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 Restored : Also the Book of Euclid's Data, in Like Manner CorrectedJ. Nourse, London, 1781 - 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 Mag- nitude , and yet be unequal to one another ; as shall be made evident 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 Mag- nitude , and yet be unequal to one another ; as shall be made evident in the Notes fubjoined to thefe Elements . In ...
Side 7
... Affiftance of a learned Gentleman . To which are alfo added , the elements of Plane and Spherical Trigonometry , which are commonly taught after the Elements of Euclid . THE ELEMENT S O F EUCLID . BOOK I. A PREFACE . vii.
... Affiftance of a learned Gentleman . To which are alfo added , the elements of Plane and Spherical Trigonometry , which are commonly taught after the Elements of Euclid . THE ELEMENT S O F EUCLID . BOOK I. A PREFACE . vii.
Side 9
... plane fuperficies is that in which any two points being taken , See N. the ftraight 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 ...
... plane fuperficies is that in which any two points being taken , See N. the ftraight 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 ...
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 inclofed by one or more boundaries . XV . XV . A circle is a plane figure contained by 10 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 inclofed by one or more boundaries . XV . XV . A circle is a plane figure contained by 10 THE ELEMENTS.
Side 11
... plane figure contained by one line , which is cal- led the circumference , and is fuch that all straight lines . drawn from a certain point within the figure to the circum- ference , are equal to one another : Book I. XVI . And this ...
... plane figure contained by one line , which is cal- led the circumference , and is fuch that all straight lines . drawn from a certain point within the figure to the circum- ference , are equal to one another : Book I. XVI . And this ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
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alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fides BA fimilar fince firft firſt folid angle fome fore fphere 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 oppofite parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals pyramid Q. E. D. PROP rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC vertex wherefore