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 CorrectedP. Wogan, 1803 - 520 sider |
Inni boken
Resultat 1-5 av 39
Side 155
... is to the greater fegment , as the greater feg- ment is to the lefs . IV . The altitude of any figure is the straight line drawn from its vertex perpendicular to the base . PROP . Book VI . See N. a 38. I. TRIA PROP THE ...
... is to the greater fegment , as the greater feg- ment is to the lefs . IV . The altitude of any figure is the straight line drawn from its vertex perpendicular to the base . PROP . Book VI . See N. a 38. I. TRIA PROP THE ...
Side 156
... altitude , viz . the perpendicular drawn from the point A to BD : Then , as the bafe BC is to the bafe CD , fo is the triangle ABC to the triangle ACD , and the parallelo- gram EC to the parallelogram CF ! Produce BD both ways to the ...
... altitude , viz . the perpendicular drawn from the point A to BD : Then , as the bafe BC is to the bafe CD , fo is the triangle ABC to the triangle ACD , and the parallelo- gram EC to the parallelogram CF ! Produce BD both ways to the ...
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 bases ; 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 bases ; and for ...
Side 229
... altitude , the infifting ftraight lines of which are terminated in the fame ftraight lines in the plane oppofite to the bafe , are equal to one anothor . Let Book XI . Let the folid parallelopipeds AH , AK OF EUCLID , 229.
... altitude , the infifting ftraight lines of which are terminated in the fame ftraight lines in the plane oppofite to the bafe , are equal to one anothor . Let Book XI . Let the folid parallelopipeds AH , AK OF EUCLID , 229.
Side 230
... altitude , and let their infifting ftraight See the lines AF , AG , LM , LN , be terminated in the fame ftraight figures be- 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 lines AF , AG , LM , LN , be terminated in the fame ftraight figures be- line FN , and CD , CE , BH , BK , be terminated in the fame ftraight line DK ; the folid AH is equal to the ...
Andre utgaver - Vis alle
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Robert Simson Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fide BC fides 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 muſt parallel parallelogram parallelopipeds perpendicular polygon prifms propofition proportionals pyramid rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe tiple triangle ABC vertex wherefore