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 Corr |
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Resultat 1-5 av 46
Side 13
... double of the same , are equal to one another . VII . Things which are halves of the fame , are equal to one another , VIII . Magnitudes which coincide with one another , that is , which exactly fill the fame space , are equal to ...
... double of the same , are equal to one another . VII . Things which are halves of the fame , are equal to one another , VIII . Magnitudes which coincide with one another , that is , which exactly fill the fame space , are equal to ...
Side 40
D the bafe BC be terminated in the fame point D ; it is plain that each of the parallelograms is double a of the triangle BDC ; and they are therefore equal to one another . € 2. or 3 . Ax . d 19. 1 . € 4.
D the bafe BC be terminated in the fame point D ; it is plain that each of the parallelograms is double a of the triangle BDC ; and they are therefore equal to one another . € 2. or 3 . Ax . d 19. 1 . € 4.
Side 43
IF [ F a parallelogram and triangle be upon the fame bafe , and between the fame parallels ; the parallelogram fhall be double of the triangle . Let a 31. I , b 38. Ii Book I. a 37. I. b 34. I. a 10. OF EUCLID . 43.
IF [ F a parallelogram and triangle be upon the fame bafe , and between the fame parallels ; the parallelogram fhall be double of the triangle . Let a 31. I , b 38. Ii Book I. a 37. I. b 34. I. a 10. OF EUCLID . 43.
Side 44
But the parallelogram ABCD is double b of the triangle ABC , because the diameter AC divides it into two equal parts ; wherefore ABCD is . alfo double of the triangle EBC . Therefore , if a parallelogram , & c . Q. E. D. B PROP . XLII .
But the parallelogram ABCD is double b of the triangle ABC , because the diameter AC divides it into two equal parts ; wherefore ABCD is . alfo double of the triangle EBC . Therefore , if a parallelogram , & c . Q. E. D. B PROP . XLII .
Side 49
I. they are upon the fame base BD , and between the fame parallels , BD , AL ; and the fquare GB is double of the triangle FBC , because ... But the doubles of equals are equal h to one another : Therefore the parallelogram BL h 6.
I. they are upon the fame base BD , and between the fame parallels , BD , AL ; and the fquare GB is double of the triangle FBC , because ... But the doubles of equals are equal h to one another : Therefore the parallelogram BL h 6.
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The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid fore four fourth fquare fquare of BC ftraight line given angle given in fpecies given in pofition given magnitude given ratio given ſtraight line greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reaſon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole
Bibliografisk informasjon
| Tittel | 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 Corr |
| Forfatter | Euclid |
| Utgiver | E. Wingrove, London, and J. Balfour, Edinburgh, 1793 |
| Original fra | Harvard University |
| Digitalisert | 17. apr 2019 |
| Lengde | 520 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |