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\u003cb\u003equantité\u003c/b\u003e totale de mouvement , suivant chacun des axes , est égale à l\u0026#39;impulsion totale des forces estimées sui ... \u003cb\u003equantités\u003c/b\u003e qu\u0026#39;il y a de liaisons . Au lieu de faire cette élimination par le procédé général , nous expri- merons\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA6\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA12","page_number":"12","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e Vdx2 + do2 + dy2 ; et menons par le point O \u0026#39; une droite faisant avec les axes O\u0026#39;x , O\u0026#39;y , O\u0026#39;z , des angles dont les cosinus soient respecti- vement : dx dA , do dA \u0026#39; 17 ; dA je dis que ce sera là l\u0026#39;axe unique de rotation . Il\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA12\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA14","page_number":"14","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e xdz + yd2 + zdy , qui représente dans tous les cas le numérateur du cosi- nus de l\u0026#39;angle formé par l\u0026#39;axe de rotation avec la ligne menée de l\u0026#39;origine O \u0026#39; au point considéré , est évidemment nulle , puisque l\u0026#39;angle est alors de\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA14\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA17","page_number":"17","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e repré- sentée par R Q.odt . Or , ces deux \u003cb\u003equantités\u003c/b\u003e sont égales en valeur absolue , car les deux triangles semblables GRP , KRQ donnent : RG ou OK : RK ou OG :: RP : RQ ; d\u0026#39;où résulte : OG × RP = OK × RQ , ce qui revient à\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA17\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA20","page_number":"20","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e représentée par RO.wdt ; d\u0026#39;un autre côté , en vertu de la rotation autour de O \u0026#39; , il tend à s\u0026#39;élever de la quan- tité RO\u0026#39;.odt . Mais , d\u0026#39;après la proportion ci - dessus , ces deux \u003cb\u003equantités\u003c/b\u003e sont égales en valeur absolue . Donc\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA20\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA21","page_number":"21","snippet_text":"... une part ( par la rotation \u0026amp; qui s\u0026#39;exerce en O ) , à s\u0026#39;abaisser 0 M Ο \u0026#39; Fig . 51 . d\u0026#39;une \u003cb\u003equantité\u003c/b\u003e égale à MO.odt , et d\u0026#39;autre part ( par la rota- tion contraire a qui s\u0026#39;exerce en O \u0026#39; ) à MOUVEMENT D\u0026#39;UN SOLIDE LIBRE . 21.","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA21\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA22","page_number":"22","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e M O\u0026#39;.wdt . Il s\u0026#39;abaisse donc en totalité de la \u003cb\u003equantité\u003c/b\u003e 00\u0026#39;wdt ; ce qui nous montre que son déplacement est tout à fait indépendant de sa situation sur la droite OO \u0026#39; . Ainsi , tous les points de cette droite se déplacent d\u0026#39;une\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA22\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA23","page_number":"23","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e OR.wdt , et , en vertu de la translation , il tend à s\u0026#39;abaisser d\u0026#39;une \u003cb\u003equantité\u003c/b\u003e vdt , qui est égale à la précédente par hypo- thèse . D\u0026#39;ailleurs , le double mouvement ayant pour effet de déplacer tous les points du solide dans\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA23\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA31","page_number":"31","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e totale de mouvement . Ce sont là des conséquences démon- trées pour tous les systèmes matériels . Or , supposons qu\u0026#39;à un instant donné les axes mobiles , de direction constante , auxquels on rapporte la rotation du so- lide\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA31\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA32","page_number":"32","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e Em ( x2 + yr2 ) n\u0026#39;est autre chose que le mo- ment d\u0026#39;inertie par rapport à l\u0026#39;axe principal qui coïncide avec l\u0026#39;axe des z .: c\u0026#39;est la \u003cb\u003equantité\u003c/b\u003e connue que nous avons cou- tume de désigner par C ( no 177 ) . Quant aux sommes Emyzr\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA32\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA33","page_number":"33","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e totale de mouvement , en projection sur un plan perpendiculaire à la nouvelle position de l\u0026#39;axe priu- cipal qui coïncidait primitivement avec l\u0026#39;axe des zr , prend une nouvelle valeur égale à C ( 4 + 4 ) , puisque C lui- même\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA33\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA34","page_number":"34","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e le terme C4 , qui , comme nous l\u0026#39;avons vu ci - dessus , représente la projection avant la rotation , la ... \u003cb\u003equantités\u003c/b\u003e ω , φ , ψ γ représentent les vitesses angulaires , à chaque instant , autour des axes principaux mobiles\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA34\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA37","page_number":"37","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e totale de mouvement , les angles du plan invariable avec les plans coordonnés ont respectivement pour cosinus , A Α \u0026#39; A \u0026quot; , 12 112 , VA2 MOUVEMENT D\u0026#39;UN SOLIDE LIBRE . 