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 3
... Some Geometricians , forfooth , want a De- monftration of this Property in Euclid ; and undertake to supply the Deficiency by one of their own . Here , again , they fhew their Skill in Logick , in requiring a Demonftration for the ...
... Some Geometricians , forfooth , want a De- monftration of this Property in Euclid ; and undertake to supply the Deficiency by one of their own . Here , again , they fhew their Skill in Logick , in requiring a Demonftration for the ...
Σελίδα 162
... some other Paral- lelogram ; it fhall be as AB is to FE , fo is † BC to FE ; but as AB is to FE , fo is DB to BE ; and as BC is to FE , fo is GB to B F. Therefore , as DB is to BE , fo is GB to BF . Wherefore the Sides of the ...
... some other Paral- lelogram ; it fhall be as AB is to FE , fo is † BC to FE ; but as AB is to FE , fo is DB to BE ; and as BC is to FE , fo is GB to B F. Therefore , as DB is to BE , fo is GB to BF . Wherefore the Sides of the ...
Σελίδα 258
... some Solid either lefs or greater than the Cone EN . First , let it be to the Solid X lefs than the Cone ; and let the Solid I be equal to the Excefs of the Cone EN above the Solid X. Then the Cone EN is equal to the Solids X , I ; let ...
... some Solid either lefs or greater than the Cone EN . First , let it be to the Solid X lefs than the Cone ; and let the Solid I be equal to the Excefs of the Cone EN above the Solid X. Then the Cone EN is equal to the Solids X , I ; let ...
Σελίδα 260
... some Solid lefs than the Cone AL . And therefore as the Circle EFGH is to the Circle ABCD , fo is the Cone EN to fome Solid lefs than the Cone AL ; which has been proved to be impoffible . Therefore the Circle ABCD to the Circle E F G H ...
... some Solid lefs than the Cone AL . And therefore as the Circle EFGH is to the Circle ABCD , fo is the Cone EN to fome Solid lefs than the Cone AL ; which has been proved to be impoffible . Therefore the Circle ABCD to the Circle E F G H ...
Σελίδα 389
... some of the Cafes are ambiguous and when not , I fhall not quar- rel with those who think him to blame ; but if I may be allowed to give my Opinion , I think they are de- termin'd for the most part as well , or at least with more Eafe ...
... some of the Cafes are ambiguous and when not , I fhall not quar- rel with those who think him to blame ; but if I may be allowed to give my Opinion , I think they are de- termin'd for the most part as well , or at least with more Eafe ...
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.