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 16
... Seeing therefore the Lines B E and FA taken together , are equal to the Line CA , and the Lines BF , FA taken together are equal to the Lines CF , FA taken together ; It is manifeft that C A , which + Perzo .. is one Side of the ...
... Seeing therefore the Lines B E and FA taken together , are equal to the Line CA , and the Lines BF , FA taken together are equal to the Lines CF , FA taken together ; It is manifeft that C A , which + Perzo .. is one Side of the ...
Σελίδα 35
... Seeing therefore in the Motion of the pri mary Planets , the Area's made by Rays , or right Lines drawn from them unto the Sun , are always propor tional to the Times , as all Aftronomers know , the Pla- nets are urged by a perpetual ...
... Seeing therefore in the Motion of the pri mary Planets , the Area's made by Rays , or right Lines drawn from them unto the Sun , are always propor tional to the Times , as all Aftronomers know , the Pla- nets are urged by a perpetual ...
Σελίδα 60
... Seeing therefore the Squares of AC , AF are equal , the Squares of A O , OC together will be alfo equal to the Squares of A O , OF together . Wherefore taking away the common Square AO , the Squares of O , OF remain equal . And ...
... Seeing therefore the Squares of AC , AF are equal , the Squares of A O , OC together will be alfo equal to the Squares of A O , OF together . Wherefore taking away the common Square AO , the Squares of O , OF remain equal . And ...
Σελίδα 65
... drawn ( A C , A F. ) Likewife ( AO , A I ) at right Angles to BC , FL . Thus BC , FL fhall be bifected ( d ) in O and I. F See . J ( d ) Per 3.1.3 . Seeing therefore the whole Lines BC , FL are fup- Lib . III . 65 . EUCLID's Elements .
... drawn ( A C , A F. ) Likewife ( AO , A I ) at right Angles to BC , FL . Thus BC , FL fhall be bifected ( d ) in O and I. F See . J ( d ) Per 3.1.3 . Seeing therefore the whole Lines BC , FL are fup- Lib . III . 65 . EUCLID's Elements .
Σελίδα 66
With Select Theorems Out of Archimedes Euclid, André Tacquet. Seeing therefore the whole Lines BC , FL are fup- pofed equal , the halves alfo OC , IF must be equal ; and confequently the Squares of them are alfo equal . Seeing therefore ...
With Select Theorems Out of Archimedes Euclid, André Tacquet. Seeing therefore the whole Lines BC , FL are fup- pofed equal , the halves alfo OC , IF must be equal ; and confequently the Squares of them are alfo equal . Seeing therefore ...
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 11 - Because the angle A is equal to the angle C, and the angle...
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Σελίδα xix - How great a Geometrician art thou, O Lord! For while this Science has no Bounds, while there is for ever room for the Discovery of New Theorems, even by Human Faculties; Thou art acquainted with them all at one View, without any Chain of Consequences, without any Fatigue of Demonstrations.
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...