37 Image de la rotation au moyen de l\u0026#39;ellipsoïde central.","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA37\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA38","page_number":"38","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e VA2p2 + B2q2 + C2r2 . D\u0026#39;un autre côté , on sait que l\u0026#39;ellipsoïde central ( n ° 177 ) , rapporté à ses axes principaux comme axes de coordonnées , c\u0026#39;est - à - dire rapporté au système d\u0026#39;axes rectangulaires que nous avons choisi\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA38\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA40","page_number":"40","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e que nous avons précédemment désignée par H , et qui représente la projection du moment de la \u003cb\u003equantité\u003c/b\u003e totale de mouvement sur le plan invariable , est constante : donc VA2p2 + B2q2 + C2r2 = const . mais , puisque le point ξ\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA40\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA44","page_number":"44","snippet_text":"... \u003cb\u003equantités\u003c/b\u003e de mouvement par lesquelles les per- cussions sont assignées : soit cette \u003cb\u003equantité\u003c/b\u003e pour une des percussions , et a , 6 , 7 les angles connus de sa direction avec les axes . Les seconds membres expriment la vitesse gagnée par\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA44\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA46","page_number":"46","snippet_text":"... \u003cb\u003equantités\u003c/b\u003e de mouvement qui assignent les percussions en projection sur chaque plan . Les valeurs de p , q , r se ... \u003cb\u003equantité\u003c/b\u003e entre parenthèses du premier membre de la pre- mière des équations ( 2 ) serait égale à 6 , en désignant\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA46\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA49","page_number":"49","snippet_text":"Charles de Freycinet. Si l\u0026#39;on ajoute les \u003cb\u003equantités\u003c/b\u003e analogues , relatives aux di- vers points , on aura la force ... \u003cb\u003equantité\u003c/b\u003e évidemment nulle d\u0026#39;après les propriétés connues du centre de gravité . Si done on désigne par V1 la vitesse\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA49\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA51","page_number":"51","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e de mouvement , la même difficulté n\u0026#39;existe pas , parce qu\u0026#39;on voit très - bien que les vitesses supplémen- taires des divers points étant , les unes positives , les autres négatives , il y a destruction dans la somme , de sorte\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA51\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA54","page_number":"54","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e actuelle de mouvement ne varie jamais . - 212 . La question la plus intéressante qui se présente en matière d\u0026#39;équivalence est de chercher le groupe équi- valent le plus simple possible , et spécialement d\u0026#39;examiner si une force\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA54\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA62","page_number":"62","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e est positive et plus grande que a . L\u0026#39;intensité de R est d\u0026#39;ailleurs égale à P \u0026#39; - P . Cela nous montre que la résultante est égale à la différence des deuxforces , qu\u0026#39;elle agit dans le sens de la plus grande , et qu\u0026#39;elle est\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA62\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA70","page_number":"70","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e du signe moins , puisque dr y Mn I X h M MA Y Fig . 