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 367
... given in magni- tude , when equals to them can be found . II . A ratio is faid to be given , when a ratio of a given ... position and magnitude . IX . A magnitude is faid to be greater than another by a given magnitude , when this given ...
... given in magni- tude , when equals to them can be found . II . A ratio is faid to be given , when a ratio of a given ... position and magnitude . IX . A magnitude is faid to be greater than another by a given magnitude , when this given ...
Side 387
... given in position cut one another in the point E ; the point E is gi- ven . A Because the lines AB , CD are given in pofition , they have always the fame fituation , and therefore the point , or points in which they cut one another have ...
... given in position cut one another in the point E ; the point E is gi- ven . A Because the lines AB , CD are given in pofition , they have always the fame fituation , and therefore the point , or points in which they cut one another have ...
Side 388
... given in po- fition and magnitude be given ; the other extremity fhall also be given . Let the point A be given , to ... position . PROP . PROP . XXXII . TE a ftraight line be drawn 388 EUCLI D's.
... given in po- fition and magnitude be given ; the other extremity fhall also be given . Let the point A be given , to ... position . PROP . PROP . XXXII . TE a ftraight line be drawn 388 EUCLI D's.
Side 389
... given point in a straight line given in pofition , and makes a given angle with it ; that straight line is given in pofition . Let AB be a ftraight line given in position , and C a given point in it , the straight line drawn to C , which ...
... given point in a straight line given in pofition , and makes a given angle with it ; that straight line is given in pofition . Let AB be a ftraight line given in position , and C a given point in it , the straight line drawn to C , which ...
Side 391
... given magnitude which can be drawn from a given point A to a ftraight line BC given in position . PROP . XXXV . 32 . IF Fa ftraight line be drawn between two parallel straight lines given in pofition , and makes given angles with them ...
... given magnitude which can be drawn from a given point A to a ftraight line BC given in position . PROP . XXXV . 32 . IF Fa ftraight line be drawn between two parallel straight lines given in pofition , and makes given angles with them ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
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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