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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Side 25
Q. E. D , PROP . XV . THEOR . ... And confequently that all the angles made by any number of lines meeting in one point , are together equal to four right angles . PROP . a ...
Q. E. D , PROP . XV . THEOR . ... And confequently that all the angles made by any number of lines meeting in one point , are together equal to four right angles . PROP . a ...
Side 62
I. PROP . XI . PRO B. T ' O divide a given straight line into two parts , fo that the rectangle contained by the whole , and one of the parts , fhall be equal to the fquare of the other part . Let AB be the given straight line ; it is ...
I. PROP . XI . PRO B. T ' O divide a given straight line into two parts , fo that the rectangle contained by the whole , and one of the parts , fhall be equal to the fquare of the other part . Let AB be the given straight line ; it is ...
Side 72
Q. E. D. D PROP . VI . THEOR , E B F two circles touch one another internally , they fhall not have the fame centre . Let the two circles ABC , CDE , touch one another internally in the point C : They have not the fame centre .
Q. E. D. D PROP . VI . THEOR , E B F two circles touch one another internally , they fhall not have the fame centre . Let the two circles ABC , CDE , touch one another internally in the point C : They have not the fame centre .
Side 90
PROP . XXVII . THEOR . N equal circles , the angles which ftand upon equal circumferences are equal to one another , whether they be at the centres or circumferences . Let the angles BGC , EHF at the centres , and BAC , EDF at the ...
PROP . XXVII . THEOR . N equal circles , the angles which ftand upon equal circumferences are equal to one another , whether they be at the centres or circumferences . Let the angles BGC , EHF at the centres , and BAC , EDF at the ...
Side 92
D. PROP . XXX . PRO B. T O bisect a given circumference , that is , to divide it into two equal parts . Join AB , and bifect a it in C ; from the point C draw CD at right angles to AB , and join AD , DB : the ...
D. PROP . XXX . PRO B. T O bisect a given circumference , that is , to divide it into two equal parts . Join AB , and bifect a it in C ; from the point C draw CD at right angles to AB , and join AD , DB : the ...
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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