57 . est compté en sens contraire des x positifs sur la figure . Donc enfin , δα = - - y angle MIM ,. On trouverait de même : dy = x . angle MIM1 . Pour tout autre point M\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA70\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA71","page_number":"71","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e de du signe 2 , en sorte d2 A Emr2 . La dt2 que la somme de tous ces termes deviendra \u003cb\u003equantité\u003c/b\u003e Emr2 n\u0026#39;est autre chose que le moment d\u0026#39;inertie du solide par rapport à l\u0026#39;axe fixe : nous représenterons , pour abréger , ce moment\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA71\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA85","page_number":"85","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e de mouvement que l\u0026#39;ensemble des percussions imprime- rait à l\u0026#39;unité de masse supposée libre . De même , P1 et P2 représenteront les \u003cb\u003equantités\u003c/b\u003e de mouvement que recevrait , en chacun des points fixes Oct H , l\u0026#39;unité de masse\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA85\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA94","page_number":"94","snippet_text":"... \u003cb\u003equantités\u003c/b\u003e X. , Y. , Z , et les coordonnées xr , yr , rr des points d\u0026#39;application de ces forces ne représentaient au- cune inconnue distincte , et que les cosinus a , a \u0026#39; , a ... \u003cb\u003equantité\u003c/b\u003e 1 2 2 94 LIVRE V. -- SOLIDES GÉOMÉTRIQUES .","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA94\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA95","page_number":"95","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e 2 1 2 √ * + * + * df dz 2 • Haf df dz D\u0026#39;un autre côté , les coordonnées x , y , z et xr , yr , zr se rapportant à un même point , on a , d\u0026#39;après les relations con- nues entre les axes fixes et les axes mobiles , considérées\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA95\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA103","page_number":"103","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e essentiellement positive , puisque toutes les réac- tions ont le même signe , et que les ordonnées b3 , b1 .... sont , par hypothèse , positives . Ainsi le point de rencontre de la résultante unique est situé du même côté de l\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA103\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA134","page_number":"134","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e de mouvement de ses divers points , c\u0026#39;est - à - dire ce que nous avons nommé les forces conservées , elles pour - ront , comme les autres , être remplacées par une résultante unique , provenant de leur translation parallèle au\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA134\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA137","page_number":"137","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e 1 / cos 2 cos 2μ COS + + C2 B2 A2 Or , pour que l\u0026#39;axe instantané soit perpendiculaire au plan du couple G ... \u003cb\u003equantités\u003c/b\u003e A , B , C. Sauf ce cas très - particulier , pour lequel on voit d\u0026#39;ailleurs à priori qu\u0026#39;à cause de la\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA137\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA155","page_number":"155","snippet_text":"... \u003cb\u003equantités\u003c/b\u003e analogues à ( 2 ) , et qu\u0026#39;on les ajoute , la somme d2x d2z ( 3 ) da Emd.x + day 2md.y + 2 Emd , z di d2y ... \u003cb\u003equantité\u003c/b\u003e ( 3 ) est nulle : car les forces de liaisons nécessaires pour la solidification du système à un moment\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA155\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA157","page_number":"157","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e obtenue , en remar- quant que les variations élémentaires des vitesses angulaires sont les mêmes pour tous les points , pourra s\u0026#39;écrire ainsi : Σm dx dz dr2m ( x - y ) + dq Em ( z − x ) + dy de dx dt di dz + dp2m de y dry dt\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA157\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA158","page_number":"158","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e totale de mouvement due aux seules vitesses relatives ou d\u0026#39;ébranlement des particules . Or , la solidification du système ne changeant pas les moments de sa \u003cb\u003equantité\u003c/b\u003e absolue de mouvement , il s\u0026#39;ensuit que les mo- ments\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA158\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA159","page_number":"159","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e suivante : - ( q2 + r2 ) Emxdx , - ( p2 + r2 ) mydy , - ( p2 + q2 ) mzdz . Or , remarquons que xdx peut être remplacé par la dif- férentielle de x2 , prise dans le seul mouvement relatif , c\u0026#39;est - à - dire par d1x2 : de même\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA159\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA160","page_number":"160","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e très - petite . S A cet effet , intégrons par partie , il viendra : A + q2dB + r2dC ) = A1p - Ap2 + ( p2d A 2 + C - to Bdq2 2 2 + B19 - Boq + + Cdr2 ) . nous Or , les valeurs des moments d\u0026#39;inertie , à une époque quel- conque\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA160\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA161","page_number":"161","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e négligeable . Quant à l\u0026#39;intégrale de ce second membre , elle est aussi très - petite , puisque les valeurs des fonctions du temps , δΑ , Β , C , sont constamment fort peu différentes de zéro . Donc enfin , le second membre