The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also the Book of Euclid's Data, in Like Manner CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 sider |
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Side 6
... plane Angles ; for in other cafes , two folid Figures may be contained by fimilar Planes of the fame Number and Magni- tude , and yet be unequal to one another , as fhall be made evi- dent in the Notes fubjoined to thefe elements . In ...
... plane Angles ; for in other cafes , two folid Figures may be contained by fimilar Planes of the fame Number and Magni- tude , and yet be unequal to one another , as fhall be made evi- dent in the Notes fubjoined to thefe elements . In ...
Side 7
... affiftance of a learned Gentleman , To which are also added , the Elements of Plane and Spherical Trigonometry , which are commonly taught after the Elements of Euclid . THE ELEMENTS E UCL I D , A BOOK I. DEFINITIONS PREFACE . vii.
... affiftance of a learned Gentleman , To which are also added , the Elements of Plane and Spherical Trigonometry , which are commonly taught after the Elements of Euclid . THE ELEMENTS E UCL I D , A BOOK I. DEFINITIONS PREFACE . vii.
Side 9
... plane fuperficies is that in which any two points being taken , the straight line between them lies wholly in that fuperficies . VIII . " A plane angle is the inclination of two lines to one another See N. " in a plane , which meet ...
... plane fuperficies is that in which any two points being taken , the straight line between them lies wholly in that fuperficies . VIII . " A plane angle is the inclination of two lines to one another See N. " in a plane , which meet ...
Side 10
... less than a right angle . XIII . " A term or boundary is the extremity of any thing . " XIV . A figure is that which is inclefed by one or more boundaries . XV . XV . A circle is a plane figure contained by 70 THE ELEMENTS.
... less than a right angle . XIII . " A term or boundary is the extremity of any thing . " XIV . A figure is that which is inclefed by one or more boundaries . XV . XV . A circle is a plane figure contained by 70 THE ELEMENTS.
Side 11
... plane figure contained by one line , which is called the circumference , and is fuch that all ftraight lines drawn from a certain point within the figure to the circumference , are equal to one another . * Book I. XVI . And this point ...
... plane figure contained by one line , which is called the circumference , and is fuch that all ftraight lines drawn from a certain point within the figure to the circumference , are equal to one another . * Book I. XVI . And this point ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio fecond fegment fhall fide BC fides fimilar firft firſt folid angle fome fore fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt oppofite parallel parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore