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 17
V. THEOR . THE THE angles at the bafe of an Ifofceles triangle are equal to one another ; and , if the equal fides be produced , the angles upon the other fide of the bafe thall be equal ...
V. THEOR . THE THE angles at the bafe of an Ifofceles triangle are equal to one another ; and , if the equal fides be produced , the angles upon the other fide of the bafe thall be equal ...
Side 23
THEOR . TH " HE angles which one ftraight line makes with another upon the one fide of it , are either two right angles , or are together equal to two right angles . B 4 Book I. Let a 10. Def . I. ' b 3. Poft . C IO .
THEOR . TH " HE angles which one ftraight line makes with another upon the one fide of it , are either two right angles , or are together equal to two right angles . B 4 Book I. Let a 10. Def . I. ' b 3. Poft . C IO .
Side 24
THEOR . I5 F , at a point in a straight line , two other ftraight lines , upon the oppofite fides of it , make the adjacent angles together equal to two right angles , thefe two ftraight lines fhall be in one and the fame ftraight line ...
THEOR . I5 F , at a point in a straight line , two other ftraight lines , upon the oppofite fides of it , make the adjacent angles together equal to two right angles , thefe two ftraight lines fhall be in one and the fame ftraight line ...
Side 28
THEOR . NY two fides of a than the third fide . Α ' triangle are together greater Let ABC be a triangle ; any two fides of it together are greater than the third fide , viz . the fides BA , AC greater than the fide BC ; and AB ...
THEOR . NY two fides of a than the third fide . Α ' triangle are together greater Let ABC be a triangle ; any two fides of it together are greater than the third fide , viz . the fides BA , AC greater than the fide BC ; and AB ...
Side 32
THEOR . F two triangles have two angles of one equal to two angles of the other , each to each ; and one fide equal to one fide , viz . either the fides adjacent to the equal angles ...
THEOR . F two triangles have two angles of one equal to two angles of the other , each to each ; and one fide equal to one fide , viz . either the fides adjacent to the equal angles ...
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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