tout\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA161\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA167","page_number":"167","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e totale de mouvement n\u0026#39;a pas varié conjointement avec la somme des forces vives . On sait en effet d\u0026#39;une manière générale que des actions réciproques , de quelque nature qu\u0026#39;elles soient d\u0026#39;ailleurs , n\u0026#39;influent pas sur la \u003cb\u003equantité\u003c/b\u003e\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA167\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA168","page_number":"168","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e ( M + M \u0026#39; ) V , ce second membre de- viendra : ÷ M V2 + ¦ M\u0026#39;V\u0026#39;2 + ( M + M ) V2 - ( M + M ) V. En ayant égard à l\u0026#39;équation ( 2 ) , on peut , dans le dernier terme , remplacer ( M + M \u0026#39; ) V1 par MV + M\u0026#39;V \u0026#39; . L\u0026#39;expres- sion\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA168\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA169","page_number":"169","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e de mouvement . 4 ° Cette vitesse serait nulle , et , par suite , les deux corps demeureraient immobiles après le choc , si les deux \u003cb\u003equantités\u003c/b\u003e de mouvement étaient égales . La perte de force vive est alors totale , et c\u0026#39;est ce\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA169\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA195","page_number":"195","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e donnée , tandis que p , X et cosa conservent des valeurs finies . Donc , à la limite , le dernier terme est nul , et par conséquent p \u0026#39; = p . Ainsi , pour des aires infiniment petites , la pression est constante , dans tous les\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA195\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA200","page_number":"200","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e infiniment petite \u0026amp; vers l\u0026#39;intérieur \u0026lt;\u0026lt; de l\u0026#39;enveloppe ; que la portion du fluide qui est située en \u0026lt;\u0026lt;\u0026lt; dedans du canal ACB glisse le long de ce canal sans en \u0026lt;\u0026lt;\u0026lt; sortir , et suive ainsi le mouvement du piston A , tout en\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA200\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA214","page_number":"214","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e Xdx + Ydy + Zdz est la différentielle exacte d\u0026#39;une fonction de x , y , z , considérées comme variables indépendantes ; de sorte que , si q ( x , y , z ) représente cette fonction , on a do ( x , y , z ) = Xdx + Y dy + Zdz . Il\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA214\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA216","page_number":"216","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e Xdx + Ydy + Zdz différentielle exacte d\u0026#39;une fonction des coordonnées . C\u0026#39;est pourquoi on définit souvent la verticale , qui n\u0026#39;est autre que la direction de la pesanteur , une perpendiculaire à la sur- face des eaux tranquilles\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA216\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA217","page_number":"217","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e constante , assignée a priori , et qui ne peut varier sous l\u0026#39;in- se réduit à pφ ; et fluence des pressions . L\u0026#39;intégrale S pdo par suite ( 7 ) p = k + ρφ . La valeur de k est déterminée , comme nous avons dit , par la condition\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA217\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA219","page_number":"219","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e constante , qui se déterminera d\u0026#39;après la pression connue p1 qui a lieu en un certain point pour lequel la fonction \u0026amp; prend une certaine valeur 1 . On a donc P1 Ce , et par suite , en divisant la relation ( 10 ) par cette\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA219\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA222","page_number":"222","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e k est déterminée par la condition qu\u0026#39;à la surface supérieure du liquide , c\u0026#39;est - à - dire pour z = o , la pression pne soit autre que celle de l\u0026#39;atmosphère . Mais , comme cette pres- sion constante se transmet intégralement à\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA222\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA224","page_number":"224","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e de pressions de sens contraires ou de même sens , fournies par les parois , qui se retranchent ou s\u0026#39;ajoutent aux pressions sur le fond , pour former le poids observé du li- quide . Il paraît inutile d\u0026#39;ajouter que tout ce que\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA224\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA227","page_number":"227","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e de liquide susceptible de produire exactement la même pression pgh , par unité