## Sentence Examples

**It****was****first****published****at****Nuremberg****by****Melchior****Pfintzing****in**1517,**and****was****adorned****with****woodcuts****by****Hans****Leonhard****Schaufelein**.**Leonhard**,**Count****Von****Blumenthal**>>**Wehofer**,**Die****Apologie****Justins****des****Philosophen****and****Mdrtyrers****in****litterarhistorischer****Beziehung****zum****ersten****Male****untersucht**(1897);**Alfred****Leonhard****Feder**,**Justins****des****Mdrtyrers****Lehre****von****Jesus****Christus**(1906).**Iron****ore****is****extracted****in****the****region****of****the****Saualpe**,**and****is****worked****in****the****foundries****of****St****Leonhard**,**St****Gertraud**,**Pravali**,**Hirt**,**Treibach****and****Eberstein**.**The****complete****analytical****treatment****was****first****given****by****Leonhard****Euler**.**In**1740**Maclaurin****divided****with****Leonhard****Euler****and****Daniel****Bernoulli****the****prize****offered****by****the****French****Academy****of****Sciences****for****an****essay****on****tides**.**The****influence****of****Schleiermacher**,**whose****pupil****Leonhard****Usteri****in****his****Entwickelung****der****paulinischen****Lehrbegriffs**(1824)**expressed****strong****doubts****as****to****Ephesians**,**carried****weight**.**The****director**,**Schmalfuss**,**encouraged****him****in****his****mathematical****studies****by****lending****him****books**(**among****them****Leonhard****Euler'****s****works****and****Adrien****Marie****Legendre'****s****Theory****of****Numbers**),**which****Riemann****read**,**mastered****and****returned****within****a****few****days**.**At****the****age****of****nineteen****he****communicated****to****Leonhard****Euler****his****idea****of****a****general****method****of****dealing****with**"**isoperimetrical**"**problems**,**known****later****as****the****Calculus****of****Variations**.**His****development****of****the****equation****x****m**+-**px**=**q****in****an****infinite****series****was****extended****by****Leonhard****Euler**,**and****particularly****by****Joseph****Louis****Lagrange**.**In****this****they****were****completely****successful**,**for****they****obtained****general****solutions****for****the****equations****ax****by**=**c**,**xy**=**ax**+**by**+**c**(**since****rediscovered****by****Leonhard****Euler**)**and****cy**2 =**ax****e**+**b**.**Continued****fractions**,**one****of****the****earliest****examples****of****which****is****Lord****Brouncker'****s****expression****for****the****ratio****of****the****circumference****to****the****diameter****of****a****circle**(**see****Circle**),**were****elaborately****discussed****by****John****Wallis****and****Leonhard****Euler**;**the****convergency****of****series****treated****by****Newton**,**Euler****and****the****Bernoullis**;**the****binomial****theorem**,**due****originally****to****Newton****and****subsequently****expanded****by****Euler****and****others**,**was****used****by****Joseph****Louis****Lagrange****as****the****basis****of****his****Calcul****des****Fonctions**.**KARL****LEONHARD****REINHOLD**(1758**-**1823),**German****philosopher**,**was****born****at****Vienna**.**See****Leonhard****Balm**,**Geschichte****des****Temeser****Banats**(2**vols**.,**Leipzig**, 1861);**Johann****Heinrich****Schwicker**,**Geschichte****des****Temeser****Banats**(**Pest**, 1872).**A****little****later****Janus****Cornarius****or****Hagenbut**(150o**-**1558)**and****Leonhard****Fuchs**(1501**-**1566)**in****Germany**,**and****John****Kaye****of****Caius**(1510**-**1572)**in****England**,**carried****on****the****work**.**LEONHARD****HUTTER**(1563**-**1616),**German****Lutheran****theologian**,**was****born****at****Nellingen****near****Ulm****in****January**1563.**These****equations****were****found****by****d'Alembert****from****two****principles**-**that****a****rectangular****canal**,**taken****in****a****mass****of****fluid****in****equilibrium**,**is****itself****in****equilibrium**,**and****that****a****portion****of****the****fluid**,**in****passing****from****one****place****to****another**,**preserves****the****same****volume****when****the****fluid****is****incompressible**,**or****dilates****itself****according****to****a****given****law****when****the****fluid****is****elastic**.**His****ingenious****method**,**published****in**1752,**in****his****Essai****sur****la****resistance****des****fluides**,**was****brought****to****perfection****in****his****Opuscules****mathematiques**,**and****was****adopted****by****Leonhard****Euler**.**Two****methods****are****employed****in****hydrodynamics**,**called****the****Eulerian****and****Lagrangian**,**although****both****are****due****originally****to****Leonhard****Euler**.**A****rigorous****demonstration****was****wanting****for****many****years**,**Leonhard****Euler'****s****proof****for****negative****and****fractional****values****being****faulty**,**and****was****finally****given****by****Niels****Heinrik****Abel**.**He****was****as****keen****in****his****resentments****as****he****was****ardent****in****his****friendships**;**fondly****attached****to****his****family**,**he****yet****disliked****a****deserving****son**;**he****gave****full****praise****to****Leibnitz****and****Leonhard****Euler**,**yet****was****blind****to****the****excellence****of****Sir****Isaac****Newton**.**With****a****success****equalled****only****by****Leonhard****Euler**,**Daniel****Bernoulli****gained****or****shared****no****less****than****ten****prizes****of****the****Academy****of****Sciences****of****Paris**.**In**1774**he****published****a****French****translation****of****Leonhard****Euler'****s****Elements****of****Algebra**.**SADI****NICOLAS****LEONHARD****CARNOT**(1796**-**1832),**French****physicist**,**elder****son****of****L**.**His****memoir**(1775)**on****the****rotatory****motion****of****a****body****contains**(**as****the****author****was****aware**)**conclusions****at****variance****with****those****arrived****at****by****Jean****le****Rond**,**d'Alembert****and****Leonhard****Euler****in****their****researches****on****the****same****subject**.