Elements of Geometry and Trigonometry
A.S. Barnes and Company, 1834 - Geometry - 359 pages
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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 = B , and the angle F = C ...
... each to each , the remaining parts will also be equal , each to each , and the triangles themselves will be equal . D In the two right angled A triangles BAC , EDF , let the hypothenuse AC - DF , and the side BA = ED : then will the ...
If two opposite sides of a quadrilateral are equal and parallel , the remaining sides will also be equal and parallel , and the figure will be a parallelogram . Let ABCD be a quadrilateral , having the sides AB , CD , equal and parallel ...
If there be two sets of proportionals , having an antecedent and consequent of the first , equal to an antecedent and consequent of the second , the remaining terms will be proportional . PROPOSITION V. THEOREM .
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Elements of Geometry and Trigonometry from the Works of A. M. Legendre
A. M. Legendre
No preview available - 2017
Common terms and phrases
ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding Cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM produced Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole