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 sider |
Inni boken
Resultat 1-5 av 66
Side 10
... thereof , equal between themselves , each of thefe equal Angles is a Right one , and that Right Line which stands upon the other , is call'd a Perpendicular to that whereon it stands . XI . An Obtufe Angle , is that which is greater ...
... thereof , equal between themselves , each of thefe equal Angles is a Right one , and that Right Line which stands upon the other , is call'd a Perpendicular to that whereon it stands . XI . An Obtufe Angle , is that which is greater ...
Side 10
... thereof , both together , less than two Right Angles , thofe two Right Lines , infinitely produc'd , will meet each other on that Side where the Angles are less than Right ones . Note , When there are feveral Angles at one Point , any ...
... thereof , both together , less than two Right Angles , thofe two Right Lines , infinitely produc'd , will meet each other on that Side where the Angles are less than Right ones . Note , When there are feveral Angles at one Point , any ...
Side 39
... thereof , the Triangle ABD is equal * 34 of this to the Triangle BDC . Again , becaufe HK FD is a Parallelogram , whofe Diameter is DK , the Trian- gle HDK fhall be equal to the Triangle DFK ; and for the fame Reason the Triangle KBG is ...
... thereof , the Triangle ABD is equal * 34 of this to the Triangle BDC . Again , becaufe HK FD is a Parallelogram , whofe Diameter is DK , the Trian- gle HDK fhall be equal to the Triangle DFK ; and for the fame Reason the Triangle KBG is ...
Side 43
... thereof , make the adjacent Angles equal to two Right Angles . Therefore CA , AG , make ‡ one ftraight 14 of this . Line ; by the fame Reafon AB , AH , make one straight Line . And fince the Angle DBC is equal to the Angle FBA , for ...
... thereof , make the adjacent Angles equal to two Right Angles . Therefore CA , AG , make ‡ one ftraight 14 of this . Line ; by the fame Reafon AB , AH , make one straight Line . And fince the Angle DBC is equal to the Angle FBA , for ...
Side 48
... thereof , together with twice the Rettangle contained under the Segments . LI ET the Right Line AB be any how cut in C. I fay , the Square made on A B is equal to the Squares of AC , CB , together , with twice the Rect- angle contained ...
... thereof , together with twice the Rettangle contained under the Segments . LI ET the Right Line AB be any how cut in C. I fay , the Square made on A B is equal to the Squares of AC , CB , together , with twice the Rect- angle contained ...
Andre utgaver - Vis alle
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Ingen forhåndsvisning tilgjengelig - 2014 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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...
Side 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.
Side 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...
Side 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.
Side 15 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...
Side 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.
Side 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.