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 15
Because the point A is the centre of the circle BCD , AC is equal to AB ; and because the point B is the centre of the c . 15. Defi circle ACE , BC is equal to BA : But it has been proved that CA is equal to AB ; therefore CA , CB are ...
Because the point A is the centre of the circle BCD , AC is equal to AB ; and because the point B is the centre of the c . 15. Defi circle ACE , BC is equal to BA : But it has been proved that CA is equal to AB ; therefore CA , CB are ...
Side 17
E For , if the triangle ABC be applied to DEF , fo that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E , because AB is equal to DE ; and AB coinciding with DE , AC fhall coincide ...
E For , if the triangle ABC be applied to DEF , fo that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E , because AB is equal to DE ; and AB coinciding with DE , AC fhall coincide ...
Side 27
T greater angle . ' HE greater fide of every triangle is oppofite to the Let ABC be a triangle , of which the fide AC is greater than the fide AB ; the angle ABC is alfo greater than the angle BCA . B b 16. 1 , Because AC is greater ...
T greater angle . ' HE greater fide of every triangle is oppofite to the Let ABC be a triangle , of which the fide AC is greater than the fide AB ; the angle ABC is alfo greater than the angle BCA . B b 16. 1 , Because AC is greater ...
Side 39
angle ACB is equal to the angle CBD ; and because the straight Book 1 . line BC meets the two ftraight lines AC , BD , and makes the alternate angles ACB , CBD equal to one another , AC is parallel to BĎ ; and it was fhewn to be equal ...
angle ACB is equal to the angle CBD ; and because the straight Book 1 . line BC meets the two ftraight lines AC , BD , and makes the alternate angles ACB , CBD equal to one another , AC is parallel to BĎ ; and it was fhewn to be equal ...
Side 42
I gram EBCA , because the diameter AB befects cit ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bifects it : But the halves of equal things are equal d ; therefore the triangle ABC is equal to ...
I gram EBCA , because the diameter AB befects cit ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bifects it : But the halves of equal things are equal d ; therefore the triangle ABC is equal to ...
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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
Bibliografisk informasjon
| Tittel | 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 |
| Forfatter | Euclid |
| Utgiver | E. Wingrove, London, and J. Balfour, Edinburgh, 1793 |
| Original fra | Harvard University |
| Digitalisert | 17. apr 2019 |
| Lengde | 520 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |