Synopsis
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1885 Excerpt: ...whilst the second fixed point is obtained by immersion in distilled water. This latter point is called 10, the interval is divided into 10 equal parts and the graduation is continued upwards. As with the other instrument, the true value of a division is uncertain. We shall follow the values obtained by Gerlach, using the formula 145-88 S"= 135-88 + N" 1 Taken from Gerlach, Dingler's Journal, 1870. Table E. Value Of Degrees Op Baume's Hydrometer For Light Liquids At 12'5 C. 98. Harmonically-divided Densimeters.--If a densimeter could be constructed in which the successive divisions expressed equal difference of density, it would possess an advantage over the instrument whose construction we have described, for it would be much easier to read, and the use of awkward numbers would be avoided. Unfortunately, the accurate graduation of such an instrument is decidedly complicated. We know that if V be the volume of the part immersed in a liquid of density S, then VS = W where W is the weight of the hydrometer. In like manner, for liquids of densities S', S" we have VS' = W and V"S" = W, whence VS = VS' = V"S", etc. Now if S, S', S", etc., be a series of densities increasing in arithmetical progression such as 1, 1 + b, 1 + 2b, etc., we shall have for the corresponding volumes V, j ji etc. s Thus as the densities increase in arithmetical progression the volumes immersed decrease in harmonical progression. If, then, we wished to graduate a hydrometer so that the successive divisions should indicate successive equal increments of density, it would be necessary to divide the stem according to harmonical progression. As yet no convenient instrument has been constructed by which this may be accomplished, so that the preparation o...
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