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
... 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 Equimultiples of the fecond ...
... 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 Equimultiples of the fecond ...
Σελίδα 118
... Equimultiples of the second and fourth . And if the Multiple of the first be greater than the Multiple of the second ... Equimultiple of the fecond , as the third is of the fourth , or the fame Part , or Parts . But this Definition ...
... Equimultiples of the second and fourth . And if the Multiple of the first be greater than the Multiple of the second ... Equimultiple of the fecond , as the third is of the fourth , or the fame Part , or Parts . But this Definition ...
Σελίδα 119
... Equimultiples of the first and third Magnitudes A and C : 2A , 10B , 2C , 10D Alfo , let 10B and 10D be Equimultiples of the fe- cond and fourth Magnitudes B and D. Then ( by Def . 5. ) if 2A be equal to 10B , 2C fhall be equal to toD ...
... Equimultiples of the first and third Magnitudes A and C : 2A , 10B , 2C , 10D Alfo , let 10B and 10D be Equimultiples of the fe- cond and fourth Magnitudes B and D. Then ( by Def . 5. ) if 2A be equal to 10B , 2C fhall be equal to toD ...
Σελίδα 120
... Equimultiples , the Multiple of the firft exceeds the Multiple of the fecond , but the Multiple of the third does not exceed the Mul- tiple of the fourth ; then the first to the fecond is faid to have a greater Proportion than the third ...
... Equimultiples , the Multiple of the firft exceeds the Multiple of the fecond , but the Multiple of the third does not exceed the Mul- tiple of the fourth ; then the first to the fecond is faid to have a greater Proportion than the third ...
Σελίδα 125
... Equimultiples of the fecond and fourth , according to any Multiplication whatsoever , if they be fo taken as to ... Equimultiples of B and D. I fay E is to Gas F is to H. For take K and L , any Equimultiples of E and F ; and alfo M and N ...
... Equimultiples of the fecond and fourth , according to any Multiplication whatsoever , if they be fo taken as to ... Equimultiples of B and D. I fay E is to Gas F is to H. For take K and L , any Equimultiples of E and F ; and alfo M and N ...
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.