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 CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 páginas |
Dentro del libro
Resultados 1-5 de 81
Página 6
... taken for granted , that thofe folid Angles are equal to one another which are contained by plain Angles of the fame Num- ber , and Magnitude , placed in the fame order ; but neither is this univerfally true , except in the cafe in ...
... taken for granted , that thofe folid Angles are equal to one another which are contained by plain Angles of the fame Num- ber , and Magnitude , placed in the fame order ; but neither is this univerfally true , except in the cafe in ...
Página 9
... taken , the straight 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 same See N. " direction . " IX ...
... taken , the straight 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 same See N. " direction . " IX ...
Página 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 fame , 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 fame , are equal to one ...
Página 14
... taken together " less than two right angles , these straight lines being con- " tinually produced , fhall at length meet upon that fide on which are the angles which are lefs than two right angles . See the notes on Prop . 29. of Book I ...
... taken together " less than two right angles , these straight lines being con- " tinually produced , fhall at length meet upon that fide on which are the angles which are lefs than two right angles . See the notes on Prop . 29. of Book I ...
Página 69
... taken in the circumference of a circle , the straight line which joins them fhall fall within the circle . 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 straight line which joins them fhall fall within the circle . 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 ...
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Otras ediciones - Ver todas
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Vista de fragmentos - 1803 |
Términos y frases comunes
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio fecond fegment fhall fide BC fides fimilar firft firſt folid angle fome fore 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 oppofite parallel parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore