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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Resultat 1-5 av 33
Side 49
... Segments ( A C ) is equal to two Rectangles contained under the whole ( AB ) , and that Segment ( AC ) , together with the Square of the other Segment ( CB ) . E [ For Fig.23 . Fig . 8 . Fig . 24 . Lib . II . EUCLID'S Elements . 49.
... Segments ( A C ) is equal to two Rectangles contained under the whole ( AB ) , and that Segment ( AC ) , together with the Square of the other Segment ( CB ) . E [ For Fig.23 . Fig . 8 . Fig . 24 . Lib . II . EUCLID'S Elements . 49.
Side 57
... Segments or Portions of a Circle are the Parts into Fig . 37 . which the right Line ( CE ) which cuts the Circle ... Segment , ( B , C ) . 7. The Angle ( CQB ) is faid to ftand upon the Cir- Fig . 33 . cumference ( BOC ) , as being ...
... Segments or Portions of a Circle are the Parts into Fig . 37 . which the right Line ( CE ) which cuts the Circle ... Segment , ( B , C ) . 7. The Angle ( CQB ) is faid to ftand upon the Cir- Fig . 33 . cumference ( BOC ) , as being ...
Side 71
... Segment . ( BQS C ) are all equal among themselves . ༢ Let firft the Segment BQSC be greater than a Se- micircle . From the Centre A draw A B , AC . By the foregoing the Angle BAC at the Centre is double of each BQC , BFC . Therefore ...
... Segment . ( BQS C ) are all equal among themselves . ༢ Let firft the Segment BQSC be greater than a Se- micircle . From the Centre A draw A B , AC . By the foregoing the Angle BAC at the Centre is double of each BQC , BFC . Therefore ...
Side 72
... Segment BQC be equal to or lefs than a Semicircle . In the Triangles BQI , CFI , because the Angles vertically oppofite at I are equal ( a ) , the Per 15. Sum of the reft , Q and R , will be equal to the Sum of ( b ) Per Coroll , the ...
... Segment BQC be equal to or lefs than a Semicircle . In the Triangles BQI , CFI , because the Angles vertically oppofite at I are equal ( a ) , the Per 15. Sum of the reft , Q and R , will be equal to the Sum of ( b ) Per Coroll , the ...
Side 75
... Segment greater than a Semicircle , is lefs than a right one ; that in a Segment less than a Semicircle , is greater than a right one . Part 1. From the Centre A draw A C. Because A B and AC are equal , the Angles O and B are equal ( a ) ...
... Segment greater than a Semicircle , is lefs than a right one ; that in a Segment less than a Semicircle , is greater than a right one . Part 1. From the Centre A draw A C. Because A B and AC are equal , the Angles O and B are equal ( a ) ...
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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...