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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Resultat 1-5 av 38
Side 155
... ratio , when the whole is to the greater fegment , as the greater feg- ment is to the lefs . IV . The altitude of any figure is the ftraight line drawn from its vertex perpendicular to the base . PROP . Book VI . See N. a 38. I. PROP .
... ratio , when the whole is to the greater fegment , as the greater feg- ment is to the lefs . IV . The altitude of any figure is the ftraight line drawn from its vertex perpendicular to the base . PROP . Book VI . See N. a 38. I. PROP .
Side 156
... altitude are one to another as their bases . TR Let the triangles ABC , ACD , and the parallelograms EC , CF have the fame altitude , viz . the perpendicular drawn from the point A to BD : Then , as the bafe BC is to the base CD , so is ...
... altitude are one to another as their bases . TR Let the triangles ABC , ACD , and the parallelograms EC , CF have the fame altitude , viz . the perpendicular drawn from the point A to BD : Then , as the bafe BC is to the base CD , so is ...
Side 157
... altitudes , are one to another as their bafes . Let the figures be placed fo as to have their bases in the fame ... altitude , viz . the perpendicular drawn from the point E to AB , they are to one another as their bafes ; and for ...
... altitudes , are one to another as their bafes . Let the figures be placed fo as to have their bases in the fame ... altitude , viz . the perpendicular drawn from the point E to AB , they are to one another as their bafes ; and for ...
Side 230
... altitude , and let their infifting ftraight See the fi- lines AF , AG , LM , LN , be terminated in the fame ftraight gureş below . line FN , and CD , CE , BH , BK be terminated in the fame ftraight line DK ; the folid AH is equal to the ...
... altitude , and let their infifting ftraight See the fi- lines AF , AG , LM , LN , be terminated in the fame ftraight gureş below . line FN , and CD , CE , BH , BK be terminated in the fame ftraight line DK ; the folid AH is equal to the ...
Side 231
... altitude , the infifting straight lines of which are not terminated in the fame ftraight lines in the plane oppofite to the bafe , are equal to one another . Let the parallelepipeds CM , CN be upon the fame base AB , and of the fame ...
... altitude , the infifting straight lines of which are not terminated in the fame ftraight lines in the plane oppofite to the bafe , are equal to one another . Let the parallelepipeds CM , CN be upon the fame base AB , and of the fame ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
Vanlige uttrykk og setninger
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