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 σελίδες |
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Σελίδα 276
... Cofine . The other Segment BE , which is intercepted between the Right Sine and the Periphery , is called a verfed Sine , and fometimes a Sagitta . And if the Right Line CG be produced from the Cen- ter C , thro ' one End D of the Arc ...
... Cofine . The other Segment BE , which is intercepted between the Right Sine and the Periphery , is called a verfed Sine , and fometimes a Sagitta . And if the Right Line CG be produced from the Cen- ter C , thro ' one End D of the Arc ...
Σελίδα 277
... Cofine , Ta Tangent , and Cot , a Cotangent . The CONSTRUCTION of the Tri- gonometrical Canon . PROPOSITION I THEOREM . The two Sides of any Right - angled Triangle being given , the other Side is also given . FOR ( by 47. of the firft ...
... Cofine , Ta Tangent , and Cot , a Cotangent . The CONSTRUCTION of the Tri- gonometrical Canon . PROPOSITION I THEOREM . The two Sides of any Right - angled Triangle being given , the other Side is also given . FOR ( by 47. of the firft ...
Σελίδα 278
... 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 Arc BL being given , to ...
... 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 Arc BL being given , to ...
Σελίδα 279
... Cofine of the Arc FD , which accordingly is given , and draw OP thro ' O parallel to DK . Alfo let OM , GE , be drawn parallel to CB . Then be- cause the Triangles CDK , COP , CHI , FOH , FOM , are equiangular . In the firft Place , CD ...
... Cofine of the Arc FD , which accordingly is given , and draw OP thro ' O parallel to DK . Alfo let OM , GE , be drawn parallel to CB . Then be- cause the Triangles CDK , COP , CHI , FOH , FOM , are equiangular . In the firft Place , CD ...
Σελίδα 280
... Cofine of 30 Degrees , as 1 to 3 .. And accordingly , if the FIG . for the DEFINITIONS . Let B D be an Arch of 30es Rad . Fan Co - fine Sine Then as CB : BG : VCB FD : DE . DOCB ergo DE = 1⁄2 , DECE = √ √ CB : CE : 1 : √ 2.E.D. = √3 ...
... Cofine of 30 Degrees , as 1 to 3 .. And accordingly , if the FIG . for the DEFINITIONS . Let B D be an Arch of 30es Rad . Fan Co - fine Sine Then as CB : BG : VCB FD : DE . DOCB ergo DE = 1⁄2 , DECE = √ √ CB : CE : 1 : √ 2.E.D. = √3 ...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2014 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 15 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...
Σελίδα 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.
Σελίδα 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.