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 CorrectedP. Wogan, 1803 - 520 sider |
Inni boken
Resultat 1-5 av 46
Side 13
... double of the same , are equal to one another . VII . Things which are halves of the fanie , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the fame space , are equal to one ...
... double of the same , are equal to one another . VII . Things which are halves of the fanie , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exactly fill the fame space , are equal to one ...
Side 40
... double a of the triangle BDC ; and they are therefore equal to one another . But , if the fides AD , EF , oppofite B a D F to the bafe BC of the parallelograms ABCD , EBCF , be not terminated in the fame point ; then , be- cause ABCD is ...
... double a of the triangle BDC ; and they are therefore equal to one another . But , if the fides AD , EF , oppofite B a D F to the bafe BC of the parallelograms ABCD , EBCF , be not terminated in the fame point ; then , be- cause ABCD is ...
Side 43
... c . Q. E. D. IF PROP . XLI . THEOR . a parallelogram and triangle be upon the fame base , and between the fame parallels ; the parallelogram shall be double of the triangle . Let Book 1 . a 37. I b 34. I. a OF EUCLID . 43.
... c . Q. E. D. IF PROP . XLI . THEOR . a parallelogram and triangle be upon the fame base , and between the fame parallels ; the parallelogram shall be double of the triangle . Let Book 1 . a 37. I b 34. I. a OF EUCLID . 43.
Side 44
... double of the triangle EBC . a A DE Join AC ; then the triangle ABC is equal to the triangle EBC , because they are upon the fame bafe BC , and between the fame parallels BC , AE . But the parallelogram ABCD is dou- ble of the triangle ...
... double of the triangle EBC . a A DE Join AC ; then the triangle ABC is equal to the triangle EBC , because they are upon the fame bafe BC , and between the fame parallels BC , AE . But the parallelogram ABCD is dou- ble of the triangle ...
Side 49
... double of the triangle FBC , because these alfo are upon the fame bafe FB , and be- tween the fame parallels FB , GC . , But the doubles of equals are equal to one another : Therefore the parallelogram BL1 6. Ax . is equal to the fquare ...
... double of the triangle FBC , because these alfo are upon the fame bafe FB , and be- tween the fame parallels FB , GC . , But the doubles of equals are equal to one another : Therefore the parallelogram BL1 6. Ax . is equal to the fquare ...
Andre utgaver - Vis alle
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Robert Simson Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fide BC fides 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 muſt parallel parallelogram parallelopipeds perpendicular polygon prifms propofition proportionals pyramid rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe tiple triangle ABC vertex wherefore