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 Corr |
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Resultat 1-5 av 55
Side 11
A fegment of a circle is the figure contained by a straight line , and the circumference it cuts off . " XX . Rectilineal figures are thofe which are contained by straight lines . XXI . Trilateral figures , or triangles , by three ...
A fegment of a circle is the figure contained by a straight line , and the circumference it cuts off . " XX . Rectilineal figures are thofe which are contained by straight lines . XXI . Trilateral figures , or triangles , by three ...
Side 22
By help of this problem , it may be demonstrated , that two straight lines cannot have a common fegment . If it be poffible , let the two ftraight lines the segment AB common to both of them . draw BE at right angles to AB ; and because ...
By help of this problem , it may be demonstrated , that two straight lines cannot have a common fegment . If it be poffible , let the two ftraight lines the segment AB common to both of them . draw BE at right angles to AB ; and because ...
Side 68
A fegment of a circle is the figure contained by a ftraight line and the circumference it cuts off . See N. a IO . I. b II . I. VII . " The angle of a fegment is that which is contained by the " ftraight line and the circumference .
A fegment of a circle is the figure contained by a ftraight line and the circumference it cuts off . See N. a IO . I. b II . I. VII . " The angle of a fegment is that which is contained by the " ftraight line and the circumference .
Side 85
Q. E. D. THE Let ABCD be a circle , and BAD , BED angles in the fame fegment BAED : The angles BAD , BED are equal to one another . B Take F the centre of the circle ABCD : And , firft , let the fegment BAED be greater than a femicircle ...
Q. E. D. THE Let ABCD be a circle , and BAD , BED angles in the fame fegment BAED : The angles BAD , BED are equal to one another . B Take F the centre of the circle ABCD : And , firft , let the fegment BAED be greater than a femicircle ...
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The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid fore four fourth fquare fquare of BC ftraight line given angle given in fpecies given in pofition given magnitude given ratio given ſtraight line greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reaſon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole