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 6
... equally distant from a certain point in its plane , which point is called the centre of the circumference . The ... equal to one - fourth of the circum- ference it is called a quadrant . Each of the straight lines drawn from the ...
... equally distant from a certain point in its plane , which point is called the centre of the circumference . The ... equal to one - fourth of the circum- ference it is called a quadrant . Each of the straight lines drawn from the ...
Page 22
... equally distant from the extremities of this line . II . Any point without the perpendicular will be unequally distant from the extremities of this line . Let AB be the given line , DE a perpen- F G dicular through C , its middle point ...
... equally distant from the extremities of this line . II . Any point without the perpendicular will be unequally distant from the extremities of this line . Let AB be the given line , DE a perpen- F G dicular through C , its middle point ...
Page 23
... distant from the extremities of a second line , it will be perpen- dicular to the second line and bisect it . THEOREM XIV . If a line be drawn bisecting a given angle , that is , dividing it into two equal angles : I. Any point in this ...
... distant from the extremities of a second line , it will be perpen- dicular to the second line and bisect it . THEOREM XIV . If a line be drawn bisecting a given angle , that is , dividing it into two equal angles : I. Any point in this ...
Page 24
... equal , each being a right angle ; hence , these lines have the same direction , and are C D F H therefore ... equally distant . FLH A B C D E KG Suppose AB and CD to be parallel . Through any two points , as E and G , of the ...
... equal , each being a right angle ; hence , these lines have the same direction , and are C D F H therefore ... equally distant . FLH A B C D E KG Suppose AB and CD to be parallel . Through any two points , as E and G , of the ...
Page 37
... equally distant from AB and AC ( T. XIV . ) . For the same reason every point of the bisecting line BE is equally distant from AB and BC . Hence , the point G , where these two lines intersect , is equally A E C D G F B distant from AC ...
... equally distant from AB and AC ( T. XIV . ) . For the same reason every point of the bisecting line BE is equally distant from AB and BC . Hence , the point G , where these two lines intersect , is equally A E C D G F B distant from AC ...
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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