superficielle . Si donc on se sert d\u0026#39;un liquide différent , de densité p \u0026#39; , il faudra que la hauteur h \u0026#39; soit telle que la pression p\u0026#39;g\u0026#39;h \u0026#39; qu\u0026#39;il\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA227\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA229","page_number":"229","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e est égale à l\u0026#39;étendue de ia surface , multipliée par la distance du centre de gravité aa même plan ( no 185 ) . Donc , si l\u0026#39;on désigne par A la surface en question , et par z , la distance de son centre de gravit au plan de\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA229\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA247","page_number":"247","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e p qui figure dans les équations précédentes est la pression totale ; elle représente en chaque point la pression qui règne à la partie supérieure du fluide , accrue des actions de la gravité sur toute la hauteur de gaz\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA247\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA248","page_number":"248","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e qui se réduit évidemment à l\u0026#39;expression déjà trou- vée pour p - p \u0026#39; . Cette propriété est indiquée à celle que nous avions si- gnalée pour les fluides incompressibles ( n ° 275 ) . Pressions supportées par un corps plongé dans\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA248\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA249","page_number":"249","snippet_text":"... \u003cb\u003equantités\u003c/b\u003e constantes in- dépendantes de la température , et t cette température . L\u0026#39;équation différentielle des ... \u003cb\u003equantité\u003c/b\u003e constante . En effet , la température variant d\u0026#39;un point à un autre , on doit regarder t comme étant , de\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA249\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA250","page_number":"250","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e constante C - I ack . Par suite , il vient : p = p k 2 ; c\u0026#39;est - à - dire que la différence de pression , entre deux niveaux quelconques , est , dans cette hypothèse , proportionnelle à la hauteur qui les sépare . Mais le plus\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA250\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA261","page_number":"261","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e de fluide entrée par les trois faces sur la \u003cb\u003equantité\u003c/b\u003e de fluide qui est sortie dans le même instant par les trois autres . C\u0026#39;est cette condition générale que nous allons exprimer : elle contien- dra la première comme cas\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA261\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA275","page_number":"275","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e dont le signe et la grandeur dépendent des rapports entre a , A et a . Cette valeur générale de la pression se vérifie immédiatement pour l\u0026#39;orifice lui - même , puisqu\u0026#39;on a alors z = h , a = a ; par suite le multiplicateur\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA275\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA277","page_number":"277","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e de liquide sorti par l\u0026#39;orifice dans un temps donné . Pour évaluer ce débit , il faut évidemment multiplier la section de l\u0026#39;orifice par la vitesse à la sortie et par le temps considéré . Ainsi , pour une durée T , le volume de\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA277\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA280","page_number":"280","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e fort petite par suite de la faible valeur de la densité du gaz . Du reste , la manière de raisonner sera absolument la même , et nous continuerons à faire usage de l\u0026#39;hypothèse du parallélisme des tranches . Il y a lieu\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA280\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA281","page_number":"281","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e très - petite par rap- port à k log p1 , on a simplement ( 2 ) k log p = w2 + const . Nous déterminerons la constante par la condition que sur la surface BC la pression pest égale à la pression motrice connue π ; quant à la\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA281\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA282","page_number":"282","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e 122 peut être négligée , parce que l\u0026#39;orifice a est beaucoup moin- dre que la section A ; en sorte que les valeurs de Vet de w prennent des formes plus simples : ( 6 bis ) V = 2k log , ( bis ) = √2k log w : απ \u0026#39; ap π et , par\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA282\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA285","page_number":"285","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e totale de mouvement ( n ° 131 ) . Or , si nous prenons l\u0026#39;axe