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 Restored : Also the Book of Euclid's Data, in Like Manner CorrectedJ. Nourse, London, 1781 - 520 sider |
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Side 6
... taken for granted , that thofe folid Angles are e- qual to one another which are contained by plain Angles of the fame Number 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 e- qual to one another which are contained by plain Angles of the fame Number 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 ...
... 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 ...
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 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 ...
Side 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 ...
... 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 ...
Side 69
... 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 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 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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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
Vanlige uttrykk og setninger
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fides BA 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 oppofite parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals pyramid Q. E. D. PROP rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC vertex wherefore