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 81
Side 6
In like manner , in the Demonstration of the 26th prop . of the 11th Book , it is taken for granted , that thofe folid Angles are equal to one another which are contained by plain Angles of the fame Number , and Magnitude , placed in ...
In like manner , in the Demonstration of the 26th prop . of the 11th Book , it is taken for granted , that thofe folid Angles are equal to one another which are contained by plain Angles of the fame Number , and Magnitude , placed in ...
Side 9
A plane fuperficies is that in which any two points being taken , the straight line between them lies wholly in that fuperficies . VIII . See N. " A plane angle is the inclination of two lines to one another " in a plane , which meet ...
A plane fuperficies is that in which any two points being taken , the straight line between them lies wholly in that fuperficies . VIII . See N. " A plane angle is the inclination of two lines to one another " in a plane , which meet ...
Side 13
If equals be added to equals , the wholes are equal . III . If equals be added to unequals , the wholes are unequal . V. If equals be taken from equals , the remainders are equal . IV . If equals be taken from unequals , the remainders ...
If equals be added to equals , the wholes are equal . III . If equals be added to unequals , the wholes are unequal . V. If equals be taken from equals , the remainders are equal . IV . If equals be taken from unequals , the remainders ...
Side 14
If a straight line meets two straight lines , fo as to make the " two interior angles on the fame fide of it taken together " less than two right angles , these straight lines being con" tinually produced , fhall at length meet upon ...
If a straight line meets two straight lines , fo as to make the " two interior angles on the fame fide of it taken together " less than two right angles , these straight lines being con" tinually produced , fhall at length meet upon ...
Side 69
F any two points be taken in the circumference of a circle , the ftraight line which joins them fhall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ; the ftraight line drawn from A to B ...
F any two points be taken in the circumference of a circle , the ftraight line which joins them fhall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ; the ftraight line drawn from A to B ...
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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