# Loge Sentence Examples

- This leads immediately to the simple formula
**loge**(p/po) = (t/90t/6)L/R,. - C. Ferrand, E
**loge**historique de Madame Elisabeth (1814, containing 94 letters; 2nd ed., 1861, containing additional letters, but correspondence mutilated); Du Fresne de Beaucourt, Etude sur Madame Elisabeth (Paris, 1864); A. - If therefore we choose a quantity e such that log e I o X X= I, log i oe = X, which gives (by more accurate calculation) e=2.71828..., we shall have lim(
**loge**(I+0))}/0=I, and conversely 'lim' {ex+0 - e x } 143= The deduction of the expansions log e (' +x) = x - Zx 2 + 3x 3 - ..., e x = I +.x+x2/2!+x3/3!-}-..., is then more simply obtained by the differential calculus than by ordinary algebraic methods. - =
**loge**(P2891) =2.3 logio(p2/p1) (io) In the convective equilibrium of the atmosphere, the air is supposed to change in density and pressure without exchange of heat by conduction; and then PIN = (e/e0) n+1, d5 -(n-{--I) P -(n+I)R ' y - where is the ratio of the specific heat at constant pressure and constant volume. - 21rry/dx units, and the potential V at a point on the axis at a distance x from the annulus due to this elementary charge is ll2 2?rrc V=2 j o (r2+x2) dx=47rrvj log e (2l+1,/ r2 +412 ') -
**loge**'} If, then, r is small compared with 1, we have V =47rry log e llr. - If we assume that s is a linear function of 0, s= so(I +aO), the adiabatic equation takes the form, s 0 log e OW +aso(0 - Oo) +R
**loge**(v/vo) =o - After the revolution of 1830 he came to Paris, formed connexions with numerous political personages, even with King Louis Philippe, and became a brilliant defender of Liberal ideas in the law courts and in the press, - witness his :
**loge**funebre of the bishop Gregoire (1830), his Memoire for the political rehabilitation of Marshal Ney (1833), and his plea for the accused of April (1835). - In 1784 he wrote an essay on balloons, and his
**loge**of Vauban, read by him publicly, won him the commendation of Prince Henry of Prussia. - The two systems of logarithms for which extensive tables have been calculated are the Napierian, or hyperbolic, or natural system, of which the base is e, and the Briggian, or decimal, or common system, of which the base is io; and we see that the logarithms in the latter system may be deduced from those in the former by multiplication by the constant multiplier /
**loge**io, which is called the modulus of the common system of logarithms. - If 1 denotes the logarithm to base e (that is, the so-called "Napierian " or hyperbolic logarithm) and L denotes, as above, " Napier's " logarithm, the connexion between 1 and L is expressed by L = r o 7
**loge**10 7 - 10 7 / or e t = I 07e-L/Ia7 Napier's work (which will henceforth in this article be referred to as the Descriptio) immediately on its appearance in 1614 attracted the attention of perhaps the two most eminent English mathematicians then living - Edward Wright and Henry Briggs. - Since
**loge**(I +x) =x-2x 2 -3x 3 - 4x4+&c., we have, by changing the sign of x, log e (I - x) _ - x - zx 2 - 3x 3 - x 4 - &c.; whence g 1 +x to=2(x+ix'+1x5+&c.), e l - x and, therefore, replacing x by p +q, log e q =2 p +q +3 () 3T ? - As particular cases we have, by putting (q= 1, log e p=2 p 1 +3 (-) 3 l5 5 +&c., and by putting q= p+1,
**loge**(p-f-1) -**logep**=2 2p+1?-s(2p+1)3+5(2p+1)5-i-&c. - Bertrand's "E
**loge**historique," Mein. - MPV/RB =
**loge**(p'/p"), which corresponds with the effect of hydrostatic pressure, and is equivalent to the assumption that the vapour-pressure of the solution at the bottom of the column under pressure P must be equal to that of the pure solvent. - After this time he wrote, among other books, Unser System, Revolutionsnovellen, Die
**Loge**des Humanismus, and Aus fruherer Zeit (his memoirs). - The E
**loge**of Jean le Clerc (Bibliotheque choisie, 1705) has been the basis of the memoirs of Locke prefixed to the successive editions of his Works, or contained in biographical dictionaries. - L'Abbe Morellet (1769); E
**loge**de J.