Ox pour droite de projection , l\u0026#39;impulsion élémentaire de la force pro- jetée sera Pdt , puisque P est parallèle à Ox . Quant à la va- riation de la \u003cb\u003equantité\u003c/b\u003e de\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA285\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA286","page_number":"286","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e de mouvement , repré- sentée précisément par celle que possédait la masse qui a jailli . Or , cette dernière \u003cb\u003equantité\u003c/b\u003e de mouvement est expri- mée par paVdt × V ; en conséquence , on a la relation Pdt = padt × V , ou , en\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA286\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA287","page_number":"287","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e de mouvement , qui leur correspond , de celle qu\u0026#39;avaient les molécules à leur sortie du tuyau . On voit ainsi que toutes les molécules dont les vitesses reviennent en arrière ont pour résultat de diminuer l\u0026#39;effort que supporte\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA287\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA291","page_number":"291","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e H désigne évidemment ce que devient la résistance pour une vitesse égale à l\u0026#39;unité . Or , soit k une vitesse telle que la résistance correspondante H k2 soit précisément égale à la force P : on pourra rem- P placer H par cette\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA291\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA294","page_number":"294","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e k est plus grande : et c\u0026#39;est ce qui doit être ; car k désigne la vitesse qui corres- pond à une résistance égale à la force motrice . Si cette vi- tesse est très - grande , c\u0026#39;est que la résistance est relativement très - faible\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA294\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA297","page_number":"297","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e entre parenthèses devient : apt 1+ - k2 p2t2 2k2 en négligeant tous les termes dont le dénominateur ren- ferme k à une puissance supérieure à la deuxième . Le loga- rithme en question est donc celui de 1+ ( a ) . Le second\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA297\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA299","page_number":"299","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e k est plus grande ; car le coefficient k peut s\u0026#39;écrire Va2 + k2 √1 + a2 k2 ; et , sous cette forme , on voit bien qu\u0026#39;à mesure que k augmente , le dénominateur di- minue et converge vers l\u0026#39;unité . Il revient au même de dire que\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA299\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA300","page_number":"300","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e dont le logarithme est égal au double de celui de sa racine k Par conséquent on a pour valeur de ta , ⚫ Va2 + k2 - a k k ta log p Va2 + k2 - a Cette valeur diffère de celle qu\u0026#39;on a trouvée pour le temps t1 , qui s\u0026#39;écoule\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA300\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA306","page_number":"306","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e C est une constante d\u0026#39;intégration , déterminée dans le cours du calcul par la con- dy n\u0026#39;est dition qu\u0026#39;à l\u0026#39;origine du mouvement le rapport da autre que la valeur connue de la tangente trigonométrique de l\u0026#39;angle a formé par la\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA306\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA308","page_number":"308","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e qui , multipliée par le coefficient de P p2 1 x2 + x3 + .. 2a2cos2 a 12 a2 cos2 a k2 cette parenthèse , devient Lorsque k est infini , tous les termes qui le renferment en dénominateur s\u0026#39;évanouissent , et la relation ( 6 ) se\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA308\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA322","page_number":"322","snippet_text":"... avoir la vitesse . On ne connaît pas l\u0026#39;intégrale générale du second mem- bre : on ne peut intégrer qu\u0026#39;approximativement , en développant la \u003cb\u003equantité\u003c/b\u003e sous le radical en série . Les formules 322 PROBLÈMES SPÉCIAUX . LIVRE VII . -","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA322\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA323","page_number":"323","snippet_text":"Charles de Freycinet. loppant la \u003cb\u003equantité\u003c/b\u003e sous le radical en série . Les formules connues fournissent : 02 cos 1 + 2 04 1.2.3.4 ...... α2 a4 cos a = 1 + 2 1.2.3.4 ..... chacune de ces séries est convergente , si l\u0026#39;on suppose que θ et a\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA323\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA324","page_number":"324","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e est alors égale à -1 , et l\u0026#39;arc qui a - 1 α pour cosinus n\u0026#39;est autre que π , en sorte que la durée T de l\u0026#39;oscillation entière a pour valeur : ( 6 ) Τ = π ι 9 Ce résultat , extrêmement simple , nous apprend que la durée des\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA324\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA330","page_number":"330","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e évidemment égale à π . L\u0026#39;expression de la durée T d\u0026#39;une oscillation entière de- vient alors , en mettant en facteur commun , 1.32 / 6 / 2 ( 6 ) = √ [ 1+ ( 2 ) + ( ) * ( ) * + g 1.3.52 3 2.4 + ( ) * ( ) * + ..... ] . 