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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Resultat 1-5 av 69
Side 11
... diameter of a circle is a straight line drawn through the cen tre , and terminated both ways by the circumference . XVIII . A femicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter ...
... diameter of a circle is a straight line drawn through the cen tre , and terminated both ways by the circumference . XVIII . A femicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter ...
Side 39
... diameter is the Straight line joining two of its oppofite angles . Let ACDB be a parallelogram , of which BC is a diameter ; the opponite fides and angles of the figure are equal to one a- nother ; and the diameter BC bifects it ...
... diameter is the Straight line joining two of its oppofite angles . Let ACDB be a parallelogram , of which BC is a diameter ; the opponite fides and angles of the figure are equal to one a- nother ; and the diameter BC bifects it ...
Side 40
... diameter BC divides the paral- lelogram ACDB into two equal parts . Q. E. D. C 4. I. See N. See the 2d gures . PAR PROP . XXXV . THEOR . ARALELLOGRAMS upon the fame base and between the fame parallels , are equal to one another . Let ...
... diameter BC divides the paral- lelogram ACDB into two equal parts . Q. E. D. C 4. I. See N. See the 2d gures . PAR PROP . XXXV . THEOR . ARALELLOGRAMS upon the fame base and between the fame parallels , are equal to one another . Let ...
Side 42
... diameter AB bìfects it ; and the triangle DEF is the half of the parallelogram DEFH , because the diameter DF bifects it : But the halves of equal things are equal d ; therefore the triangle ABC , is equal to the triangle DEF ...
... diameter AB bìfects it ; and the triangle DEF is the half of the parallelogram DEFH , because the diameter DF bifects it : But the halves of equal things are equal d ; therefore the triangle ABC , is equal to the triangle DEF ...
Side 44
... diameter AC divides it into two equal parts ; wherefore ABCD is alfo double of the triangle EBC . Therefore , if a parallelogram , & c . Q. E. D. B PROP . XLII . PRO B. DE defcribe a parallelogram that fhall be equal to a To given ...
... diameter AC divides it into two equal parts ; wherefore ABCD is alfo double of the triangle EBC . Therefore , if a parallelogram , & c . Q. E. D. B PROP . XLII . PRO B. DE defcribe a parallelogram that fhall be equal to a To given ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
Vanlige uttrykk og setninger
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