The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 Seiten |
Im Buch
Ergebnisse 1-5 von 32
Seite 1
... divided fo much as in Thought . A Point is the be- ginning , as it were , of all Magnitude , as Unity is of Number . 2. A Line is a Magnitude which hath Length only , and wants all Breadth ; forafmuch as it is understood to be produced ...
... divided fo much as in Thought . A Point is the be- ginning , as it were , of all Magnitude , as Unity is of Number . 2. A Line is a Magnitude which hath Length only , and wants all Breadth ; forafmuch as it is understood to be produced ...
Seite 12
... divided into 4 , 8 , 16 , & c . equal Angles , viz . by bifecting each Part again . No 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 ...
... divided into 4 , 8 , 16 , & c . equal Angles , viz . by bifecting each Part again . No 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 ...
Seite 19
... divided into 180 Degrees , mea- fures two right Angles , and the whole Circumference , which is divided into 360 Degrees , measures four right Angles ; two right Angles fhall be faid to make 180 De- grees , and four , 360 Degrees ...
... divided into 180 Degrees , mea- fures two right Angles , and the whole Circumference , which is divided into 360 Degrees , measures four right Angles ; two right Angles fhall be faid to make 180 De- grees , and four , 360 Degrees ...
Seite 20
... divided into 180 Degrees . For put the Centre of the Semicircle upon P the Top of the Angle , and the Radius of the Semicircle PL upon the Side of the Angle P Q ; and the Arch LO which is intercepted betwixt the Legs of the Angle will ...
... divided into 180 Degrees . For put the Centre of the Semicircle upon P the Top of the Angle , and the Radius of the Semicircle PL upon the Side of the Angle P Q ; and the Arch LO which is intercepted betwixt the Legs of the Angle will ...
Seite 27
... divided in - Fig . 54 . to three equal Parts ; if upon A C be made the equilate- ral Triangle Z ; for feeing FA C is two thirds of one right one , BAF fhall be one third of a right one . 14. The Perpendicular A F is the fhorteft of all ...
... divided in - Fig . 54 . to three equal Parts ; if upon A C be made the equilate- ral Triangle Z ; for feeing FA C is two thirds of one right one , BAF fhall be one third of a right one . 14. The Perpendicular A F is the fhorteft of all ...
Andere Ausgaben - Alle anzeigen
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...