The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 sider |
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Side 16
... use of till . Fig . 38 . IN PROP . XVIII . Theorem . N every Triangle the Angle ( A ) which is opposed to the greater Side ( BO ) is the greater ; and that ( B ) which is oppofite to the leffer Side ( A O ) is the leffer Angle . ( A ) ...
... use of till . Fig . 38 . IN PROP . XVIII . Theorem . N every Triangle the Angle ( A ) which is opposed to the greater Side ( BO ) is the greater ; and that ( B ) which is oppofite to the leffer Side ( A O ) is the leffer Angle . ( A ) ...
Side 38
... use of Geometrical Construction , which requires only a Rule and a pair of Compaffes , than of Arithmetical Computa tion , which is performed by Number . UPO PROP . XLV . Problem . PON a given Line ( IQ ) and in a given Angle ( H ) to ...
... use of Geometrical Construction , which requires only a Rule and a pair of Compaffes , than of Arithmetical Computa tion , which is performed by Number . UPO PROP . XLV . Problem . PON a given Line ( IQ ) and in a given Angle ( H ) to ...
Side 84
... Use of Polygons infcrib'd in Circles , that more than all other Sciences it may seem to be wholly owing to this Book . ] 1 . DEFINITIONS . A Rectilinear Figure is faid to be infcrib'd in a Cir- cle , or to have a Circle circumfcrib'd ...
... Use of Polygons infcrib'd in Circles , that more than all other Sciences it may seem to be wholly owing to this Book . ] 1 . DEFINITIONS . A Rectilinear Figure is faid to be infcrib'd in a Cir- cle , or to have a Circle circumfcrib'd ...
Side 102
... use of this moft easy Method of ftating the Equality of Proportions , for the Illuftrating of this Fifth Book about the Doctrine of Proportions . Take therefore the primary Ways which Geometry makes ufe of , in reafoning concerning like ...
... use of this moft easy Method of ftating the Equality of Proportions , for the Illuftrating of this Fifth Book about the Doctrine of Proportions . Take therefore the primary Ways which Geometry makes ufe of , in reafoning concerning like ...
Side 103
... Use upon Occafion , will feldom ftand in need of the particular Propofitions of the Fifth Book . Only two of them , which yet are almost Axioms , may not improperly be inferted and illuftrated by Exam- ples , in way of Appendix ...
... Use upon Occafion , will feldom ftand in need of the particular Propofitions of the Fifth Book . Only two of them , which yet are almost Axioms , may not improperly be inferted and illuftrated by Exam- ples , in way of Appendix ...
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The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side xviii - Difcovery of Divine Truth : And of the Degree of Evidence that , ought to be expected in Divine Matters, 8vo.
Side 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.
Side 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.
Side 11 - Because the angle A is equal to the angle C, and the angle...
Side xviii - Bodies contained in the fame Syftem. VI.' Important Principles of NATURAL RELIGION Demonftrated from the foregoing Obfervations.
Side 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.
Side 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...
Side 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...