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 CorrectedP. Wogan, 1803 - 520 sider |
Inni boken
Resultat 1-5 av 81
Side 6
... taken for granted , that thofe folid Angles are equal to one- another which are contained by plane Angles of the fame Num- ber and Magnitude , placed in the fame Order ; but neither is this univerfally true , except in the Cafe in which ...
... taken for granted , that thofe folid Angles are equal to one- another which are contained by plane Angles of the fame Num- ber and Magnitude , placed in the fame Order ; but neither is this univerfally true , except in the Cafe in which ...
Side 9
... taken , See N. the ftraight line between them lies wholly in that fuperficies . VIII . " A plane angle is the inclination of two lines to one another See N " in a plane , which meet together , but are not in the fame " direction . " IX ...
... taken , See N. the ftraight line between them lies wholly in that fuperficies . VIII . " A plane angle is the inclination of two lines to one another See N " in a plane , which meet together , but are not in the fame " direction . " IX ...
Side 13
... taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remainders are unequal . VI . Things which are double of the same , are equal to one ...
... taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remainders are unequal . VI . Things which are double of the same , are equal to one ...
Side 14
... taken together " less than two right angles , thefe ftraight lines being con- " tinually produced , shall at length meet upon that fide on " which are the angles which are less than two right angles . " See the notes on Prop . 29. of ...
... taken together " less than two right angles , thefe ftraight lines being con- " tinually produced , shall at length meet upon that fide on " which are the angles which are less than two right angles . " See the notes on Prop . 29. of ...
Side 69
... taken in the circumference of a circle , the ftraight line which joins them fhall fall within the circlé . Let ABC be a circle , and A , B any two points in the cir cumference ; the ftraight line drawn from A to B fhall fall within the ...
... taken in the circumference of a circle , the ftraight line which joins them fhall fall within the circlé . Let ABC be a circle , and A , B any two points in the cir cumference ; the ftraight line drawn from A to B fhall fall within the ...
Andre utgaver - Vis alle
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Robert Simson Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fide BC fides fimilar fince firft firſt folid angle fome fore fphere fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt parallel parallelogram parallelopipeds perpendicular polygon prifms propofition proportionals pyramid rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe tiple triangle ABC vertex wherefore