The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 σελίδες |
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Σελίδα 4
... but not equiangled . 34. A Rhomboides is that which hath the oppofite Sides and Angles equal , but is neither Equilateral , nor Equiangled . 16 , 17 . 35. A Parallelogram is a quadrilateral 35. A EUCLID'S Elements . Lib . I.
... but not equiangled . 34. A Rhomboides is that which hath the oppofite Sides and Angles equal , but is neither Equilateral , nor Equiangled . 16 , 17 . 35. A Parallelogram is a quadrilateral 35. A EUCLID'S Elements . Lib . I.
Σελίδα 5
... Parallelogram ; but every Parallelogram is not a Rectangle or a Square . 36. Right Lines are Parallel or Equi - diftant , which Fig . 18 . being in the fame Plane , and drawn out on both Sides infinitely , are diftant from one another ...
... Parallelogram ; but every Parallelogram is not a Rectangle or a Square . 36. Right Lines are Parallel or Equi - diftant , which Fig . 18 . being in the fame Plane , and drawn out on both Sides infinitely , are diftant from one another ...
Σελίδα 24
... Parallelogram.- PROP . XXX . Theorem . F two right Lines ( AB , C F ) be parallel to the themselves . It is manifeft in it felf , and from the foregoing Propo- fitions . For if all be cut by the right Line GO , the external Angle G LB ...
... Parallelogram.- PROP . XXX . Theorem . F two right Lines ( AB , C F ) be parallel to the themselves . It is manifeft in it felf , and from the foregoing Propo- fitions . For if all be cut by the right Line GO , the external Angle G LB ...
Σελίδα 30
... Parallelogram the oppofite Sides and An- gles are equal , and it is cut into two equal Parts by the Diameter . ( a ) Per Def . 35 . ( b ) Per 27 . 1. 1 . ( e ) Per Def . 35 . ( d ) Per 27 Because A B , C F are ( a ) parallel , and A F ...
... Parallelogram the oppofite Sides and An- gles are equal , and it is cut into two equal Parts by the Diameter . ( a ) Per Def . 35 . ( b ) Per 27 . 1. 1 . ( e ) Per Def . 35 . ( d ) Per 27 Because A B , C F are ( a ) parallel , and A F ...
Σελίδα 31
... Parallelogram . For let AB CD be the Parallelogram Field : AD the Diameter or Diagonal Line of the fame , the middle Point whereof is marked F. Whatfoever right Line as EG , paffeth thro ' the Point F , it divides the Field into equal ...
... Parallelogram . For let AB CD be the Parallelogram Field : AD the Diameter or Diagonal Line of the fame , the middle Point whereof is marked F. Whatfoever right Line as EG , paffeth thro ' the Point F , it divides the Field into equal ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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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Σελίδα 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...
Σελίδα 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...