Nine Geometricall Exercises

may be solved by (almost) any of those Canons or Tables ; was the occasion of the omiflion of such Tables here at present. But chiefly,

because there is intended (in some short time) to be Printed,) A CANON of Artificial Sines and TANGENTS,

both Seragenary and Centecimal; differing from any yet Extant; it supplying both ways of Numeration at one view, and yet in the same Room: And to this CANON shall be Added Ten CHILIA DS of LOGARITHMS commodiously Contracted ; and the Use thereof in Logarithmical Arithmetick.

Thus having given the Reader à General Account in this Preface, I refer him to a more Particular in the following Contents, and fo leave him to the Practice of them : In which I wish him good suceess; and till he hears farther from me, bid him Farewell.

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9 II 13 20

For
che given Poinc
fame
from N to O,
Mans 8 is
co D E.
EC, intercepted
E and D;
Arcb E Dis;
The Angle BPO
Diftin&t
contrived :
1 Sun <s:
Measure is oo,

T2,

52
52
52
59
63
69
95
11ο
III
III
142
144
ibid
148
ISI
164
196
279
281
282
282
287
ibid.
297

5 14 16 17 30

I 17. 29 37 15 16 23 29 ib. 21 14.

I ult 23 22

2 16

and 'T,
of R, S, P, T.)
draw a Line L,
also b, an
Angle at F,
From A G to
of the
Plain Triangles
Point B :
Hour
26 de.
23.25
Declinacion
Reclination 120
is to be most
Problems and
6.50 deg.
MPO of A B,
6.so de.
BTE.

Read
the given Point P.
same
from Mro O,
Means 8 in 8 is
tO A E.
EF, intercepted
E and F;
Arch E Fis;
The Angle PBG
Disjun&t.
continued :
Sum <.s:
Measure is Qx,
Q2
and Q
of R, A, P, T.)
draw a Line L b,
also an
Angle at D,
From G to
The
Spherical Triangles
Point in B :
Hours
36 de.
23:35
Reclination
Reclination 20
is most
Problems in
5.50 deg.
M P of A B,

308 327

8 37 ult 32 2 8

328

5.50 de..

330
347

BFE.

Figures in the Margins Omitted, or Misplaced. Page 7.Against

Probl.I. put Fig.VIII. and against Prob. II. put Fig.IX. in the Margir..
Page 9. Against Probl. V. pur Fig. XIII. in the Margin.
Page 20. For Fig. XXXIV. pur Fig. XXXVII. in the Margin.
Page so. For Fig. VI. puc Fig. XII. in the Margin.
Page 89, 90. 91. Fig. XXXI, in the Margin, must be Fig. XXXII.
Page 274. Fig. LIII. in the Margin, is omitted
Page 285, and 286. for Fig. LIX. read Fig. LVIII. in the Margin.
Page 53. The three last Lines are thus to be read:
В А.С

One Right Angle, and Two Achte.
The Triangle {BDC}hach Two Obruse, and One Right.
CDE
One Obruse, and Two Acute..

CON

Part I. The K EY,
Of G E O M E IR T.

And therein of

Efinitions.

Practical Problems Theorems

From Page i to Page 7

7 to 17

18 to 27

"DE FINITIONS

38.to 43

Part II. The GATE, Of TRIGONOMETRI.

And therein of

From Page 29 to Page 32

Sines, 2. Right-Lines applied Tangents, to a Circle, Secants,

32 to 38 (Their Construction 3. The Affections of Right-lined, or Plain Triangles 4. The Mensuration (or Solution) of Plain Triangles 43 to 50 5. SPHERICAL TRIÁNGLES, Definitions, Theorems, }

soto 56 Aflections of Great Circles of the Sphere, in order to} 56 to 60

of 6. The Solution of Right-Angled Spherical Triangles bo to 68 7. Oblique-Angled Spherical Triangles, and Prenotions con

cerning them 8. The Solution of them 9. Oblique Angled Spherical Triangles, Resolved without regard had to a Perpendicular

84 to 96 10. Tri.

68 to 70

70 to 83

10. Trigonometical Problems Extraordinary

96 to 105

1. Spherical Triangles Geometrically performed, ly Projecting

of the Sphere in Plano

106 to 114

12. Spherical Trigonoinetry, Instrumentally Performed several