Biot, who assisted Laplace in revising it [The Mecanique Celeste] for the press, says that Laplace himself was frequently unable to recover the details in the chain of reasoning, and if satisfied that the conclusions were correct, he was content to insert the constantly recurring formula, 'Il est e ise avoir' [it is easy to see].

**-W.W. Rouse Ball**

biot-who-assisted-laplace-in-revising-it-the-mecanique-celeste-for-press-says-that-laplace-himself-was-frequently-unable-to-recover-details-in-chain-reasoning-if-satisfied-that-c

biot quotesassisted quoteslaplace quotesrevising quotesmecanique quotesceleste quotespress quotesfrequently quotesunable quotesrecover quotesdetails quoteschain quotesreasoning quotessatisfied quotesconclusions quotescorrect quotescontent quotesinsert quotesconstantly quotesrecurring quotesformula quotesil quotesest quotese ise quotesavoir quoteseasy quotes

#### Cite

**APA**

**Chicago**

**MLA**

Related Quotes

for-other-great-mathematicians-philosophers-he-used-epithets-magnus-clarus-clarissimus-for-newton-alone-he-kept-prefix-summus-ww-rouse-ball

his-analysis-proved-him-to-be-first-theoretical-astronomers-no-less-than-greatest-arithmeticians-ww-rouse-ball

De Morgan was explaining to an actuary what was the chance that a certain proportion of some group of people would at the end of a given time be alive; and quoted the actuarial formula, involving p [pi], which, in answer to a question, he explained stood for the ratio of the circumference of a circle to its diameter. His acquaintance, who had so far listened to the explanation with interest, interrupted him and exclaimed, 'My dear friend, that must be a delusion, what can a circle have to do with the number of people alive at a given time?

**W.W. Rouse Ball**

de-morgan-was-explaining-to-actuary-what-was-chance-that-certain-proportion-some-group-people-would-at-end-given-time-be-alive-quoted-actuarial-formula-involving-p-pi-which-in-an

de quotesmorgan quotesexplaining quotesactuary quoteschance quotesproportion quotesgroup quotespeople quotesend quotestime quotesalive quotesquoted quotesactuarial quotesformula quotesinvolving quotesp quotespi quotesanswer quotesquestion quotesexplained quotesstood quotesratio quotescircumference quotescircle quotesdiameter quotesacquaintance quoteslistened quotesexplanation quotesinterest quotesinterrupted quotesexclaimed quotesmy quotesdear quotesfriend quotesdelusion quotesnumber quotesalive quotestime quotes

newton-took-no-exercise-indulged-in-no-amusements-worked-incessantly-often-spending-eighteen-nineteen-hours-out-twentyfour-in-writing-ww-rouse-ball

The manner of Demoivre's death has a certain interest for psychologists. Shortly before it, he declared that it was necessary for him to sleep some ten minutes or a quarter of an hour longer each day than the preceding one: the day after he had thus reached a total of something over twenty-three hours he slept up to the limit of twenty-four hours, and then died in his sleep.

**W.W. Rouse Ball**

the-manner-demoivres-death-has-certain-interest-for-psychologists-shortly-before-it-he-declared-that-it-was-necessary-for-him-to-sleep-some-ten-minutes-quarter-hour-longer-each-d

manner quotesdemoivres quotesdeath quotesinterest quotespsychologists quotesshortly quotesdeclared quotessleep quotesten quotesminutes quotesquarter quoteshour quoteslonger quotesday quotespreceding quotesreached quotestotal quotestwentythree quoteshours quotesslept quoteslimit quotestwentyfour quoteshours quotesdied quotessleep quotes

Foreshadowings of the principles and even of the language of [the infinitesimal] calculus can be found in the writings of Napier, Kepler, Cavalieri, Fermat, Wallis, and Barrow. It was Newton's good luck to come at a time when everything was ripe for the discovery, and his ability enabled him to construct almost at once a complete calculus.

**W.W. Rouse Ball**

foreshadowings-principles-even-language-infinitesimal-calculus-can-be-found-in-writings-napier-kepler-cavalieri-fermat-wallis-barrow-it-was-newtons-good-luck-to-come-at-time-when

foreshadowings quotesprinciples quoteslanguage quotesinfinitesimal quotescalculus quotesfound quoteswritings quotesnapier quoteskepler quotescavalieri quotesfermat quoteswallis quotesbarrow quotesnewtons quotesgood quotesluck quotestime quotesripe quotesdiscovery quotesability quotesenabled quotesconstruct quotescomplete quotescalculus quotes

The great masters of modern analysis are Lagrange, Laplace, and Gauss, who were contemporaries. It is interesting to note the marked contrast in their styles. Lagrange is perfect both in form and matter, he is careful to explain his procedure, and though his arguments are general they are easy to follow. Laplace on the other hand explains nothing, is indifferent to style, and, if satisfied that his results are correct, is content to leave them either with no proof or with a faulty one. Gauss is as exact and elegant as Lagrange, but even more difficult to follow than Laplace, for he removes every trace of the analysis by which he reached his results, and studies to give a proof which while rigorous shall be as concise and synthetical as possible.

**W.W. Rouse Ball**

the-great-masters-modern-analysis-are-lagrange-laplace-gauss-who-were-contemporaries-it-is-interesting-to-note-marked-contrast-in-their-styles-lagrange-is-perfect-both-in-form-ma

great quotesmasters quotesmodern quotesanalysis quoteslagrange quoteslaplace quotesgauss quotescontemporaries quotesinteresting quotesnote quotesmarked quotescontrast quotesstyles quoteslagrange quotesperfect quotesform quotesmatter quotescareful quotesexplain quotesprocedure quotesarguments quotesgeneral quoteseasy quotesfollow quoteslaplace quoteshand quotesexplains quotesindifferent quotesstyle quotessatisfied quotesresults quotescorrect quotescontent quotesleave quotesproof quotesfaulty quotesgauss quotesexact quoteselegant quotesdifficult quotesfollow quotesremoves quotestrace quotesreached quotesresults quotesstudies quotesgive quotesrigorous quotesconcise quotessynthetical quotes