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 12
A fcalene triangle , is that which has three unequal fides . XXVII . A right angled triangle , is that which has a right angle . XXVIII . An obtuse angled triangle , is that which has an obtuse angle , XXIX . An acute angled triangle ...
A fcalene triangle , is that which has three unequal fides . XXVII . A right angled triangle , is that which has a right angle . XXVIII . An obtuse angled triangle , is that which has an obtuse angle , XXIX . An acute angled triangle ...
Side 16
I F two triangles have two fides of the one equal to two fides of the other , each to each ; and have likewife : the angles contained by those fides equal to one another ; they fhall likewise have their bases , or third fides , equal ...
I F two triangles have two fides of the one equal to two fides of the other , each to each ; and have likewife : the angles contained by those fides equal to one another ; they fhall likewise have their bases , or third fides , equal ...
Side 17
+ ¡ T A D ДА CE AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the bafe , BC fhall be equal to the bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite ...
+ ¡ T A D ДА CE AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the bafe , BC fhall be equal to the bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite ...
Side 18
A 1 Because AF is equal to AG , and AB to AC , the two fides FA , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two triangles AFC , AGB ; therefore the base FC is eb 4.
A 1 Because AF is equal to AG , and AB to AC , the two fides FA , AC are equal to the two GA , AB , each to each ; and they contain the angle FAG common to the two triangles AFC , AGB ; therefore the base FC is eb 4.
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 ...
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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 |