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 73
Side 18
Hence every equilateral triangle is also equiangular . PROP . VI . THEOR . 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 .
Hence every equilateral triangle is also equiangular . PROP . VI . THEOR . 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 .
Side 19
Hence every equiangular triangle is alfo equilateral . D b 4. I. PROP . VII . THEOR . UPS PON the fame base , and on the fame fide of it , see N. there cannot be two triangles that have their fides which are terminated in one extremity ...
Hence every equiangular triangle is alfo equilateral . D b 4. I. PROP . VII . THEOR . UPS PON the fame base , and on the fame fide of it , see N. there cannot be two triangles that have their fides which are terminated in one extremity ...
Side 103
D the circle . F G 4 E B PRO P. II . PRO B. IN a given circle to infcribe a triangle equiangular to a given triangle . Let 103 Book IV . 23. I. Let ABC be the given circle , and DEF the OF EUCLID .
D the circle . F G 4 E B PRO P. II . PRO B. IN a given circle to infcribe a triangle equiangular to a given triangle . Let 103 Book IV . 23. I. Let ABC be the given circle , and DEF the OF EUCLID .
Side 104
A H C maining angle EDF : Wherefore the triangle ABC is equiangular to the triangle DEF , and it is infcribed in the circle ABC . Which was to be done . PROP . III . PRO B. BOUT a given circle to describe a triangle equi angular to a ...
A H C maining angle EDF : Wherefore the triangle ABC is equiangular to the triangle DEF , and it is infcribed in the circle ABC . Which was to be done . PROP . III . PRO B. BOUT a given circle to describe a triangle equi angular to a ...
Side 105
Wherefore the triangle LMN is equiangular to the triangle DEF : And it is described about the circle ABC . Which was to be done . O infcribe a circle in a given triangle .
Wherefore the triangle LMN is equiangular to the triangle DEF : And it is described about the circle ABC . Which was to be done . O infcribe a circle in a given triangle .
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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