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 3
... Circumference ; from which Line all the right Lines that can be drawn unto one certain Point , within the contained Space ( A ) , are equal . 19. That Point is called the Center . В 2 20. The 4 Fig . 9 . Fig . 10 . Fig Lib . I. w ...
... Circumference ; from which Line all the right Lines that can be drawn unto one certain Point , within the contained Space ( A ) , are equal . 19. That Point is called the Center . В 2 20. The 4 Fig . 9 . Fig . 10 . Fig Lib . I. w ...
Σελίδα 4
... Circumference . 22. A Semi circle is a Figure ( BLC ) which is con- tain'd by the Diameter BC , and half the Circumfe- rence ( BLC . ) Mathematicians are wont to divide the Circumference into 360 equal Parts ( which they call Degrees ) ...
... Circumference . 22. A Semi circle is a Figure ( BLC ) which is con- tain'd by the Diameter BC , and half the Circumfe- rence ( BLC . ) Mathematicians are wont to divide the Circumference into 360 equal Parts ( which they call Degrees ) ...
Σελίδα 12
... Circumference of both Circles , and confequently in the Point E , the common Inter- Section of both thefe Circumferences . Q. E. D. PROP . IX . Problem . Bifect or Divide into two equal Parts a given right - lin'd Angle , as IAL . From ...
... Circumference of both Circles , and confequently in the Point E , the common Inter- Section of both thefe Circumferences . Q. E. D. PROP . IX . Problem . Bifect or Divide into two equal Parts a given right - lin'd Angle , as IAL . From ...
Σελίδα 19
... Circumference , contains 90 Degrees , and mea fures the right Angle B A F , a right Angle fhall be faid to be of 90 Degrees . In like manner , becaufe half the Circumference , which is divided into 180 Degrees , mea- fures two right ...
... Circumference , contains 90 Degrees , and mea fures the right Angle B A F , a right Angle fhall be faid to be of 90 Degrees . In like manner , becaufe half the Circumference , which is divided into 180 Degrees , mea- fures two right ...
Σελίδα 23
... Circumference , which is of 360 Degrees , is in a gross Number to 250000 , the Compass of the Earth in the fame Measure . 2. E. I. PROP . XXVIII . Theorem . IF a right Line ( GO ) cutting two right Lines ( A B , Fig . 47 . CF ) makes ...
... Circumference , which is of 360 Degrees , is in a gross Number to 250000 , the Compass of the Earth in the fame Measure . 2. E. I. PROP . XXVIII . Theorem . IF a right Line ( GO ) cutting two right Lines ( A B , Fig . 47 . CF ) makes ...
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
Δημοφιλή αποσπάσματα
Σελίδα 21 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα xviii - A Scheme of the Solar Syftem, with the orbits of the planets and comets belonging thereto, defcribed from Dr. Halley's accurate Table of Comets, Philofoph.
Σελίδα xviii - Difcovery of Divine Truth : And of the Degree of Evidence that , ought to be expected in Divine Matters, 8vo.
Σελίδα xviii - Syllem briefly demonftrated. IV. Certain Obfervations drawn from that Syftem. V. Probable Conjectures of the Nature and Ufes of the feveral celeftial Bodies contain'd in the fame Syflem.
Σελίδα xviii - DHcovery of divine Truth, and of the degree of Evidence that ought to be expected in divine Matters. By William WbiftvK, MA Ibmetime Profeffor of the Mathematicks in the Univerfity of Cambridge.
Σελίδα 11 - Because the angle A is equal to the angle C, and the angle...
Σελίδα xviii - Bodies contained in the fame Syftem. VI.' Important Principles of NATURAL RELIGION Demonftrated from the foregoing Obfervations.
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...