Elements of Geometry and Trigonometry |
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Page 23
... equal to the the triangle BAE ; for BC = BE , the side AB is common , and the angle CBA = ABE ; hence the sides AC and AE are equal ( Prop . V. Cor . ) : therefore , two oblique , lines , equally distant from the perpendicular , are equal ...
... equal to the the triangle BAE ; for BC = BE , the side AB is common , and the angle CBA = ABE ; hence the sides AC and AE are equal ( Prop . V. Cor . ) : therefore , two oblique , lines , equally distant from the perpendicular , are equal ...
Page 24
... equally distant from the perpen- dicular , and therefore equal ( Prop . XV . ) . So , ikewise , are the two oblique lines AE , EB , the A two AF , FB , and so on . Therefore every point in the perpendicular is equally distant from the ...
... equally distant from the perpen- dicular , and therefore equal ( Prop . XV . ) . So , ikewise , are the two oblique lines AE , EB , the A two AF , FB , and so on . Therefore every point in the perpendicular is equally distant from the ...
Page 28
... equally distant . Two parallels AB , CD , being C H given , if through two points E G D and F , assumed at pleasure ... equal to each other . If GF be drawn , the angles GFE , FGH , considered in refer- ence to the parallels AB , CD ...
... equally distant . Two parallels AB , CD , being C H given , if through two points E G D and F , assumed at pleasure ... equal to each other . If GF be drawn , the angles GFE , FGH , considered in refer- ence to the parallels AB , CD ...
Page 41
... equally distant from a point within , called the centre . The circle is the this curved line . * space terminated by ... equal ; that all the diameters are equal also , and each double of the radius . 3. A portion of the circumference ...
... equally distant from a point within , called the centre . The circle is the this curved line . * space terminated by ... equal ; that all the diameters are equal also , and each double of the radius . 3. A portion of the circumference ...
Page 43
... equally distant from the centre ; and hence , there would be three equal straight lines drawn from the same point to the same straight line , which is impossible ( Book Î . Prop . XV . Cor . 2. ) . PROPOSITION IV . THEOREM . In the same ...
... equally distant from the centre ; and hence , there would be three equal straight lines drawn from the same point to the same straight line , which is impossible ( Book Î . Prop . XV . Cor . 2. ) . PROPOSITION IV . THEOREM . In the same ...
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Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent cylinder diagonal diameter dicular distance divided draw drawn equal angles equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex