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894 [Doc. 313.
SWEDENBORG’S WRITINGS.
which he discussed at greater length in Daedalus, Part V. After
treating of Algebra he explains the principles of the Differential
Calculus, and then passes to a discussion of the Integral Calculus.
The author now sums up the analogies and ratios presented by
numbers, and then passes to the analogies and ratios furnished by
geometry. These he studies as presented, 1. In lines, and especially
in triangles, 2. In the circle, 3. In the ellipse, 4. In the parabola,
5. In the cubical parabola, 6. In the hyperbola, 7. In the equilateral
hyperbola, 8. In the cycloid, 9. In the spiral line, and 10. In logarith
mical curves.
1718. (17.) Försök at finna östra och vestra lengden igenom
Månan, som til the Lärdas ompröfvande framställes (Attempt
to find the east and west longtitude by the moon, set
forth for the judgment of the learned). Upsal, Werner ;
38 pages, 8vo.
This is a second and enlarged edition of the tract published under
the same title in the Daedalus Hyperboreus, no. IV. Sweden
borg himself says concerning it in Document 79, "I have also several
other matters, and among them a more thorough explanation of the
method of finding the longitude of places ; in the calculation of
which I have gradually acquired greater facility." It was printed
about the beginning of June, 1718; for under that date the author
says in Document 80, that "he left the ’ Attempt to find the
longitude,’ on the King’s table, when he sat and perused it for a
considerable time." In its enlarged form Swedenborg dedicated this
treatise to Edmund Halley,55 Professor in the University of Oxford.
This little treatise was very favourably reviewed by the Acta
Literaria Sueciæ for 1720. On pp. 27 to 33 it is subjected to a
most thorough analysis, and the editors declare that it is superior
to all other solutions of this problem, which have been hitherto
attempted. Prof. Quensel of Lund stated some objections to this
method on p. 270; but a friend who, during the absence of Sweden
borg, wrote a reply which was published on pp. 315 to 317, stated
that these objections were well known to Swedenborg, and fully
answered by him in the Swedish edition of 1718 ; although they were
not inserted in the Latin edition of 1721, which was the only edition
known to Prof. Quensel.
The Acta Eruditorum for 1722, published in Leipzig, speaks
also highly of this little work, of which they give a thorough analysis
on pp. 267 to 270. Among other things the editors say, that “the
author of this method is Emanuel Swedenborg, a most distinguished
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