Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration. Accompanied with All the Necessary Logarithmic and Trigonometric Tables |
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Page vi
... circle 101 102 Determination of the sides and of the areas of regular polygons 107 The determination of the sides and of the areas of regular polygons of a par- ticular kind .. 112 Measure of the circle and of its circumference 116 ...
... circle 101 102 Determination of the sides and of the areas of regular polygons 107 The determination of the sides and of the areas of regular polygons of a par- ticular kind .. 112 Measure of the circle and of its circumference 116 ...
Page 6
... CIRCLE . 7. When a line is not a straight line , or made up of finite portions of straight lines , it is called a curved line . The simplest of all curved lines is the circumference of a circle , which may be thus defined : The ...
... CIRCLE . 7. When a line is not a straight line , or made up of finite portions of straight lines , it is called a curved line . The simplest of all curved lines is the circumference of a circle , which may be thus defined : The ...
Page 7
... circle , which are the only lines treated of in Elementary Geometry , are respectively traced or drawn upon a plane , by the aid of the Ruler and of the Compass . These instruments are so simple , and of such general use , as to need no ...
... circle , which are the only lines treated of in Elementary Geometry , are respectively traced or drawn upon a plane , by the aid of the Ruler and of the Compass . These instruments are so simple , and of such general use , as to need no ...
Page 8
... circle . The second is called , Begging the question . We are said to reason in a circle when , in the demonstration of a proposition , we employ , either implicitly or explicitly , a second proposition , which cannot , itself , be ...
... circle . The second is called , Begging the question . We are said to reason in a circle when , in the demonstration of a proposition , we employ , either implicitly or explicitly , a second proposition , which cannot , itself , be ...
Page 12
... circle to its diameter , the diagonal of a square to its sides , etc. Hence many have deemed the arith- metical method not sufficiently general to apply to geometry . This would be a safe inference , were it necessary in all cases to ...
... circle to its diameter , the diagonal of a square to its sides , etc. Hence many have deemed the arith- metical method not sufficiently general to apply to geometry . This would be a safe inference , were it necessary in all cases to ...
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Common terms and phrases
ABē ABCD altitude angles equal apothem base bisecting centre chord circle circumference circumscribed circle circumscribed polygon cone consequently corresponding cosec Cosine Cotang cubic cylinder decimal denote diameter dicular distance divided draw drawn equally distant equation exterior angles feet figure frustum GEOMETRY given angle given line gives greater half hence homologous hypotenuse inches included angle intersection logarithm measure middle point multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant quadrilateral radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle Scholium secant similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang Tangent THEOREM three sides triangle ABC volume