The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 páginas |
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Página xviii
... contained in the fame Syftem . VI . Important Principles of Natural Religion demonftrated , from the fore- going ... Containing , I. A Description of the Meteor , from the Author's own Obfervations . II . Some Hif- torical Accounts of ...
... contained in the fame Syftem . VI . Important Principles of Natural Religion demonftrated , from the fore- going ... Containing , I. A Description of the Meteor , from the Author's own Obfervations . II . Some Hif- torical Accounts of ...
Página 3
... contain a right Angle , make an Inftrument , which is called a Square . Pythago- ras was the Inventor of it , as ... contained within the Fig . 9 . Compafs of one Line called the Circumference ; from which Line all the right Lines that ...
... contain a right Angle , make an Inftrument , which is called a Square . Pythago- ras was the Inventor of it , as ... contained within the Fig . 9 . Compafs of one Line called the Circumference ; from which Line all the right Lines that ...
Página 4
... contained by Three right Lines , This is the first and most fimple of all Right - lin'd Fi- gures , and that into which they are all refolv'd . - 25. An Equilateral Triangle is that which hath all the Sides equal . 26. An Ifofceles or ...
... contained by Three right Lines , This is the first and most fimple of all Right - lin'd Fi- gures , and that into which they are all refolv'd . - 25. An Equilateral Triangle is that which hath all the Sides equal . 26. An Ifofceles or ...
Página 5
... contain'd by more Sides than Four , are called Many - fided or Many - angled , and by a Greek , Word Polygones . 39. The external Angle of a right - lin'd Figure , is Fig . 19 . that which arifeth without the Figure when the Side is ...
... contain'd by more Sides than Four , are called Many - fided or Many - angled , and by a Greek , Word Polygones . 39. The external Angle of a right - lin'd Figure , is Fig . 19 . that which arifeth without the Figure when the Side is ...
Página 13
... contained between them AGC , BGC , are likewife equal . Therefore the Bafes AC , BC ( c ) ( c ) Per 4.1.1 . are equal . The given Line therefore A B is bifected . Q. E. F. But for Practice it is fufficient from the Centers A and B to ...
... contained between them AGC , BGC , are likewife equal . Therefore the Bafes AC , BC ( c ) ( c ) Per 4.1.1 . are equal . The given Line therefore A B is bifected . Q. E. F. But for Practice it is fufficient from the Centers A and B to ...
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The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Sin vista previa disponible - 2015 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página xviii - Difcovery of Divine Truth : And of the Degree of Evidence that , ought to be expected in Divine Matters, 8vo.
Página 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.
Página 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.
Página 11 - Because the angle A is equal to the angle C, and the angle...
Página xviii - Bodies contained in the fame Syftem. VI.' Important Principles of NATURAL RELIGION Demonftrated from the foregoing Obfervations.
Página 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.
Página 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...
Página 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...