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 18
IF two angles of a triangle be , equal to one another , the fides alfo which fubtend , or are oppofite to , the equal angles , fhall be equal to one another . Let 1 * " J " 이 4 Let ABC be a triangle having the angle ABC equal 18 THE ...
IF two angles of a triangle be , equal to one another , the fides alfo which fubtend , or are oppofite to , the equal angles , fhall be equal to one another . Let 1 * " J " 이 4 Let ABC be a triangle having the angle ABC equal 18 THE ...
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 . 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 ...
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 . 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 ...
Side 20
AB to DE , and AC to A DF ; and alfo the bafe BC equal to the bafe EF . The D G 1 For , if the triB CE angle , ABC be applied to DEF , fo F that the point B be on E , and the ftraight line BC upon EF ; the point Chall alfo coincide with ...
AB to DE , and AC to A DF ; and alfo the bafe BC equal to the bafe EF . The D G 1 For , if the triB CE angle , ABC be applied to DEF , fo F that the point B be on E , and the ftraight line BC upon EF ; the point Chall alfo coincide with ...
Side 27
In like manner , it may be demonftrated , that BAC , ACB , as alfo CAB , ABC , are less than two right angles . Therefore any two angles , & c . Q. E. D. PROP . XVIII . THEOR . T greater angle . ' HE greater fide of every triangle is ...
In like manner , it may be demonftrated , that BAC , ACB , as alfo CAB , ABC , are less than two right angles . Therefore any two angles , & c . Q. E. D. PROP . XVIII . THEOR . T greater angle . ' HE greater fide of every triangle is ...
Side 32
ABC to DEF , and BCA to EFD ; alfo one fide equal to one fide ; and first let thofe fides be equal which are adjacent to the angles that are equal in the two`triangles ; viz . BC to EF ; the other fides , fhall be equal , each to each ...
ABC to DEF , and BCA to EFD ; alfo one fide equal to one fide ; and first let thofe fides be equal which are adjacent to the angles that are equal in the two`triangles ; viz . BC to EF ; the other fides , fhall be equal , each to each ...
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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 |