2.4.6 / 6\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA330\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA333","page_number":"333","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e √1- gl 4k2 1 On détermine les deux constantes arbitraires par la con- dition qu\u0026#39;à l\u0026#39;origine du temps l\u0026#39;angle est égal à a , et la do vitesse angulaire at est nulle . Par suite , les valeurs de l\u0026#39;angle 0 et de la vitesse moment\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA333\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA336","page_number":"336","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e 21g 2 On trouve , par un calcul approximatif où l\u0026#39;on néglige les quatrièmes puissances de a , que l\u0026#39;amplitude des oscillations successives décroît encore , mais non selon une progression géométrique ; et qu\u0026#39;en général si l\u0026#39;on\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA336\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA337","page_number":"337","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e correspondante , afin que la durée totale demeure la même . Cette circonstance tient à ce que dans la première demi- oscillation la résistance du milieu agit en sens contraire de la pesanteur , et par suite diminue la vitesse\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA337\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA338","page_number":"338","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e égale au poids du fluide déplacé . Ils agissent donc sur la valeur de g , et la rendent plus faible . Par suite , la durée de l\u0026#39;oscilla- tion se trouve augmentée d\u0026#39;une manière correspondante . Il y a même à tenir compte de ce\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA338\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA341","page_number":"341","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e Eml , qui figure dans le deuxième membre , n\u0026#39;est autre chose que le moment d\u0026#39;inertie du corps , par rap- port à l\u0026#39;axe de suspension . Or l\u0026#39;on sait , d\u0026#39;après la proposi- tion du no 175 , que ce moment d\u0026#39;inertie est égal au\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA341\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA347","page_number":"347","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e r2 + y2 2 par les cosinus des angles que forme la droite O M avec les axes , c\u0026#39;est - à - dire par X V x2 + y2 et y V x2 + y2 Remar- quons , d\u0026#39;ailleurs , que ces composantes sont toutes deux né- gatives ; les équations ci\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA347\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA351","page_number":"351","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e 1 - e2 devient nulle ; le pro- duit garde une valeur finie , qui n\u0026#39;est autre que le paramètre de la parabole . Revenant à l\u0026#39;équation ( 7 ) de la trajectoire du mobile , on voit que cette trajectoire sera l\u0026#39;une des trois\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA351\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA358","page_number":"358","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e également constante . 2 a2 a Cette conséquence était du reste évidente à priori , et l\u0026#39;on avait déjà eu occasion de la signaler d\u0026#39;une manière géné- rale en parlant des forces centripètes . Assimilation des mouvements\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA358\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA367","page_number":"367","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e , au lieu de qui s\u0026#39;y trouvait lors- 2 qu\u0026#39;on avait conçu le soleil comme absolument fixe . Si l\u0026#39;on se réporté à la signification de μ , dans les calculs précités , oι voit que cette \u003cb\u003equantité\u003c/b\u003e représente exactement f\u0026#39;M . En effet\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA367\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA368","page_number":"368","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e fM , qui effec- tivement ne change pas , mais bien la \u003cb\u003equantité\u003c/b\u003e f ( M + m ) , laquelle contient , outre la masse du soleil , celle de la pla- nète , et qui , par conséquent , doit changer quand on passe d\u0026#39;une planète à l\u0026#39;autre\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA368\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA372","page_number":"372","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e connue , et , une fois fM dé- terminé , au moyen d\u0026#39;une planète à masse négligeable , on m trouverait le rapport pour toutes celles qui seraient de grandeur suffisante . L\u0026#39;obstacle , on le voit , vient de ce que , dans la\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA372\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA373","page_number":"373","snippet_text":"... \u003cb\u003equantités\u003c/b\u003e de même ordre , qui sont deux rapports également petits . On peut ainsi trouver , avec une grande exactitude , la fraction qui ... \u003cb\u003equantité\u003c/b\u003e y représente donc MOUVEMENTS PLANÉTAIRES . 