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 10
An acute angle is that which is less than a right angle . XIII . " A term or boundary is the extremity of any thing . " XIV . A figure is that which is inclefed by one or more boundaries , You XV . A circle is a plane figure contained ...
An acute angle is that which is less than a right angle . XIII . " A term or boundary is the extremity of any thing . " XIV . A figure is that which is inclefed by one or more boundaries , You XV . A circle is a plane figure contained ...
Side 14
If a straight line meets two straight lines , fo as to make the " two interior angles on the fame fide of it taken together " less than two right angles , these straight lines being con" tinually produced , fhall at length meet upon ...
If a straight line meets two straight lines , fo as to make the " two interior angles on the fame fide of it taken together " less than two right angles , these straight lines being con" tinually produced , fhall at length meet upon ...
Side 16
PRO B. FR ROM the greater of two given ftraight lines to cut off a part equal to the less . Let AB and C be the two given ftraight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C ...
PRO B. FR ROM the greater of two given ftraight lines to cut off a part equal to the less . Let AB and C be the two given ftraight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C ...
Side 19
I. qual to AC , the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two fides DB , BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to the ...
I. qual to AC , the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two fides DB , BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to the ...
Side 25
A ABƆ , the less to the greater , which is impoffible ; therefore BE is nct in the fame ftraight line with BC . And , in like manner , it may be demonftrated , that no other can be in the fame ftraight line with it but BD , which ...
A ABƆ , the less to the greater , which is impoffible ; therefore BE is nct in the fame ftraight line with BC . And , in like manner , it may be demonftrated , that no other can be in the fame ftraight line with it but BD , which ...
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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 |