Elements of GeometryGinn, Heath & Company, 1884 |
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Σελίδα vi
... take the constant 60 and the repetend .3333 , etc. , the approxi- mate values of the repetend will be 1 % , 100 , 100 , 3888 , etc. , and these values multiplied by 60 give the series 18 , 19.8 , 19.98 , 19.998 , etc. , which evidently ...
... take the constant 60 and the repetend .3333 , etc. , the approxi- mate values of the repetend will be 1 % , 100 , 100 , 3888 , etc. , and these values multiplied by 60 give the series 18 , 19.8 , 19.98 , 19.998 , etc. , which evidently ...
Σελίδα 12
... take the position AED , and the angles DEF and ABC will together equal the an- gle A EF . D A F C B E D A E F MATHEMATICAL TERMS . 36. DEF . A Demonstration is a course of reasoning by which the truth or falsity of a particular ...
... take the position AED , and the angles DEF and ABC will together equal the an- gle A EF . D A F C B E D A E F MATHEMATICAL TERMS . 36. DEF . A Demonstration is a course of reasoning by which the truth or falsity of a particular ...
Σελίδα 15
... Take away from each of these equals the common ≤ O C A. Then LOCB = LACP . In like manner we may prove LACO = L P CB . Q. E. D. 50. COROLLARY . If two straight lines cut one another , the four angles which they make at the point of ...
... Take away from each of these equals the common ≤ O C A. Then LOCB = LACP . In like manner we may prove LACO = L P CB . Q. E. D. 50. COROLLARY . If two straight lines cut one another , the four angles which they make at the point of ...
Σελίδα 16
... Take away from each of these equals the common OCA . Then = LOCF ZOC B. .. CB and C F coincide , and cannot form two lines as rep- resented in the figure . .. A C and C B are in the same straight line . Q. E. D. PROPOSITION III ...
... Take away from each of these equals the common OCA . Then = LOCF ZOC B. .. CB and C F coincide , and cannot form two lines as rep- resented in the figure . .. A C and C B are in the same straight line . Q. E. D. PROPOSITION III ...
Σελίδα 17
... take the direction of O E , ( since ≤ CO F = LEO F , each being a rt . △ ) . The point C will fall upon the point E , ( since OCOE by cons . ) . .. line CF : = line FE , and But ( having their extremities in the same points ) . ..CFFE ...
... take the direction of O E , ( since ≤ CO F = LEO F , each being a rt . △ ) . The point C will fall upon the point E , ( since OCOE by cons . ) . .. line CF : = line FE , and But ( having their extremities in the same points ) . ..CFFE ...
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A B C AABC ABCD adjacent angles alt.-int altitude apothem arc A B bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon equivalent exterior angles figure given line given point given polygon greater homologous sides hypotenuse isosceles triangle Let A B Let ABC limit line A B Mailing price measured by arc middle point number of sides parallelogram perimeter perpendicular PHILLIPS EXETER ACADEMY plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment sides of equal sides of similar similar polygons subtend tangent THEOREM third side triangle ABC vertex vertices Wentworth