distance from each other at every point . Parallel lines will never meet each other . 2. Two curves are said to be par- allel or concentric ...
Page 24
... perpendicular to the horizon . 6. If two parallel lines CD , AB , are cut by a third line IG , the angles A- IHD and ... perpendicular to one of several parallel lines , it will be perpendicular to all the oth- Thus , if AB , CD and EF ...
... perpendicular to the horizon . 6. If two parallel lines CD , AB , are cut by a third line IG , the angles A- IHD and ... perpendicular to one of several parallel lines , it will be perpendicular to all the oth- Thus , if AB , CD and EF ...
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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.