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 83
... Say the Thing is done . For , ( a ) Per 5.1.4 . Let the Chord of the Second Circle be drawn thro ' ei- ther of the Interfections of the Circles , as G , and thro ' A the Centre of the first Circle , to wit , GAF ; Let alfo the Diameter ...
... Say the Thing is done . For , ( a ) Per 5.1.4 . Let the Chord of the Second Circle be drawn thro ' ei- ther of the Interfections of the Circles , as G , and thro ' A the Centre of the first Circle , to wit , GAF ; Let alfo the Diameter ...
Seite 100
... say concerning Staticks , which are converfant about the Weights of Bodies . To comprehend the whole Matter in few Words ; If you take away the Doctrine of Pro- portion from the Mathematicks , you will leave almost nothing which is ...
... say concerning Staticks , which are converfant about the Weights of Bodies . To comprehend the whole Matter in few Words ; If you take away the Doctrine of Pro- portion from the Mathematicks , you will leave almost nothing which is ...
Seite 105
... say that ( a ) is to ( b ) in a Proportion which is one and a half of that which A is in to B. For let F be a middle Proportional betwixt B and C : Or , which is the fame thing , betwixt A and D. Be- caufe of the Equality of the ...
... say that ( a ) is to ( b ) in a Proportion which is one and a half of that which A is in to B. For let F be a middle Proportional betwixt B and C : Or , which is the fame thing , betwixt A and D. Be- caufe of the Equality of the ...
Seite 118
... say that A B is to BC , as BC to CL . For A B AF ( c ) :: BC : CL . But AF ( d ) is equal to BC . Therefore AB : BC :: BC : CL ; and fo CL ; is the third Proportional fought . : Otherwife , Fig . 17. ETAB and BC be fet at a right Angle ...
... say that A B is to BC , as BC to CL . For A B AF ( c ) :: BC : CL . But AF ( d ) is equal to BC . Therefore AB : BC :: BC : CL ; and fo CL ; is the third Proportional fought . : Otherwife , Fig . 17. ETAB and BC be fet at a right Angle ...
Seite 211
... Say that the Rectangle contain'd under the Diameter AE , and the Subtenfe E B , is equal to the Rectangle of one Side of the infcrib'd Figure AB , or BC , & c . and of all the joining Lines BH , CG , DF , taken together . Draw CH , DG ...
... Say that the Rectangle contain'd under the Diameter AE , and the Subtenfe E B , is equal to the Rectangle of one Side of the infcrib'd Figure AB , or BC , & c . and of all the joining Lines BH , CG , DF , taken together . Draw CH , DG ...
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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...