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 10
... angle at a point , it may be expreffed by a letter placed at that point ; as the Angle at E. ' X. When a ftraight line ftanding on ano- ther ftraight line makes the adjacent angles equal to one another , each of the angles is called a right ...
... angle at a point , it may be expreffed by a letter placed at that point ; as the Angle at E. ' X. When a ftraight line ftanding on ano- ther ftraight line makes the adjacent angles equal to one another , each of the angles is called a right ...
Side 12
... right angle . XXVIII . An obtuse angled triangle , is that which has an obtuse angle . A XXIX . An acute angled triangle , is that which has three acute angles ... angles right angles . XXXI . An oblong , is that which has its angles right ...
... right angle . XXVIII . An obtuse angled triangle , is that which has an obtuse angle . A XXIX . An acute angled triangle , is that which has three acute angles ... angles right angles . XXXI . An oblong , is that which has its angles right ...
Side 22
... right angles to a given straight line , from a given point in the fame . T & a Let AB be a given ftraight line , and C a point given in it ; it is required to draw a straight line from the point C at right angles to AB . F Take any ...
... right angles to a given straight line , from a given point in the fame . T & a Let AB be a given ftraight line , and C a point given in it ; it is required to draw a straight line from the point C at right angles to AB . F Take any ...
Side 23
... angle CHF is equal to the angle CHG ; and they are adjacent angles ; but when a ftraight line standing on a ftraight line makes the adjacent angles equal to one ano- ther , each of them is a right angle , and the ftraight line which ...
... angle CHF is equal to the angle CHG ; and they are adjacent angles ; but when a ftraight line standing on a ftraight line makes the adjacent angles equal to one ano- ther , each of them is a right angle , and the ftraight line which ...
Side 24
... right angles , or are together equal to two right angles . For , if the angle CBA be equal to ABD , each of them is a A D B D E A B C b II . I. c 2. Ax . a def . fo . right angle ; but , if not , from the point B draw BE at right angles ...
... right angles , or are together equal to two right angles . For , if the angle CBA be equal to ABD , each of them is a A D B D E A B C b II . I. c 2. Ax . a def . fo . right angle ; but , if not , from the point B draw BE at right angles ...
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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