Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To which is Added, A Treatise of the Nature of Arithmetic of Logarithms; Likewise Another of the Elements of Plain and Spherical Trigonometry; with a Preface...Tho. Woodward at the Half-Moon, between the Two Temple-Gates in Fleet-street; and sold by, 1733 - 397 Seiten |
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Seite 3
... common to all Modern Writers of Elements , who all Split on the fame Rock ; and to fhew their Skill , blame Euclid , for what , on the contrary , he ought to be commended ; I mean the Definition of Proportional Quantities , wherein he ...
... common to all Modern Writers of Elements , who all Split on the fame Rock ; and to fhew their Skill , blame Euclid , for what , on the contrary , he ought to be commended ; I mean the Definition of Proportional Quantities , wherein he ...
Seite 9
... common Solution of the 12th Cafe of Oblique Sphericks is falfe , I have de- monftrated , and given a true one . See Page 319 . * Vide Page 55 , 107 , of Euclid's Works , published by Dr. Gregory . In In the Solution of our 9th and 10th ...
... common Solution of the 12th Cafe of Oblique Sphericks is falfe , I have de- monftrated , and given a true one . See Page 319 . * Vide Page 55 , 107 , of Euclid's Works , published by Dr. Gregory . In In the Solution of our 9th and 10th ...
Seite 10
... common Bafe BC . There¬ fore alfo the Triangle BFC will be equal to the Triangle CG B , and the remaining Angles of the one Ax . 3 . 2 . equal equal to the remaining Angles of the other , each 8 Book I. Euclid's ELEMENTS .
... common Bafe BC . There¬ fore alfo the Triangle BFC will be equal to the Triangle CG B , and the remaining Angles of the one Ax . 3 . 2 . equal equal to the remaining Angles of the other , each 8 Book I. Euclid's ELEMENTS .
Seite 10
... common , DB , BC , will be equal to AC , CB , each to each , and the Angle DBC equal to the Angle ACB , from the Hypothefis ; therefore the Base DC is equal to the Base A B , and ‡ 4 of this . the Triangle DBC equal to the Triangle A CB ...
... common , DB , BC , will be equal to AC , CB , each to each , and the Angle DBC equal to the Angle ACB , from the Hypothefis ; therefore the Base DC is equal to the Base A B , and ‡ 4 of this . the Triangle DBC equal to the Triangle A CB ...
Seite 12
... common ; and the two Angles CBE , EBD , together , are equal to the three Angles CBA , ABE , EBD , together . Again , because the Angle DBA is equal to the two Angles DBE , EBA , together , add the common Angle ABC , and the two Angles ...
... common ; and the two Angles CBE , EBD , together , are equal to the three Angles CBA , ABE , EBD , together . Again , because the Angle DBA is equal to the two Angles DBE , EBA , together , add the common Angle ABC , and the two Angles ...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Keine Leseprobe verfügbar - 2014 |
Häufige Begriffe und Wortgruppen
adjacent Angles alfo equal alſo Angle ABC Angle BAC Bafe Baſe becauſe bifected Center Circle ABCD Circumference Cofine Cone confequently Coroll Cylinder defcribed demonftrated Diameter Diſtance drawn thro EFGH equal Angles equiangular Equimultiples faid fame Altitude fame Multiple fame Plane fame Proportion fame Reaſon fecond fhall be equal fimilar fince firft firſt folid Parallelepipedon fome fore ftand fubtending given Right Line Gnomon greater join leffer lefs leſs likewife Logarithm Magnitudes Meaſure Number Parallelogram perpendicular Polygon Priſms Prop PROPOSITION Pyramid Pyramid ABCG Quadrant Ratio Rectangle Rectangle contained remaining Angle Right Angles Right Line AC Right-lined Figure Segment ſhall Sine Solid Sphere Subtangent themſelves THEOREM theſe thofe thoſe Triangle ABC Unity Vertex the Point Wherefore whofe Bafe whole whoſe Baſe
Beliebte Passagen
Seite 66 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Seite 163 - IF two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals : the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides.
Seite 112 - And in like manner it may be shown that each of the angles KHG, HGM, GML is equal to the angle HKL or KLM ; therefore the five angles GHK, HKL, KLM, LMG, MGH...
Seite 90 - IN a circle, the angle in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Seite 22 - ... sides equal to them of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. AB...
Seite 10 - ... equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. AB equal to DE, and AC to DF ; but the base CB greater than the base EF ; the angle BAC is likewise greater than the angle EDF.
Seite 15 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...
Seite 33 - ... therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i.
Seite 113 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.