Problems and ExamplesDeighton, Bell and Company, 1862 - 141 pages |
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Page 31
... first day , 6 the second , 8 the third , and so on ; in how many days after starting will they meet ? GEOMETRICAL PROGRESSION . 1. Sum the following series : 1 1 a . 1+ + + 2 to 12 terms . b . 2+ C. 1 1 + + 50 2 ALGEBRA . 31.
... first day , 6 the second , 8 the third , and so on ; in how many days after starting will they meet ? GEOMETRICAL PROGRESSION . 1. Sum the following series : 1 1 a . 1+ + + 2 to 12 terms . b . 2+ C. 1 1 + + 50 2 ALGEBRA . 31.
Page 32
... geometrical series is 1 , and any one term of the series is equal to the sum of all that follow it if continued ad infinitum ; required the series . 5. The arithmetical mean between a and b is greater than the geometrical . 6. If ...
... geometrical series is 1 , and any one term of the series is equal to the sum of all that follow it if continued ad infinitum ; required the series . 5. The arithmetical mean between a and b is greater than the geometrical . 6. If ...
Page 33
... geometrical progression is 2 , and the difference of the extremes is 7 ; find the numbers . 13. The second and third terms of a geometrical progression are together equal to 24 , and the next two to 216 ; what is the first ? 14. Find a ...
... geometrical progression is 2 , and the difference of the extremes is 7 ; find the numbers . 13. The second and third terms of a geometrical progression are together equal to 24 , and the next two to 216 ; what is the first ? 14. Find a ...
Page 34
... geometrical by 13 , and the geometrical exceeds the harmo nical by 12 ; what are the numbers ? 5. The arithmetical , geometrical , and harmonical means between a and b form a geometrical progression . 6. Insert 3 harmonical means ...
... geometrical by 13 , and the geometrical exceeds the harmo nical by 12 ; what are the numbers ? 5. The arithmetical , geometrical , and harmonical means between a and b form a geometrical progression . 6. Insert 3 harmonical means ...
Page 43
... geometrical progression , a2 + b2 + c2 is greater than ( a − b + c ) 2 . 12 32. If a2 + b2 + c2 = 1 , and a22 + b22 + c22 = 1 , then aa ' + bb ' + cc ' is never greater than 1 . 33. If P = n n ( n + 1 ) ...... ( n + r − 1 ) 1.2 ..r ...
... geometrical progression , a2 + b2 + c2 is greater than ( a − b + c ) 2 . 12 32. If a2 + b2 + c2 = 1 , and a22 + b22 + c22 = 1 , then aa ' + bb ' + cc ' is never greater than 1 . 33. If P = n n ( n + 1 ) ...... ( n + r − 1 ) 1.2 ..r ...
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2nd Edition 3rd Edition 4th Edition acceleration tending arithmetical arithmetical mean arithmetical series bisected centre of gravity chord circle concave cone Conic Sections conjugate convex lens Crown 8vo cylinder determine diameter directrix distance drawn Elementary ellipse English equal equation extremity F. A. Paley Fcap feet Find the number find the value fluid focal length foci focus geometrical progression given point given weight harmonic mean horizontal inches incident inclined plane inscribed intersection Latin latus rectum locus luminous point middle point mirror Multiply parabola parallel particle describes passing perpendicular position Post 8vo pressure prism projected prove pully quantity radii radius ratio reflected refracting respectively shew sides sin² specific gravity sphere spherical square straight line string subtends surface tangent tower velocity vertex vertical
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