The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 Seiten |
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Seite 9
... been proved equal to AFC , is the Angle of the Reflexion of the Ball A , and that the Ball tending towards E is in the Point F fo re- flected as to hit the Ball B. QE , D. * Scholium Fig.25 . ( 2 ) Per Axi . 8 . Lib . I. EUCLID'S Elements .
... been proved equal to AFC , is the Angle of the Reflexion of the Ball A , and that the Ball tending towards E is in the Point F fo re- flected as to hit the Ball B. QE , D. * Scholium Fig.25 . ( 2 ) Per Axi . 8 . Lib . I. EUCLID'S Elements .
Seite 10
... Scholium or Obfervation . BY Y much the fame way of Reasoning whereby this 4th Propofition has been demonftrated , the follow- ing Theorem , which we fhall have occafion to ufe by and by , may be demonftrated alfo . If in Two Triangles ...
... Scholium or Obfervation . BY Y much the fame way of Reasoning whereby this 4th Propofition has been demonftrated , the follow- ing Theorem , which we fhall have occafion to ufe by and by , may be demonftrated alfo . If in Two Triangles ...
Seite 12
... Scholium , one hath hitherto taught the way of dividing An- gles into all equal Parts whatsoever with a Pair of Compaffes , and a Rule . Yet may you divide any given Angle mechanically into any equal Parts whatfoever , if from the Top ...
... Scholium , one hath hitherto taught the way of dividing An- gles into all equal Parts whatsoever with a Pair of Compaffes , and a Rule . Yet may you divide any given Angle mechanically into any equal Parts whatfoever , if from the Top ...
Seite 19
... Scholium . I7 T seems meet for the Sake of beginners to propound fome things here which are neceffary for Practice a- bout Angles . The Measure of an Angle is the Arch of a Circle , Fig . 41 . which is described from A , the Top of the ...
... Scholium . I7 T seems meet for the Sake of beginners to propound fome things here which are neceffary for Practice a- bout Angles . The Measure of an Angle is the Arch of a Circle , Fig . 41 . which is described from A , the Top of the ...
Seite 21
... Scholium of Propofition 4 . Again , fuppofe the Sides A C , LI which are op- pofed to the equal Angles to be equal . Here because the Angles ( B , C ) are by the Hypothefis equal to ( F , I ) the other Angles , alfo ( A , L ) fhall be ...
... Scholium of Propofition 4 . Again , fuppofe the Sides A C , LI which are op- pofed to the equal Angles to be equal . Here because the Angles ( B , C ) are by the Hypothefis equal to ( F , I ) the other Angles , alfo ( A , L ) fhall be ...
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The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Keine Leseprobe verfügbar - 2015 |
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite xviii - Difcovery of Divine Truth : And of the Degree of Evidence that , ought to be expected in Divine Matters, 8vo.
Seite 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.
Seite 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.
Seite 11 - Because the angle A is equal to the angle C, and the angle...
Seite xviii - Bodies contained in the fame Syftem. VI.' Important Principles of NATURAL RELIGION Demonftrated from the foregoing Obfervations.
Seite 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.
Seite 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...
Seite 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...