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 49
Side 278
... Difference between the Cofine and Radius . Therefore DE , EB , being given in the Right - angled Triangle DBE , there will be given DB , whofe half DM is the Sine of the Arc DL the Arc BD . PROPOSITION IV . PROBLEM . The Sine BM of the ...
... Difference between the Cofine and Radius . Therefore DE , EB , being given in the Right - angled Triangle DBE , there will be given DB , whofe half DM is the Sine of the Arc DL the Arc BD . PROPOSITION IV . PROBLEM . The Sine BM of the ...
Side 279
... Difference of the Arcs . W. W. D. - = Corall . Because the Differences of the Arcs BE , BD , BF , are equal , the Arc BD fhall be an Arithme- tical Mean between the Arcs B E , BF . PROPOSITION VI . The fame Things being fuppofed ...
... Difference of the Arcs . W. W. D. - = Corall . Because the Differences of the Arcs BE , BD , BF , are equal , the Arc BD fhall be an Arithme- tical Mean between the Arcs B E , BF . PROPOSITION VI . The fame Things being fuppofed ...
Side 280
... Difference of the Sines of 14 Degrees , and 16 Degrees ; fo alfo is the Sine of 3 Degrees , to the Difference between the Sines of 12 and 18 Degrees ; and fo on continually until you come to the Sine of 30 Degrees . After the fame ...
... Difference of the Sines of 14 Degrees , and 16 Degrees ; fo alfo is the Sine of 3 Degrees , to the Difference between the Sines of 12 and 18 Degrees ; and fo on continually until you come to the Sine of 30 Degrees . After the fame ...
Side 281
... Difference of the Sines of 1 ' and 3 ' :: Sine 2 ' : Difference of the Sines of o ' and 4 ' , that is , to the Sine of 4. And fo the Sines of the four first Minutes being given , we may thereby find the Sines of the others to 8 ' , and ...
... Difference of the Sines of 1 ' and 3 ' :: Sine 2 ' : Difference of the Sines of o ' and 4 ' , that is , to the Sine of 4. And fo the Sines of the four first Minutes being given , we may thereby find the Sines of the others to 8 ' , and ...
Side 285
... Difference of the Sines are , bz az2 bz3 az4 1.2.3.4 bzs az 5 . + + : & c . I bz 1.2 a z2 1.2.3 bz3 a z4 1.2.3.4.5 bzs 1.2.3.4.5.6 az6 6 . + & c . I 1.2 1.2.3 1.2.3.4 1.2.3.4.5 1.2.3.4.5.6 Whence the Difference of the Differences or ...
... Difference of the Sines are , bz az2 bz3 az4 1.2.3.4 bzs az 5 . + + : & c . I bz 1.2 a z2 1.2.3 bz3 a z4 1.2.3.4.5 bzs 1.2.3.4.5.6 az6 6 . + & c . I 1.2 1.2.3 1.2.3.4 1.2.3.4.5 1.2.3.4.5.6 Whence the Difference of the Differences or ...
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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.