EE 
584 - 
Spherical Trigonomety, and a Treatife on 
Praétical Geometry ; the whole forming 
a work, which will be found highly’ be- 
neficial to mathematical ftudents. 
Mr. FREND has publifhed a fecond 
part of his “ Principles of Algebra; or, 
~the True Theory of Equations eftablifh- 
ed on Mathematical Demonftrations.”’ Al- 
though, among the many innovations 
which Mr. Frend has introduced, there 
are fome, which better judges than we 
profefs to. be; confider at beft but nugatory; 
we believe there are not two opinions as to 
the high excellence of the prefent, as an ele- 
mentary book: it is univerfally regarded 
asa moft ingenious and ufeful treatife, 
- where the fcholar is led along in an eafy 
and dire&t road, from the fimple to the 
more complex parts of Algebra. 
Francis MasERrES, Eig. has publith- 
ed “* Traéts on the Refolutions of Affeét- 
ed Algebraic Equations, by Dr. Halley’s, 
Mr. Ralphfon’s, and Sir Ifaac Newton’s 
Methods of ‘Approximation:”” many of 
thefe valuable tratis, now collected into 
one volume, have appeared in former pub- 
lications. 
‘* Fafciculus Aftronomicus ; containing 
Obfervations of the Northern Circumpolar 
Regions; together with fome Account of 
the Inftrument with which they were 
made ; and a new Set of Tables, by which 
they were reduced to the mean Pofition for 
the beginning of ~January, 1800: to 
which are added a few other Papers and 
Precepts, which, it was imagined, might 
be acceptable to the Praétical Aftronomer, 
by Francis Wotuaston, F. R. S.” 
Dr. Wollafton, on a former occafion, had 
propofed, that aftronomers fhould agree cn 
fome regular plan .of obferving the hea- 
vens : 
which beft fuited him, and communicate 
the refult of his obferyations to one 
common fieck. Dr, Wollafton conftru&- 
ed an infirument (a delcription of which 
was read before the Royal Society), for 
the purpofe of executing with greater fa- 
cility his own part of the fcheme ; with 
this infirusment he obferved the circumpo- 
lar region, and has publifhed, in the prefent 
Fafciculus, the refult of his obfervations. 
«© A Treatife on Plane and. Spherical 
Trigonometry ; with an Introduétion, ex- 
plaing the Nature and Ufe of Logarithms: 
adapted to the Ufe of Students in Philofo- 
phy, by the Rev. S. Vince, A. M. 
F. R. §. Plumian Profeffor of Aftronomy 
and Experimental’ Philofophy.” } 
withftanding the evidence which this work 
affords of Profeffor Vince’s mathematical 
acutenels, it is not altogether fo well 
that each fhould take the porticn 
Not- - 
- Retrofpelt of Dom-ftic Literature—Fine Arts, 
‘‘ adapted to Ufe ef Students in Philofe- 
phy,”’ as the author wifhes and imagines - 
it tobe; fome of the definitions are lax 
and inaccurate; the arrangement of the 
work is immethodical; and the want of 
an index, table of contents, and a divifion 
into heads, chapters, or feétions, renders 
it extremely troublefome as a book of’ re- 
ference. Hint rile 
a FINE ARTS. 
A fecond part has been fome time before 
the public, of that magnificent | work, 
“¢ the Antiquities of Ionia,” publithed by 
the Society of Dilettanti. Mr. R: Payne. 
KNiGuHT, in an elegant Prefatory Ad- 
drefs, obferves, that as in the former vo-’ 
lume of this work, fpecimens had been of= 
fered of the luxuriant architecture of the 
Afiatic Greeks, fo in the prefent are pre- 
fented thofe of the more chafte and fimple 
ftyle, which prevailed in Greece itfelf, and 
in its European colonies. Of this ftyle. 
of architeéture, commonly called Doric, 
but which, fays our author, might more. . 
properly be called Grecian, as being the 
only ftyle employed either in Greece, or 
its European colonies, prior to the Mace- 
donian conquefts, Mr. Knight has traced 
the firft principics, and in a conc¢ife and 
elegant manner explained the origin. The 
body of the prefent volume confilts of three 
chapters, V. VI. and VII. The fifth 
chapter exhibits, together with views, 
plans, and architectural ornaments, Ac- 
counts of aRuin near the Port of Agina— 
of the Temple of Jupiter Pallenienus— 
Temple of Mincrva, at Sunium—Temple - 
of Jupiter Nemzeus, near Argos—and of 
the Temple of Ceres, at Eleufis.. Chap- 
ter VI. includes—Arch at Mylafla—Se- 
pulchre at Mylafla—Column of a Tem- 
ple—Ruins at Bafa—Theatre at Stratoni- 
cea—Gymnafium at Ephefus—Fragment 
of a Temple—Theatre at Miletus—Sta- 
dium at Laodicea—Gymnafium at Troas 
—Theatre at Jaffus—Theatre at Patara 
—Theatre at Caftell Roflo—Theatre at 
Telmeffus. “ Chapter VII. contains an 
explanation of the vignettes which enrich 
this very fuperb ‘publication, in ‘addition 
to fifty-nine other copper-plates. * The 
Vignettes reprefent an ivory teffera, with - 
the name of she ‘poet fe{chylus defcribed , 
on it—a terfzra or ticket of admiffion to - 
_the eleventh row of thofe feats in the an- 
cient theatre, which included the cavea or 
pit—and another of bronze, bearing, in 
_Yelief, the words Anjzoeiov oydocv, or admif- 
ficn to the eighth cuneus on the feats ap- 
propriated to the citizens. There are 
alfo reprefentations of the medals of Atgi- 
na and Eleufis; of a fiiver medal have 
3 * i 2 5 rn; 3 a 2 . E e 
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