 About 4,400 results  books.google.com AB C sin (ab) Bm_8m___=COg_ J_ Four out of the six binary combinations of
these four equations give by simple division Napier's Analogies, a term which
seems almost equally appropriate to designate Delambre's formula;. It need
hardly ... 

 books.google.com In his second way, Delambre makes use of a diagram from which he obtains both
his own Analogies and those of Napier. This way of demonstration is
substantially the same as that which was independently discovered and printed
in the ... 

 books.google.com Note 2. Delambre's Analogies can also be deduced by help of Napier's
Analogies. (See Todhunter, Spherical Trigonometry, Art. 54 ; Nature, Vol. XL. (
1889, Oct. 31), p. 644.) Note 3. On the other hand, Napier's Analogies can be
easily derived ... 

 books.google.com Note 1. Equations (3) and (4) can also be derived by applying (1) and (2) to the
polar triangle. Note 2. Delambre's Analogies can also be deduced by help of
Napier's Analogies. (See Todhunter, Spherical Trigonometry, Art. 54 ; Nature, Vol
. XL. 

 books.google.com Napier's analogies may be inferred from Delambre's by division. Delambre's
analogies were discovered by him in 1807, and published in the Connaissance
des Temps for 1809, p. 443. They were subsequently discovered independently
by ... 

 books.google.com In a similar manner we may also establish the truth of Delambre's Analogies,
otherwise known as Gauss's Equations, viz. : — sin £(A + B) cos \{a  b) _ cos £ C
— cos \ c ' sin j(AB) sin K«~6). cos £ C sin £ e ^ cosKA+B) cogfr(a+6), (c). (4) sin
+ ... 

 books.google.com These equations are often described as Gauss' analogies, but their discovery is
really due to Delambre*. As Delambre's analogies are more convenient for
logarithmic calculation than (1), (2), (3) and (4), (5), (6), they are often preferred
for the ... 

 books.google.com These results will be of use in subsequent chapters. 16. Delambre's and Napier's
analogies. For reference, we give the following formulae, originally due to
Delambre, and known as Delambre's analogies: sin Jcsin \ (A — B) = cos $£ sin £
(a ... 

 books.google.com B) _sin ^(a+6) ^ sin 5O sin £c The above four formulae are known as Delambre's
analogies and were obtained by him in 1807, though published afterwards in
Connaissance des Terns., 1809, p, 443s Sometimes they are improperly called ... 

 books.google.com ... 107—1 12 other, sometimes used, 27 Fundamental elements of angle, 21
Fundamental identities, examples, 81, 82 grouped, 71, 72 need for, 72
Fundamental scale of slide rule, defined, 190 G Gauss's equations or Delambre's
analogies ... 

 