**JOHANN****LEONHARD****HUG**(1765**-**1846),**German****Romarr****Catholic****theologian**,**was****born****at****Constance****on****the**1st**of****June**1765.**Leonhard****Fuchs**>>**He****was****followed****by****other****writers**, -**Leonhard****Fuchs**,**whose****Historia****Stirpium**(**Basel**, 1542)**is****worthy****of****special****note****for****its****excellent****woodcuts**;**Hieronymus****Bock**,**whose****Kreutter****Buch****appeared****in**1539;**and****William****Turner**, "**The****Father****of****English****Botany**,"**the****first****part****of****whose****New****Herbal**,**printed****in****English**,**was****issued****in**1551.**In**1764**Leonhard****Euler****employed****the****functions****of****both****zero****and****integral****orders****in****an****analysis****into****the****vibrations****of****a****stretched****membrane**;**an****investigation****which****has****been****considerably****developed****by****Lord****Rayleigh**,**who****has****also****shown**(1878)**that****Bessel'****s****functions****are****particular****cases****of****Laplace'****s****functions**.- "
**The****main****results**,"**says****Leonhard****Schmitz**, "**arrived****at****by****the****inquiries****of****Niebuhr**,**such****as****his****views****of****the****ancient****population****of****Rome**,**the****origin****of****the****plebs**,**the****relation****between****the****patricians****and****plebeians**,**the****real****nature****of****the****ager****publicus**,**and****many****other****points****of****interest**,**have****been****acknowledged****by****all****his****successors**." **Walter**(1827),**but****was****immediately****superseded****by****the****translation****of****the****second****edition****by****Julius****Hare****and****Connop****Thirwall**,**completed****by****William****Smith****and****Leonhard****Schmitz**(**last****edition**, 1847**-**1851).**Leonhard****Euler****took****up****the****subject****several****times****during****his****life**,**effecting****mainly****improvements****in****the****theory****of****the****various****series**.**On****the****death****of****Count****Leonhard**(12th**April**1500)**the****fief****reverted****to****the****house****of****Habsburg**.**Leonhard****Euler**,**in****his****paper****on****curvature****in****the****Berlin****Memoirs****for**1760,**had****considered**,**not****the****normals****of****the****surface**,**but****the****normals****of****the****plane****sections****through****a****particular****normal**,**so****that****the****question****of****the****intersection****of****successive****normals****of****the****surface****had****never****presented****itself****to****him**.**The****earliest****known****descriptions****of****the****foxglove****are****those****given****by****Leonhard****Fuchs****and****Tragus****about****the****middle****of****the**16th**century**,**but****its****virtues****were****doubtless****known****to****herbalists****at****a****much****remoter****period**.**Leonhard****Euler****in**1747**had****suggested****that****achromatism****might****be****obtained****by****the****combination****of****glass****and****water****lenses**.**He****entrusted****the****business****to****Leonhard****Koppe****of****Torgau**,**and****the****rescue****was****safely****carried****out**(4th**of****April**1523).**The****German****botanist**,**Leonhard****Rauwolf**(**d**.**John****Dollond**,**to****whom****the****Copley****medal****of****the****Royal****Society****had****been****the****first****inventor****of****the****achromatic****telescope**;**but****it****was****ruled****by****Lord****Mansfield****that**"**it****was****not****the****person****who****locked****his****invention****in****his****scrutoire****that****ought****to****profit****for****such****invention**,**but****he****who****brought****it****forth****for****the****benefit****of****mankind**."3**In**1747**Leonhard****Euler****communicated****to****the****Berlin****Academy****of****Sciences****a****memoir****in****which****he****endeavoured****to****prove****the****possibility****of****correcting****both****the****chromatic****and**.**James****Gregory****and****Leonhard****Euler****arrived****at****the****correct****view****from****a****false****conception****of****the****achromatism****of****the****eye**;**this****was****determined****by****Chester****More****Hall****in**1728,**Klingenstierna****in**1754**and****by****Dollond****in**1757,**who****constructed****the****celebrated****achromatic****telescopes**.**Leonhard****Euler**(**Acta****Petrop**. 1784)**showed****that****the****same****hypocycloid****can****be****generated****by****circles****having****radii****of**; (**a**+**b**)**rolling****on****a****circle****of****radius****a**;**and****also****that****the****hypocycloid****formed****when****the****radius****of****the****rolling****circle****is****greater****than****that****of****the****fixed****circle****is****the****same****as****the****epicycloid****formed****by****the****rolling****of****a****circle****whose****radius****is****the****difference****of****the****original****radii**.**Archbishop****Leonhard****II**.,**who****expelled****the****Jews****from****Salzburg****in**1498,**had****to****face****a****conspiracy****of****the****nobles****and****was****besieged****in****Hohen-Shlzburg****by****the****inhabitants****in**151i.**Competent****judges****have****compared****him****to****Leonhard****Euler****for****his****range**,**analytical****power****and****introduction****of****new****and****fertile****theories**.**The****problem****set****was**"**to****perfect****in****one****important****point****the****theory****of****the****movement****of****a****solid****body****round****an****immovable****point**,"**and****her****solution****added****a****result****of****the****highest****interest****to****those****transmitted****to****us****by****Leonhard****Euler****and****J**.**Sadi****Nicolas****Leonhard****Carnot**>>