Elements of Geometry and Trigonometry |
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Page 23
... Produce the perpendicular AB till BF is equal to AB , and draw FC , FD . First . The triangle BCF , is equal to the triangle BCA , for they have the right angle CBF CBA , the side CB common , and the = D A BE F side BF = BA ; hence the ...
... Produce the perpendicular AB till BF is equal to AB , and draw FC , FD . First . The triangle BCF , is equal to the triangle BCA , for they have the right angle CBF CBA , the side CB common , and the = D A BE F side BF = BA ; hence the ...
Page 25
... produced . Let the two lines AC , BD , A be perpendicular to AB ; then will they be parallel . For , if they could meet in a point Q , on either side of AB , there would be two per- B C D pendiculars OA , OB , let fall from the same ...
... produced . Let the two lines AC , BD , A be perpendicular to AB ; then will they be parallel . For , if they could meet in a point Q , on either side of AB , there would be two per- B C D pendiculars OA , OB , let fall from the same ...
Page 27
... produced . Let the line EF meet the two lines CD , IH , making the sum of the interior angles OGH , GOD , less than two right an- gles then will IH and CD meet if sufficiently produced . For , if they do not meet they are parallel ( Def ...
... produced . Let the line EF meet the two lines CD , IH , making the sum of the interior angles OGH , GOD , less than two right an- gles then will IH and CD meet if sufficiently produced . For , if they do not meet they are parallel ( Def ...
Page 29
... produce DE , if necessary , till it meets AC in G. Then , since EF is par- allel to GC , the angle DEF is equal to ... produced towards H , the angle DEH would have its sides parallel to those of the angle BAČ , but would not be equal ...
... produce DE , if necessary , till it meets AC in G. Then , since EF is par- allel to GC , the angle DEF is equal to ... produced towards H , the angle DEH would have its sides parallel to those of the angle BAČ , but would not be equal ...
Page 31
... produced out , in the same direc- tion , the sum of the exterior angles will be equal to four right angles . Let the sides of the polygon ABCD- FG , be produced , in the same direction ; then will the sum of the exterior angles a + b + ...
... produced out , in the same direc- tion , the sum of the exterior angles will be equal to four right angles . Let the sides of the polygon ABCD- FG , be produced , in the same direction ; then will the sum of the exterior angles a + b + ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex