Elements of Geometry and Trigonometry |
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Page 63
... contain , being given , to describe the parallelogram . Let A and B be the given sides , and C the given angle . Draw the line DE = A ; at the point D , make the angle EDF = C ; take DF - B ; describe two arcs , the one from Fas a cen ...
... contain , being given , to describe the parallelogram . Let A and B be the given sides , and C the given angle . Draw the line DE = A ; at the point D , make the angle EDF = C ; take DF - B ; describe two arcs , the one from Fas a cen ...
Page 65
... contain a given angle ; that is to say , a segment such , that all the an- gles inscribed in it , shall be equal to the given angle . Let AB be the given straight line , and C the given angle . M E -D Ꮐ B K E M G B K Produce AB towards ...
... contain a given angle ; that is to say , a segment such , that all the an- gles inscribed in it , shall be equal to the given angle . Let AB be the given straight line , and C the given angle . M E -D Ꮐ B K E M G B K Produce AB towards ...
Page 66
... contained exactly a certain number of times in the preced- ing one . Then this last remainder will be the common measure of the proposed lines ; and regarding it as unity , we shall easily find the values of the preceding remainders ...
... contained exactly a certain number of times in the preced- ing one . Then this last remainder will be the common measure of the proposed lines ; and regarding it as unity , we shall easily find the values of the preceding remainders ...
Page 69
... contain the same -measuring unit an equal number of times . 10. Figures which have equal areas are called equivalent . The term equal , when applied to figures , designates those which are equal in every respect , and which being ...
... contain the same -measuring unit an equal number of times . 10. Figures which have equal areas are called equivalent . The term equal , when applied to figures , designates those which are equal in every respect , and which being ...
Page 71
... contain 4 of those parts : at each point of division erect a perpendicular to the base ; seven partial rect- angles will thus be formed , all equal to each other , because all have the same base and altitude . The rectangle ABCD will ...
... contain 4 of those parts : at each point of division erect a perpendicular to the base ; seven partial rect- angles will thus be formed , all equal to each other , because all have the same base and altitude . The rectangle ABCD will ...
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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 consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides 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 solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex