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 |
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Resultat 6-10 av 68
Side 48
... Square CDEB upon BC ; ↑ 31. 1. produce ED to F ; and let AF be drawn + thro ' A , parallel to CD or BE . * 46. I ... Square described upon B C. Wherefore the Rectangle under AB and BC is equal to the Rectangle under AC and CB , together ...
... Square CDEB upon BC ; ↑ 31. 1. produce ED to F ; and let AF be drawn + thro ' A , parallel to CD or BE . * 46. I ... Square described upon B C. Wherefore the Rectangle under AB and BC is equal to the Rectangle under AC and CB , together ...
Side 49
... Square de- fcribed upon BC . For the fame Reafon HF is allo a Square made upon HG , that is equal to the Square of AC . Wherefore HF and CK are the Squares of AC and CB . And because the Rectangle AG is * equal to the Rectangle GE , and ...
... Square de- fcribed upon BC . For the fame Reafon HF is allo a Square made upon HG , that is equal to the Square of AC . Wherefore HF and CK are the Squares of AC and CB . And because the Rectangle AG is * equal to the Rectangle GE , and ...
Side 50
... Square that is made of the intermediate Distance , is equal to the Square made of half the Line . LET any Right Line A B be cut into two equal Parts in C , and into two unequal Parts in D. I fay the Rectangle contained under AD , DB ...
... Square that is made of the intermediate Distance , is equal to the Square made of half the Line . LET any Right Line A B be cut into two equal Parts in C , and into two unequal Parts in D. I fay the Rectangle contained under AD , DB ...
Side 51
... Square of half the Line , is equal to the Square of the Line compounded of half the Line , and the added Line taken as one Line . ET the Right Line AB be bifected in the Point C , and BD added directly thereto . I fay the Rectangle ...
... Square of half the Line , is equal to the Square of the Line compounded of half the Line , and the added Line taken as one Line . ET the Right Line AB be bifected in the Point C , and BD added directly thereto . I fay the Rectangle ...
Side 52
... Square of half the Line , is equal to the Square of the Line compounded of half the Line , and the added Line taken as one Line ; which was to be demonftrated . PROPOSITION VII . THEOREM . If a Right Line be any how cut , the Square of ...
... Square of half the Line , is equal to the Square of the Line compounded of half the Line , and the added Line taken as one Line ; which was to be demonftrated . PROPOSITION VII . THEOREM . If a Right Line be any how cut , the Square of ...
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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.