CONTENTS 
OF 
MATHEMATICS AND ASTRONOMY. 
(The numbers refer to the bottom paging of the text.] 
PAGE 
MarHEMATICS, : : ; : 1 
I. Planimetry, or Pine Gdinkotey: ; - : ° 2 
1. General Ideas, F - - 2 
2. Of the position of straight Hines in the same ‘iano; : ° + 
3. Of the equality of figures, . : : . : 5 
4. Of the similarity of figures, . ; : - - : a 
5. Of the equivalence of areas in figures, : - : : 8 
6. Of the circle and its measurement, . F - . |. KO 
Il. Stereometry, or the Geometry of Solids, - ° : «3 
1. Of the position of lines and planes in space, . ° : 2 ls 
2. Of angular solids, .. : : ‘ : = ee 
3. Of round bodies, ‘ ‘ 3 - a oS 
III. Trigonometry, or the ee of ee f - - Eee 7 
1. Plane Trigonometry, i ‘ F 3 : bea «Mad 
2. Spherical Trigonometry, : ° : o' | 20 
IV. Higher Goomeay. or Geometry of Gurves, : : : eic2e 
V. ae Geometry, é wits : . 5 es 
| 1. Geodesy, or Surveying, : : : : 20 28 
2. Descriptive Geometry, : A : ° : ou oe 
A. Projection, ies - a 
a. Projection in vertical ‘ia horizontal stim : 34 
b. The reticulation of bodies, and the unfolding and ese tipariend of 
surfaces, : : , Be AT 
B. Projection of Shadows, . 43 
a. Shades and shadows upon — Hivbans and cur ‘ied oui of 
elevation, . : ae 
b. Shades and shadows upon Faille ssh th curved surfaces, 48 
C. Linear Perspective, 50 
VI. Of the most important mathematical bind surveying Instruments, » ) oe 
ASTRONOMY, | . ; ; : ; : PS 
I. Spherical Astronomy, . 76 
The Armillary Sphere; the nite en sisters aes and tema in the 
Celestial Sphere, 3 ‘ ' ; ; es 
