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 Corrected |
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Side 262
Book XII . the two prifms in the pyramid ABCG to the two prifms in the pyramid DEFH ; and fo are the two prifms in the ... of the prisms made by dividing the pyramids AKLO and DPRS , and of all made by the fame number of divifions .
Book XII . the two prifms in the pyramid ABCG to the two prifms in the pyramid DEFH ; and fo are the two prifms in the ... of the prisms made by dividing the pyramids AKLO and DPRS , and of all made by the fame number of divifions .
Side 263
the bafe DEF , as the pyramid ABCG to any folid which is Book XII . lefs than the pyramid DEFH . In the fame manner it may be demonstrated , that the base DEF is not to the base ABC , as the pyramid DEFH to any folid which is less than ...
the bafe DEF , as the pyramid ABCG to any folid which is Book XII . lefs than the pyramid DEFH . In the fame manner it may be demonstrated , that the base DEF is not to the base ABC , as the pyramid DEFH to any folid which is less than ...
Side 264
Let the pyramids which have the polygons ABCDE , FGHKL for their bafes , and their vertices in the points M , N , be of the fame altitude : As the bafe ABCDE to the bafe FGHKL , fo is the pyramid ABCDEM to the pyramid FGHKLN .
Let the pyramids which have the polygons ABCDE , FGHKL for their bafes , and their vertices in the points M , N , be of the fame altitude : As the bafe ABCDE to the bafe FGHKL , fo is the pyramid ABCDEM to the pyramid FGHKLN .
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
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 folid angle fore four fourth fquare fquare of AC ftraight line given angle given ftraight line given in fpecies given in pofition given magnitude given ratio greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reafon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole