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 11
... four ftraight lines . XXIII . Multilateral figures , or polygons , by more than four ftraight lines . XXIV . Of three fided figures , an equilateral triangle is that which has three equal fides . XXV . An ifofceles triangle , is that ...
... four ftraight lines . XXIII . Multilateral figures , or polygons , by more than four ftraight lines . XXIV . Of three fided figures , an equilateral triangle is that which has three equal fides . XXV . An ifofceles triangle , is that ...
Side 12
... four fided figures , a fquare is that which has all its fides . equal , and all its angles right angles . XXXI . An oblong , is that which has its angles right angles , but has not all its fides equal as all its fides equal , but its ...
... four fided figures , a fquare is that which has all its fides . equal , and all its angles right angles . XXXI . An oblong , is that which has its angles right angles , but has not all its fides equal as all its fides equal , but its ...
Side 13
... four fided figures befides thefe , are called Trapeziums . XXXV . Parallel ftraight lines , are fuch as are in the fame plane , and which , being produced ever fo far both ways , do not meet . Book I. LE POSTULATES . I. ET it be granted ...
... four fided figures befides thefe , are called Trapeziums . XXXV . Parallel ftraight lines , are fuch as are in the fame plane , and which , being produced ever fo far both ways , do not meet . Book I. LE POSTULATES . I. ET it be granted ...
Side 25
... four right angles . COR . 2. And confequently that all the angles made by any number of lines meeting in one point , are together equal to four right angles . PROP . Book I. a . 10. I. b . 15. I. OF EUCLID . 25.
... four right angles . COR . 2. And confequently that all the angles made by any number of lines meeting in one point , are together equal to four right angles . PROP . Book I. a . 10. I. b . 15. I. OF EUCLID . 25.
Side 37
... four right angles , are equal to twice as many right angles as the ngure has fides . For ABCDE can be divided into as many triangles as the figure has fides , by drawing ftraight lines from a point F within the figure any rectilineal ...
... four right angles , are equal to twice as many right angles as the ngure has fides . For ABCDE can be divided into as many triangles as the figure has fides , by drawing ftraight lines from a point F within the figure any rectilineal ...
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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