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 40
... Place BE in a ftraight Line with AB , and produce FG to H , and thro ' A let AH be +31 of this , drawn + parallel to either GB , or FE , and join HB . Now because the Right Line HF falls on the Pa- 29 of this rallels AH , EF , the ...
... Place BE in a ftraight Line with AB , and produce FG to H , and thro ' A let AH be +31 of this , drawn + parallel to either GB , or FE , and join HB . Now because the Right Line HF falls on the Pa- 29 of this rallels AH , EF , the ...
Σελίδα 40
... Place BE in a straight Line with AB , and produce FG to H , and thro ' A let AH be † 31 of tl.is , drawn + parallel to either GB , or FE , and join HB . Now because the Right Line HF falls on the Pa29 of tbi , rallels AH , EF , the ...
... Place BE in a straight Line with AB , and produce FG to H , and thro ' A let AH be † 31 of tl.is , drawn + parallel to either GB , or FE , and join HB . Now because the Right Line HF falls on the Pa29 of tbi , rallels AH , EF , the ...
Σελίδα 76
... Place , if this be denied , let the Circle ABDC , if poffible , touch the Circle EBFD inwardly , in more Points than one , viz . in B , D. And let G be the Center of the Circle ABDC , and H that of EBFD . Then a Right Line drawn from ...
... Place , if this be denied , let the Circle ABDC , if poffible , touch the Circle EBFD inwardly , in more Points than one , viz . in B , D. And let G be the Center of the Circle ABDC , and H that of EBFD . Then a Right Line drawn from ...
Σελίδα 96
... place , let it pass thro ' the Center of the Circle ABC , which let be E , and join EB . Then * 18 of this . the Angle EBD is a Right Angle . And fo fince the Right Line AC is bifected in E , and CD is added thereto , the Rectangle ...
... place , let it pass thro ' the Center of the Circle ABC , which let be E , and join EB . Then * 18 of this . the Angle EBD is a Right Angle . And fo fince the Right Line AC is bifected in E , and CD is added thereto , the Rectangle ...
Σελίδα 161
... Place AB , BC , in a direct Line , and on the whole AC defcribe the Semicircle ADC , and * draw * 11. 16 BD at Right Angles to AC from the Point B , and let AD , DC , be joined . Then because the Angle ADC , in a Semicircle , ist a ...
... Place AB , BC , in a direct Line , and on the whole AC defcribe the Semicircle ADC , and * draw * 11. 16 BD at Right Angles to AC from the Point B , and let AD , DC , be joined . Then because the Angle ADC , in a Semicircle , ist a ...
Άλλες εκδόσεις - Προβολή όλων
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2014 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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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.