## Sentence Examples

**The****De****Institutione****Arithmetica**,**De****Institutione****Musica**,**and****the****doubtful****Geometria**(**for****which****see****G**.**In**1709**he****entered****the****university****of****Glasgow**,**where****he****exhibited****a****decided****genius****for****mathematics**,**more****especially****for****geometry**;**it****is****said****that****before****the****end****of****his****sixteenth****year****he****had****discovered****many****of****the****theorems****afterwards****published****in****his****Geometria****organica**.**In**1719**he****published****his****Geometria****organica**,**sive****descriptio****linearum****curvarum****universalis**.**In**1721**he****wrote****a****supplement****to****the****Geometria****organica**,**which****he****afterwards****published**,**with****extensions**,**in****the****Philosophical****Transactions****for**1735.**LORENZO****MASCHERONI**(1750**-**1800),**Italian****geometer**,**was****professor****of****mathematics****at****the****university****of****Pavia**,**and****published****a****variety****of****mathematical****works**,**the****best****known****of****which****is****his****Geometria****del****compasso**(**Pavia**, 1797),**a****collection****of****geometrical****constructions****in****which****the****use****of****the****circle****alone****is****postulated**.**This****was****Lucas****Paciolus**(**Lucas****de****Burgo**),**a****Minorite****friar**,**who**,**having****previously****written****works****on****algebra**,**arithmetic****and****geometry**,**published**,**in**1494,**his****principal****work**,**entitled****Summa****de****Arithmetica**,**Geometria**,**Proportioni****et****Proportionalita**.**In****his****famous****Geometria**(1637),**which****is****really****a****treatise****on****the****algebraic****representation****of****geometric****theorems**,**he****founded****the****modern****theory****of****analytical****geometry**(**see****Geometry**),**and****at****the****same****time****he****rendered****signal****service****to****algebra**,**more****especially****in****the****theory****of****equations**.**The****geometrical****treatises****which****have****survived**(**though****not****interpolated**)**in****Greek****are****entitled****respectively****Definitiones**,**Geometria**,**Geodaesia**,**Stereometrica**(**i**.**It****appears****that****Pascal****contemplated****publishing****a****treatise****De****aleae****geometria**;**but****all****that****actually****appeared****was****a****fragment****on****the****arithmetical****triangle**(**Traite****du****triangle****arithmetique**, "**Properties****of****the****Figurate****Numbers**"),**printed****in**1654,**but****not****published****till**1665,**after****his****death**.**He****wrote****also****De****Geometria****speculativa**(**Paris**, 1530);**De****Arithmetica****practica**(**Paris**, 1502);**De****Proportionibus**(**Paris**, 1495;**Venice**, 1505);**De****Quadratura****Circuli**(**Paris**, 1 495);**and****an****Ars****Memorativa**,**Sloane****MSS**.**The****ubi****materia****ibi****geometria****of****the****one****is****the****battle-cry****of****the****mathematico-physical****advance**.**His****Problemas****de****geometria****analitica**(1865)**and****Teorias****modernas****de****la****fisica****unidad****de****las****fuerzas****materiales**(1867)**are****said****to****be****esteemed****by****competent****judges**.