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 117
... fourth , when the Equimultiples of the first and third , compared with the Equimultiples of the fecond and fourth , according to any Multipli- cation whatsoever , are either both together greater , equal , or lefs , than the ...
... fourth , when the Equimultiples of the first and third , compared with the Equimultiples of the fecond and fourth , according to any Multipli- cation whatsoever , are either both together greater , equal , or lefs , than the ...
Σελίδα 118
... fourth . And if the Multiple of the first be greater than the Multiple of the second , and also the Multiple of the third greater than the Multiple of the fourth : Or , if the Multiple of the first be equal to the Multiple of the second ...
... fourth . And if the Multiple of the first be greater than the Multiple of the second , and also the Multiple of the third greater than the Multiple of the fourth : Or , if the Multiple of the first be equal to the Multiple of the second ...
Σελίδα 119
... fourth Magnitudes B and D. Then ( by Def . 5. ) if 2A be equal to 10B , 2C fhall be equal to toD . But fince A ( from the Hypothefis ) is five Times B , 2A fhall be equal to 10B ; and fo 2C equal to 10D , and C equal to 5D ; that is , C ...
... fourth Magnitudes B and D. Then ( by Def . 5. ) if 2A be equal to 10B , 2C fhall be equal to toD . But fince A ( from the Hypothefis ) is five Times B , 2A fhall be equal to 10B ; and fo 2C equal to 10D , and C equal to 5D ; that is , C ...
Σελίδα 120
... fourth ; then the first to the fecond is faid to have a greater Proportion than the third to the fourth . VIII . Analogy is a Similitude of Proportions . IX . Analogy at least confifts of three Terms . X. When three Magnitudes are ...
... fourth ; then the first to the fecond is faid to have a greater Proportion than the third to the fourth . VIII . Analogy is a Similitude of Proportions . IX . Analogy at least confifts of three Terms . X. When three Magnitudes are ...
Σελίδα 125
... fourth ; then alfo fhall the Equi- multiples of the first and third have the fame Proportion to the Equimultiples of the fecond and fourth , according to any Multiplication whatsoever , if they be fo taken as to answer each other . ET ...
... fourth ; then alfo fhall the Equi- multiples of the first and third have the fame Proportion to the Equimultiples of the fecond and fourth , according to any Multiplication whatsoever , if they be fo taken as to answer each other . ET ...
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
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.