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 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
A For , if AB be not equal to AC , one of them is greater than the other : Let AB be the greater , and from it cut a off DB e a 3. I. qual to AC , the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to ...
A For , if AB be not equal to AC , one of them is greater than the other : Let AB be the greater , and from it cut a off DB e a 3. I. qual to AC , the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to ...
Side 20
Again , because CB is equal to A DB , the angle BDC is equal a to the angle BCD ; but BDC has been proved to be greater than the fame BCD ; which is impoffible . The cafe in which the ver tex of one triangle is upon a fide of the other ...
Again , because CB is equal to A DB , the angle BDC is equal a to the angle BCD ; but BDC has been proved to be greater than the fame BCD ; which is impoffible . The cafe in which the ver tex of one triangle is upon a fide of the other ...
Side 26
THEOR . one fide of a triangle be produced , the exterior greater interior angles . Let ABC be a triangle , and let its fide BC be produced to D , the exterior angle ACD is greater than either of the interior oppofite angles CBA , BAC .
THEOR . one fide of a triangle be produced , the exterior greater interior angles . Let ABC be a triangle , and let its fide BC be produced to D , the exterior angle ACD is greater than either of the interior oppofite angles CBA , BAC .
Side 27
I. greater than the angles ABC , ACB ; but ACD , ACB are together equal b to two right angles ; therefore the angles ABC , b 13. 1 . BCA are less than two right angles . In like manner , it may be demonftrated , that BAC , ACB , as alfo ...
I. greater than the angles ABC , ACB ; but ACD , ACB are together equal b to two right angles ; therefore the angles ABC , b 13. 1 . BCA are less than two right angles . In like manner , it may be demonftrated , that BAC , ACB , as alfo ...
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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 |