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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Side 64
... let fall the perpendicular a AD from the oppofite angle : The fquare of AC , oppofite to the angle B , is less than the fquares of CB , BA by twice the rectangle CB , BD . A Firft , Let AD fall within the triangle ABC ; and becaufe ...
... let fall the perpendicular a AD from the oppofite angle : The fquare of AC , oppofite to the angle B , is less than the fquares of CB , BA by twice the rectangle CB , BD . A Firft , Let AD fall within the triangle ABC ; and becaufe ...
Side 85
B Take F the centre of the circle ABCD : And , firft , let the fegment BAED be greater than a femicircle , and join BF , FD : And because the B angle BFD is at the centre , and the angle BAD at the circumference , and that they have the ...
B Take F the centre of the circle ABCD : And , firft , let the fegment BAED be greater than a femicircle , and join BF , FD : And because the B angle BFD is at the centre , and the angle BAD at the circumference , and that they have the ...
Side 88
Bifecta AC in D , and from the point D draw b DB at right angles to AC , and join AB : Firft , let the angles ABD , BAD be equal to one another ; then the straight line BD is equal c to DA , and therefore to DC ; and because the ...
Bifecta AC in D , and from the point D draw b DB at right angles to AC , and join AB : Firft , let the angles ABD , BAD be equal to one another ; then the straight line BD is equal c to DA , and therefore to DC ; and because the ...
Side 120
When of the equimultiples of four magnitudes ( taken as in the fifth definition ) the multiple of the firft is greater than that of the fecond , but the multiple of the third is not greater than the multiple of the fourth ; then the ...
When of the equimultiples of four magnitudes ( taken as in the fifth definition ) the multiple of the firft is greater than that of the fecond , but the multiple of the third is not greater than the multiple of the fourth ; then the ...
Side 122
... and as many others , fo that they are proportionals when taken two and two of each rank , and it is inferred , that the firft is to the last of the first rank of magnitudes , as the first is to the last of the others : Of this there ...
... and as many others , fo that they are proportionals when taken two and two of each rank , and it is inferred , that the firft is to the last of the first rank of magnitudes , as the first is to the last of the others : Of this there ...
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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 |