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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Resultat 1-5 av 100
Side 15
T PROPOSITION I. PROBLEM . describe an equilateral triangle upon a given finite ftraight line . ... 1ft Axiare equal to one another ; and the triangle ABC is therefore om . equilateral , and it is described upon the given ftraight line ...
T PROPOSITION I. PROBLEM . describe an equilateral triangle upon a given finite ftraight line . ... 1ft Axiare equal to one another ; and the triangle ABC is therefore om . equilateral , and it is described upon the given ftraight line ...
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 18
Book I , qual to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC fhall be equal to the angle ... 1 qual b to the bafe GB , and the triangle AFC to the triangle AGB ; and the remaining angles of the one are ...
Book I , qual to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC fhall be equal to the angle ... 1 qual b to the bafe GB , and the triangle AFC to the triangle AGB ; and the remaining angles of the one are ...
Side 19
Let ABC be a triangle having the angle ABC equal to the Book I angle ACB ; the fide AB is alfo equal to the fide AC . ... I. qual to AC , the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC ...
Let ABC be a triangle having the angle ABC equal to the Book I angle ACB ; the fide AB is alfo equal to the fide AC . ... I. qual to AC , the less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC ...
Side 21
Therefore if two triangles , b 8. ... AD ; join DE , and upon it describe b an equilateral triangle DEF ; then join AF ; the ftraight line AF bifects the angle BAC . ... Defcribe a upon it an equilateral triangle ABC , and bifect a 1.
Therefore if two triangles , b 8. ... AD ; join DE , and upon it describe b an equilateral triangle DEF ; then join AF ; the ftraight line AF bifects the angle BAC . ... Defcribe a upon it an equilateral triangle ABC , and bifect a 1.
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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 |