The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 páginas |
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Página 5
... parallel to each other . Now what parallel Lines are , will be fhewed in the following Definition . Every Rectangle and Square is a Parallelogram ; but every Parallelogram is not a Rectangle or a Square . 36. Right Lines are Parallel or ...
... parallel to each other . Now what parallel Lines are , will be fhewed in the following Definition . Every Rectangle and Square is a Parallelogram ; but every Parallelogram is not a Rectangle or a Square . 36. Right Lines are Parallel or ...
Página 6
... Parallel Lines have a common Perpendicular : That is , the right Line which is perpendicular to one of them , is perpendicular alfo to the other . 12. The two perpendicular Lines ( LO , QI ) inter- cept equal Parts of the Parallels . 13 ...
... Parallel Lines have a common Perpendicular : That is , the right Line which is perpendicular to one of them , is perpendicular alfo to the other . 12. The two perpendicular Lines ( LO , QI ) inter- cept equal Parts of the Parallels . 13 ...
Página 21
... parallel ( A B , CF ) ; 1. The alternate Angles RLO , QO L , likewife B LO , COL ) fhall be equal . 2. The external Angle GL B fhall be equal to the inter- nal one on the fame Side ( that is , to LOF ) as likewife C 3 I GLR Fig . 45 ...
... parallel ( A B , CF ) ; 1. The alternate Angles RLO , QO L , likewife B LO , COL ) fhall be equal . 2. The external Angle GL B fhall be equal to the inter- nal one on the fame Side ( that is , to LOF ) as likewife C 3 I GLR Fig . 45 ...
Página 22
... Parallels , A B , C F ; and by Definition ( a ) Per Axio . 36 , equal betwixt themselves , they fhall therefore ( a ) intercept equal Parts of the Parallels , and R L fhall be equal to ... parallel to one I DF 22 Lib.I. EUCLID'S Elements .
... Parallels , A B , C F ; and by Definition ( a ) Per Axio . 36 , equal betwixt themselves , they fhall therefore ( a ) intercept equal Parts of the Parallels , and R L fhall be equal to ... parallel to one I DF 22 Lib.I. EUCLID'S Elements .
Página 23
... parallel to one another as to Senfe . DA a Ray perpendicular to the Horizon of Siene ; and EG a Ray Oblique to the ... parallel . If you deny it , let XLZ paffing thro ' the Point L be parallel to CF. Therefore XLO ( a ) is equal to ( a ) ...
... parallel to one another as to Senfe . DA a Ray perpendicular to the Horizon of Siene ; and EG a Ray Oblique to the ... parallel . If you deny it , let XLZ paffing thro ' the Point L be parallel to CF. Therefore XLO ( a ) is equal to ( a ) ...
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The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Sin vista previa disponible - 2015 |
Términos y frases comunes
alfo alfo equal alſo Altitude Arch Archimedes Axis Bafe Baſe becauſe betwixt themſelves bifected Centre Circum circumfcrib'd Circumference confequently Conftruction conical Superficies conical Surfaces contain'd Coroll Corollary Cylinder defcrib'd defcribe demonftrated Diameter double drawn thro equal Angles equilateral Cone equilateral Triangle Euclid faid fame manner fcrib'd fecond felf fhall be equal fhew fhew'd Figure firft firſt folid Angle fome fore foregoing four right ftand fuppos'd given right Line greater hath Height Hypothefis infcrib'd infcribed Interfections leffer lefs likewife Line BC manifeft Mathematicks mean Proportional betwixt Meaſure Number oppofite pafs thro parallel Parallelepiped Parallelogram Pentagon perpendicular Plane Point Polygon Prifm Priſms Proclus produc'd PROP Propofition Pyramids Radius Rectangle right Angle right Line Scholium Segment Semidiameter Solid Sphere Square thefe Theorem theſe Thing thofe unto whatſoever whofe whole Superficies
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