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 6
... double , or treble , or quadruple of the fame , are equal amongst themselves . 7. What things do mutually agree with one another , are equal . 8. If right Lines be equal , they will mutually agree with one another ; and the fame thing ...
... double , or treble , or quadruple of the fame , are equal amongst themselves . 7. What things do mutually agree with one another , are equal . 8. If right Lines be equal , they will mutually agree with one another ; and the fame thing ...
Página 28
... Right - lin'd Figures of the fame Species , or Number of Sides and Angles , have the Sum of their Angles equal . Which thing is worthy of Admiration . The The Practice is thus ; Double the Denominator of the 28 Lib . I. EUCLID'S Elements .
... Right - lin'd Figures of the fame Species , or Number of Sides and Angles , have the Sum of their Angles equal . Which thing is worthy of Admiration . The The Practice is thus ; Double the Denominator of the 28 Lib . I. EUCLID'S Elements .
Página 29
... Double the Denominator of the Figure ; and from the Product take away four ; the Re- mainder is the Number of the right Angles , which the internal Angles of the Figure do make . ALL Theorem 3 . L the external Angles of any right - lin ...
... Double the Denominator of the Figure ; and from the Product take away four ; the Re- mainder is the Number of the right Angles , which the internal Angles of the Figure do make . ALL Theorem 3 . L the external Angles of any right - lin ...
Página 36
... double to the fame Triangle AC F. Corollary . THE Triangle ACB being given , a Rectangle equal to it is had , if there be drawn a Line parallel to the Side A B , and A B being bifected in F , the Perpendicu- lar BQ be erected . For the ...
... double to the fame Triangle AC F. Corollary . THE Triangle ACB being given , a Rectangle equal to it is had , if there be drawn a Line parallel to the Side A B , and A B being bifected in F , the Perpendicu- lar BQ be erected . For the ...
Página 40
... , ZAFE , as being Doubles of Equals are equal betwixt themselves . By the fame reafoning if right Lines AX , BR were drawn , it might be fhewn Į that that the Parallelograms EC , BX are equal . There- 40 Lib . 1 . EUCLID'S Elements .
... , ZAFE , as being Doubles of Equals are equal betwixt themselves . By the fame reafoning if right Lines AX , BR were drawn , it might be fhewn Į that that the Parallelograms EC , BX are equal . There- 40 Lib . 1 . EUCLID'S Elements .
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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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Página 211 - Side next to the Diameter : and let the right Lines BH, CG, DF, join the Angles which are equally diftant from A. I fay that the...
Página 221 - Axis, is alfo given j it is manifeft that each of the Segments become known. Now both the foregoing, and all the reft of the Theorems which follow...