Elements of Physical Manipulation, Part 1Hurd & Houghton, 1873 |
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Page 3
... equations . The Graphical Method has , however , the advantage of quickness , and of enabling us to see at a glance the accuracy of our results . ANALYTICAL METHOD . - - Mean . Suppose we have a number of observations , A1 , A2 , A3 , A ...
... equations . The Graphical Method has , however , the advantage of quickness , and of enabling us to see at a glance the accuracy of our results . ANALYTICAL METHOD . - - Mean . Suppose we have a number of observations , A1 , A2 , A3 , A ...
Page 4
... equation for probable error , we deduce E = 477 ÷ √nw if all the observations have the same weight , or E = 477 ÷ / w1 + w + & c . , if their weights are W1 , W2 , & c . - 2 Probable Error of Two or More Variables . Suppose we have a ...
... equation for probable error , we deduce E = 477 ÷ √nw if all the observations have the same weight , or E = 477 ÷ / w1 + w + & c . , if their weights are W1 , W2 , & c . - 2 Probable Error of Two or More Variables . Suppose we have a ...
Page 5
... equation of condition , and take their sum ; differ- entiate this with regard to a , b and c , successively , and place each differential coefficient equal to zero . These last are called normal equations , and correspond to each of the ...
... equation of condition , and take their sum ; differ- entiate this with regard to a , b and c , successively , and place each differential coefficient equal to zero . These last are called normal equations , and correspond to each of the ...
Page 6
... equation 0 = 1 + ax + by , we have 0 11.4x + .8y , or y = 1.75x - 1.25 . Constructing the line thus found , we obtain MN , Fig . 1 , which will be seen to agree very well with our original conditions . For a fuller description of the ...
... equation 0 = 1 + ax + by , we have 0 11.4x + .8y , or y = 1.75x - 1.25 . Constructing the line thus found , we obtain MN , Fig . 1 , which will be seen to agree very well with our original conditions . For a fuller description of the ...
Page 8
... equation , — B ' = B1 + nD „ ' + n ( n − 1 ) D_ " , 1.2 which is a simple quadratic equation . Substitute this value of n in the terms we have neglected , and call the result N , then = B ' Bm + nD1 ' + m n ( n - 1 ) 1. 2 D " + N ...
... equation , — B ' = B1 + nD „ ' + n ( n − 1 ) D_ " , 1.2 which is a simple quadratic equation . Substitute this value of n in the terms we have neglected , and call the result N , then = B ' Bm + nD1 ' + m n ( n - 1 ) 1. 2 D " + N ...
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abscissas accuracy accurate amount angle of incidence angular aperture aperture Apparatus attached axis barometer beam brass Canada balsam centre coincide color column compute construct contour lines cross-hairs crystal curve determined diameter distance divided draw equal equation error Experiment eye-piece focus friction gives graduated circle hole horizontal hydrometer inches index of refraction instrument intervals latter length lens lenses liquid marked measure mercury meter method micrometer microscope millimetre minute mirror moving nearly Nicol's prism object observations obtained opthalmoscope paper parallel pass piece placed plane of polarization plate of glass polariscope polarized light position pressure reading reflected refraction remove rendered residual curve retina right angles scale scale-pan screw side slide slit specific gravity spherometer surface telescope temperature tenths tube turn varying velocity vernier vertical vibrations visible volume wave-length weight wire