373 Méthode spéciale pour la lune.","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA373\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA374","page_number":"374","snippet_text":"Charles de Freycinet. nous désignerons par y . Cette \u003cb\u003equantité\u003c/b\u003e y représente donc le terme fim en appelant m la masse de la terre et r son rayon : on a ainsi une relation fm 7 = obtenue en dehors des faits astronomiques , et qui résulte de\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA374\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA392","page_number":"392","snippet_text":"... dT . Nous de- vons d\u0026#39;abord exprimer que la composante de la tension sui- vant l\u0026#39;axe des x est constante . On aura dx ( 1 ) Tc , ds e désignant une \u003cb\u003equantité\u003c/b\u003e qui ne varie pas avec le 392 PROBLÈMES SPÉCIAUX . LIVRE VII . -","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA392\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA393","page_number":"393","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e qui , ds avons - nous dit , doit être égale à pds . On aura ainsi pour seconde équation : ( 2 ) d ( ) = pds . T ds Si nous remplaçons T par sa valeur , tirée de la première équation , il vient ( 3 ) cd dy dx = pds ; mais ds\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA393\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA400","page_number":"400","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e , mais sa composition . Le même homme qui ne pouvait surmonter une certaine action de la gravité , le long d\u0026#39;un certain espace , est très - capable de surmonter une action dix fois moindre , le long d\u0026#39;un espace dix fois plus\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA400\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA413","page_number":"413","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e de travail , sous forme de force vive , qu\u0026#39;on utilise ensuite à un moment donné . En pareil cas , c\u0026#39;est l\u0026#39;équation ( 1 ) et non l\u0026#39;équation ( 2 ) , qui exprime la loi du travail . Dans toutes les circonstances où l\u0026#39;on désire que\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA413\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA423","page_number":"423","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e D\u0026#39;h égale à celle dont A \u0026#39; C \u0026#39; est surpassée par A \u0026#39; k qui est égal à B\u0026#39;h : en sorte que la différence entre les deux bras de levier est égale au double de C\u0026#39;k , ou au double de OI multiplié par Je sinus de l\u0026#39;angle IO I\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA423\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA430","page_number":"430","snippet_text":"... \u003cb\u003equantité\u003c/b\u003e h par sa valeur 2πr . tangi , nous obtiendrons pour la relation d\u0026#39;équilibre : P = \u0026quot; tang , rtangi Q R. ou P = Qtangi ; ce qui nous prouve qu\u0026#39;on pourra vaincre une résistance Q avec une puissance P aussi petite qu\u0026#39;on le voudra\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA430\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA435","page_number":"435","snippet_text":"... sont que l\u0026#39;expression , sous une forme peu différente , de ces lois fon- damentales elles - mêmes . C\u0026#39;est ainsi que les théorèmes sur la conservation de la \u003cb\u003equantité\u003c/b\u003e de mouvement et sur la translation uniforme du centre 28 .","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA435\u0026vq=quantit%C3%A9\u0026hl=fr"},{"page_id":"PA436","page_number":"436","snippet_text":"Charles de Freycinet. \u003cb\u003equantité\u003c/b\u003e de mouvement et sur la translation uniforme du centre de gravité , dans les systèmes ... \u003cb\u003equantités\u003c/b\u003e de mouvement qu\u0026#39;elles peuvent imprimer sont aussi égales deux à deux et de signes contraires , ce qui\u0026nbsp;...","page_url":"https://books.google.fr/books?id=s5M5AAAAcAAJ\u0026pg=PA436\u0026vq=quantit%C3%A9\u0026hl=fr"}],"search_query_escaped":"quantité"},{});</script></div></div></div><script>(function() {var href = window.location.href;if (href.indexOf('?') !== -1) {var parameters = href.split('?')[1].split('&');for (var i = 0; i < parameters.length; i++) {var param = parameters[i].split('=');if (param[0] == 'focus') {var elem = document.getElementById(param[1]);if (elem) {elem.focus();}}}}})();</script>