Hydroxylic oxygen is obtained by subtracting the molecular refractions of acetic acid and acetaldehyde.
With integers, besides adding and subtracting, it was easy to double and to multiply by 10:
- The change of intrinsic energy E along any path is found by subtracting the work pdv from either of the expressions for dH.
P. 211, Paris, 1869) proposed an equation of the form (p+po)(v - b) =RO, in which the effect of the size of the molecules is represented by subtracting a quantity b, the " covolume," from the volume occupied by the gas, and the effect of the mutual attractions of the molecules is represented by adding a quantity po, the internal pressure, to the external pressure, p. This type of equation, was more fully worked out by van der Waals, who identified the internal pressure, po, with the capillary pressure of Laplace, and assumed that it varied directly as the square of the density, and could be written a/v 2 .
The year of the era, therefore, will be found by subtracting the number of the Olympic year from 776.
Since five Olympic periods have elapsed, the third year of the sixth Olympiad is 5X4+3=23; therefore, subtracting 23 from 776, we have 753, which is the year before Christ to which the foundation of Rome is referred by Varro.
Dates expressed according to this era are reduced to the common era by subtracting 5502, up to the Alexandrian year 57 86 inclusive, and after that year by subtracting 5492; but if the date belongs to one of the four last months of the Christian year, we must subtract 5503 till the year 5786, and 5493 after that year.
As the Syrian year began in autumn, the year of Christ corresponding to any year in the mundane era of Antioch is found by subtracting 5492 or 5493 according as the event falls between January and September or from September to January.
As the era of Spain began with the 1st of January, and the months and days of the year are those of the Julian calendar, any date is reduced to the common era by subtracting thirty-eight from the number of the year.
Equating this to the momentum entering at B and subtracting P' from each X+W+p(U - u)2 =poU 2.
Taking, for example, the number 1.087678, the object is to destroy the significant figure 8 in the second place of decimals; this is effected by multiplying the number by 1- 08, that is, by subtracting from the number eight times itself advanced two places, and we thus obtain 100066376.
To Compute The Times Of The New Moons Which Determine The Commencement Of Successive Years, It Must Be Observed That In Passing From An Ordinary Year The New Moon Of The Following Year Is Deduced By Subtracting The Interval That Twelve Lunations Fall Short Of The Corresponding Gregorian Year Of 365 Or 366 Days; And That, In Passing From An Embolismic Year, It Is To Be Found By Adding The Excess Of Thirteen Lunations Over The Gregorian Year.
The Gregorian epact being the age of the moon of Tebet at the beginning of the Gregorian year, it represents the day of Tebet which corresponds to January I; and thus the approximate date of Tisri I, the commencement of the Hebrew year, may be otherwise deduced by subtracting the epact from Sept.
According to an important law discovered by Rydberg and shortly afterwards independently by the writer, the frequency of the common root of the two branches is obtained by subtracting the frequency of the root of the trunk from that of its least refrangible and strongest member.
The variation of gases from Boyle's law is represented in the equation of Van der Waals by subtracting a constant b from the total volume to represent the effect of the volume of the molecules themselves.
If the local sidereal time of the observation is known, the right ascension of the star becomes known by adding the observed hour angle to the sidereal time if the star is west of the meridian, or subtracting it if east of the meridian.
The rate of change of the latent heat is easily deduced from that of the total heat by subtracting the specific heat of the liquid.
The latent heat L (formula 9) is found by subtracting from H (equation 15) the values of the heat of the liquid h given in the same article.
(4) Multiplying equation (2) by xo, and subtracting it from (4), E E
In Subtracting From The Left, We Look Ahead To See Whether A I In Any Denomination Must Be Reserved For Changing; Thus In Subtracting 274 From 637 We Should Put Down 2 From 6 As 3, Not As 4, And 7 From 3 As 6.
Starting from the dividend, we in theory keep on subtracting the unit, and count the number of subtractions that have to be performed until nothing is left.
If the complete square root is a+b, the remainder after subtracting a 2 is (2a+b)b.
Subtracting 90° from (ND) gives the altitude; and subtracting (ND) from 180° gives the zenith distance.
From special returns to parliament the following table shows net income and expenditure over a series of years up to 1868: The amount of imperial revenue collected and expended in Ireland under various heads for the five years1902-1906appears in the following tables: Subtracting in each year the total expenditure from the estimated true revenue it would appear from the foregoing table that Ireland contributed to imperial services in the years under consideration the following sums: £2,570,000, £2,852,000, £2,200,500, £2,186,500 and £1, 811,500.
It is true that we obtain this result by subtracting 3 from io by means of a subtractiontable (concrete or ideal); but this table merely gives the generalized results of a number of operations of addition or subtraction performed with concrete units.
We replace 4(x3), for instance, by 4x4.3, because we know that, whatever the value of x may be, the result of subtracting 3 from it and multiplying the remainder by 4 is the same as the result of finding 4x and 4.3 separately and subtracting the latter from the former.
The thermal effect of the " alcohol " group C. OH may be determined by finding the heat of formation of the alcohol and subtracting the thermal effects of the remaining linkages in the molecule.
By subtracting the value for CH 2, which may be derived from two substances belonging to the same homologous series, from the molecular refraction of methane, CH 4, the value of hydrogen is obtained; subtracting this from CH 2, the value of carbon is determined.
The revenue in the Italian financial year 1905-1906 (July I, 1905 to June 30, 1906) was 102,486,108, and the expenditure 99,945,253, or, subtracting the partite di giro, 99,684,121 and 97,143,266, leaving a surplus of 2,54o,855.f The surplus was made up by contributions from every branch of the effective revenue, except the contributions and repayments from local authorities.