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 1-5 av 52
Side 10
... double to one and the fame Thing , are equal between themselves . VII . Things which are half one and the fame Thing , are equal between themselves . VIII . Things which mutually agree together , are equal to one another . IX . The ...
... double to one and the fame Thing , are equal between themselves . VII . Things which are half one and the fame Thing , are equal between themselves . VIII . Things which mutually agree together , are equal to one another . IX . The ...
Side 38
... double the Tri- angle ABC , fince the Diameter AC bifects it . Where- fore likewise it shall be double to the Triangle EBC . If , therefore , a Parallelogram and Triangle have both the fame Bafe , and are between the fame Parallels ...
... double the Tri- angle ABC , fince the Diameter AC bifects it . Where- fore likewise it shall be double to the Triangle EBC . If , therefore , a Parallelogram and Triangle have both the fame Bafe , and are between the fame Parallels ...
Side 39
... double to the Triangle AEC . But the Parallelogram FECG is alfo double to the Triangle AEC ; for it has the fame Base , and is between the fame Parallels . There- fore the Parallelogram FECG , is equal to the Tri- angle ABC , and has ...
... double to the Triangle AEC . But the Parallelogram FECG is alfo double to the Triangle AEC ; for it has the fame Base , and is between the fame Parallels . There- fore the Parallelogram FECG , is equal to the Tri- angle ABC , and has ...
Side 43
... double to the Triangle FBC ; for they have the fame Base F B , and are in the fame Parallels F B , GC . But Things that are the Doubles of equal Things are equal to * Ax . 6 . each other . Therefore the Parallelogram BL is equal to the ...
... double to the Triangle FBC ; for they have the fame Base F B , and are in the fame Parallels F B , GC . But Things that are the Doubles of equal Things are equal to * Ax . 6 . each other . Therefore the Parallelogram BL is equal to the ...
Side 52
... double the Rectangle contained under the whole Line , and the faid Segment , together with the Square , made of the other Segment . ET the Right Line A B be any how cut in the Point C. I fay the Squares of AB , BC , to gether , are ...
... double the Rectangle contained under the whole Line , and the faid Segment , together with the Square , made of the other Segment . ET the Right Line A B be any how cut in the Point C. I fay the Squares of AB , BC , to gether , are ...
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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.