Elements of GeometryGinn and Heath, 1877 - 250 σελίδες |
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Σελίδα vi
... take the constant 60 and the repetend .3333 , etc. , the approxi- mate values of the repetend will be 180 , 1800 , 1000 , 1000 , etc. , and 33 333 3333 these values multiplied by 60 give the series 18 , 19.8 , 19.98 , 19.998 , etc ...
... take the constant 60 and the repetend .3333 , etc. , the approxi- mate values of the repetend will be 180 , 1800 , 1000 , 1000 , etc. , and 33 333 3333 these values multiplied by 60 give the series 18 , 19.8 , 19.98 , 19.998 , etc ...
Σελίδα 12
... take the position AED , and the angles DEF and ABC will together equal the an- gle A EF . Ꭰ A B C F E E F MATHEMATICAL TERMS . 36. DEF . A Demonstration is a course of reasoning by which the truth or falsity of a particular statement ...
... take the position AED , and the angles DEF and ABC will together equal the an- gle A EF . Ꭰ A B C F E E F MATHEMATICAL TERMS . 36. DEF . A Demonstration is a course of reasoning by which the truth or falsity of a particular statement ...
Σελίδα 15
... Take away from each of these equals the common ZOC A. Then LOCB LACP . In like manner we may prove LACOL PCB . Q. E. D. 50. COROLLARY . If two straight lines cut one another , the four angles which they make at the point of intersection ...
... Take away from each of these equals the common ZOC A. Then LOCB LACP . In like manner we may prove LACOL PCB . Q. E. D. 50. COROLLARY . If two straight lines cut one another , the four angles which they make at the point of intersection ...
Σελίδα 16
... Take away Then from each of these equals the common ZO CA. .. C B 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 . ZOCF = LOCB . Q. E. D. PROPOSITION III ...
... Take away Then from each of these equals the common ZO CA. .. C B 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 . ZOCF = LOCB . Q. E. D. PROPOSITION III ...
Σελίδα 17
... take the direction of O E , = ( since LCOF LEOF , each being a rt . 4 ) . The point C will fall upon the point E , and But ( since O C O E by cons . ) . line FE , .. line CF ( having their extremities in the same points ) . ..CFFE = = 2 ...
... take the direction of O E , = ( since LCOF LEOF , each being a rt . 4 ) . The point C will fall upon the point E , and But ( since O C O E by cons . ) . line FE , .. line CF ( having their extremities in the same points ) . ..CFFE = = 2 ...
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A B C AABC AACB 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 exterior angles figure given line given point given polygon given straight line greater homologous sides hypotenuse isosceles triangle Let A B Let ABC limit line A B measured by arc middle point number of sides parallelogram perimeter perpendicular 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 variable vertex vertices