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 13
If equals be added to equals , the wholes are equal . III . If equals be added to unequals , the wholes are unequal . V. If equals be taken from equals , the remainders are equal . IV . ... The whole is greater than its OF EUCLID . 13.
If equals be added to equals , the wholes are equal . III . If equals be added to unequals , the wholes are unequal . V. If equals be taken from equals , the remainders are equal . IV . ... The whole is greater than its OF EUCLID . 13.
Side 14
The whole is greater than its part . X. Two ftraight lines cannot inclose a space . XI . All right angles are equal to one another . XII . " If a straight line meets two straight lines , fo as to make the " two interior angles on the ...
The whole is greater than its part . X. Two ftraight lines cannot inclose a space . XI . All right angles are equal to one another . XII . " If a straight line meets two straight lines , fo as to make the " two interior angles on the ...
Side 17
Wherefore the whole triangle ABC fhall coincide with the whole triangle DEF , and be equal to it ; and the other angles , of the one fhall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to ...
Wherefore the whole triangle ABC fhall coincide with the whole triangle DEF , and be equal to it ; and the other angles , of the one fhall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to ...
Side 18
... and the angle AFC to the angle AGB And because the whole AF F : is equal to the whole AG , of which D B G E the parts AB , AC , are equal ; the c 3. Az . remainder BF fhall be equal to the remainder CG ; and FC was proved to be ...
... and the angle AFC to the angle AGB And because the whole AF F : is equal to the whole AG , of which D B G E the parts AB , AC , are equal ; the c 3. Az . remainder BF fhall be equal to the remainder CG ; and FC was proved to be ...
Side 37
And , by C 3 A A D C F CI oppofite angle ABC ; but the angle ACE was fhewn to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two interior and oppofite angles CAB , ABC ; to thefe equals add the angle ...
And , by C 3 A A D C F CI oppofite angle ABC ; but the angle ACE was fhewn to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two interior and oppofite angles CAB , ABC ; to thefe equals add the angle ...
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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 |