Elements of Geometry: With Practical Applications ... |
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Page 5
... four right an- gles . It is obvious that this angular magnitude has no dependence upon the length of the revolving line . As A1 A6 Angular magnitude is expressed numerically by supposing the whole space to be divided into 360 equal ...
... four right an- gles . It is obvious that this angular magnitude has no dependence upon the length of the revolving line . As A1 A6 Angular magnitude is expressed numerically by supposing the whole space to be divided into 360 equal ...
Page 6
... four equal portions , each being a right angle . Therefore the entire circumference may , with great propriety , be taken as the mea- sure of 360 ° , or four right angles . Any is 90 ° " 180 ° " 270 ° 66 45 ° 66 30 ° 66 60 ° F B ...
... four equal portions , each being a right angle . Therefore the entire circumference may , with great propriety , be taken as the mea- sure of 360 ° , or four right angles . Any is 90 ° " 180 ° " 270 ° 66 45 ° 66 30 ° 66 60 ° F B ...
Page 8
... four sides . XIV . The simplest kind of polygon is one having only three sides , and is called a triangle . A polygon of four sides is called a quadrilateral ; that of five sides is called a pentagon ; that of six sides is called a ...
... four sides . XIV . The simplest kind of polygon is one having only three sides , and is called a triangle . A polygon of four sides is called a quadrilateral ; that of five sides is called a pentagon ; that of six sides is called a ...
Page 9
... four sides of a rectangle are equal , the figure is called a square . XX . When the four sides of a parallelogram are equal , and the angles not right , the figure is called a rhombus . XXI . When only two sides of a quadrilateral are ...
... four sides of a rectangle are equal , the figure is called a square . XX . When the four sides of a parallelogram are equal , and the angles not right , the figure is called a rhombus . XXI . When only two sides of a quadrilateral are ...
Page 14
... four right angles . ( 20. ) The instrument called a square , which is extensively used in the arts for tracing lines at right angles to each other , consists of two flat rulers placed at right angles as in the adjoining figure . When ...
... four right angles . ( 20. ) The instrument called a square , which is extensively used in the arts for tracing lines at right angles to each other , consists of two flat rulers placed at right angles as in the adjoining figure . When ...
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Common terms and phrases
a+b+c AC² altitude angle ACD angle BAC bisect centre chord circ circular sector circumference cone consequently convex surface cylinder diagonal diameter distance draw equal and parallel equiangular equilateral triangle equivalent exterior angle figure formed four right angles given line greater half the arc hypothenuse inscribed circle intersection isosceles join less Let ABC lines drawn magnitude measured by half meet multiplied number of sides opposite angles parallel planes parallelogram parallelopipedon pendicular perimeter perpendicular plane MN point G prism PROBLEM produced Prop PROPOSITION pyramid radii radius rectangle regular polygon respectively equal right angles right-angled triangle Sabc Schol Scholium semicircle semicircumference side AC similar similar triangles solid angle solid described sphere spherical triangle square straight line suppose tangent THEOREM three sides triangle ABC triangular prism vertex VIII
Popular passages
Page 37 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Page 180 - THEOREM. If one of two parallel lines is perpendicular to a plane, the other will also be perpendicular to this plane. Let AP & ED be parallel lines, of which AP is perpendicular to the plane MN ; then will ED be also perpendicular to this plane.
Page 139 - PROBLEM. To inscribe a circle in a given triangle. Let ABC be the given triangle : it is required to inscribe a circle in the triangle ABC.
Page 224 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Page 43 - In a right-angled triangle, the side opposite the right angle is" called the Hypothenuse ; and the other two sides are cal4ed the Legs, and sometimes the Base and Perpendicular.
Page 184 - THEOREM. If two angles, not situated in the same plane, have their sides parallel and lying in the same direction, they will be equal, and the planes in which they are situated will be parallel.
Page 10 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another.
Page 226 - We conclude then, that the solidity of a cylinder is equal to the product of its base by its altitude.
Page 22 - If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other...
Page 12 - If equals be added to unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another.