Elements of Geometry and Trigonometry |
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Page 10
... BAC , or CAB , the letter at the vertex being always placed in the middle . Angles , like all other quantities , are susceptible of addition , subtraction , multiplication , and division . Thus the angle DCE is the sum of the two angles ...
... BAC , or CAB , the letter at the vertex being always placed in the middle . Angles , like all other quantities , are susceptible of addition , subtraction , multiplication , and division . Thus the angle DCE is the sum of the two angles ...
Page 14
... angle ACD + the angle DCB , be equal to two right angles . At the point C , erect CE perpendicular to AB . The angle ... BAC , CAD , DAE , EAF , formed . C on the same side of the straight line BF , is equal to two right angles ; for their ...
... angle ACD + the angle DCB , be equal to two right angles . At the point C , erect CE perpendicular to AB . The angle ... BAC , CAD , DAE , EAF , formed . C on the same side of the straight line BF , is equal to two right angles ; for their ...
Page 16
... angle ECB be equal to the angle ACD , and the angle ACE to the angle DCB . B E For , since the straight line DE is ... BAC . E D TB For , these triangles may be so applied to each other , that they shall exactly coincide . Let the triangle ...
... angle ECB be equal to the angle ACD , and the angle ACE to the angle DCB . B E For , since the straight line DE is ... BAC . E D TB For , these triangles may be so applied to each other , that they shall exactly coincide . Let the triangle ...
Page 17
... BAC ( Ax . 13. ) . Cor . When two triangles have these three things equal , namely , the side ED = BA , the side DF = AC , and the angle D = A , the remaining three are also respectively equal , namely , the side EF = BC , the angle E ...
... BAC ( Ax . 13. ) . Cor . When two triangles have these three things equal , namely , the side ED = BA , the side DF = AC , and the angle D = A , the remaining three are also respectively equal , namely , the side EF = BC , the angle E ...
Page 18
... BAC , and let the lines OB , OC , be drawn to the extremities of either side , as BC ; then will OB + OC < BA + AC ... angle . Let BAC and EDF be two triangles , having the side AB = DE , AC = DF , and the angle A > D ; then will BC > EF ...
... BAC , and let the lines OB , OC , be drawn to the extremities of either side , as BC ; then will OB + OC < BA + AC ... angle . Let BAC and EDF be two triangles , having the side AB = DE , AC = DF , and the angle A > D ; then will BC > EF ...
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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