ç8 VI. V0N t>CV Linea Reductionis Planor. et Corpor. Regularium.

Die Rechnung giebk 3 + V 5 = 5/ 2 3 6 , 3 - F* 5 = °/ 764. MithinJog 5,236= 0, 7 189996

log a + logr5, 2 36 - 4 -/ 3.594998 ]

logro ,764 -- i ./9 41 54671log F" 3 = 0, 2 385606

Jog 2 = o, 3 010300^

log 2 F'3F"(3"F';) - O, 4 ^H 373 d

Z, 8 783625

Perpendiculum Lorporis FI L = 7557 *

7 ) Sotiditas unius Pyramidis. Es ist

t T r . -A ' — 1 VARFVHI - V aT ^íl±Til - a ' r (3 + ^ 5 )

TS Icosaedn _ ? X ABFX HL - tX—— X^ r ( 3 - r5 ) " 24^(3-^;)'

Alsv Arca Figurae = 43305000

-J- Perp. Corp. = 7557: 3= 2519 _

Solid. -/ô Icosaé'dri = 109085295000

„ . a 3 rr 3 +ri) 5 a 3 rs 3-^5)

8 ) Soliditat totius Corpons ist 20X— ~ b F 3 ~ Ì~Y)

Demnach -is Icosaé'dri = 109085295000

2 o

Soliditas totius Corporis = 2181705900000

Das Dodecaëdrum Tab. V Fig. 5.

.... an

l) Radius Figurât K A ist, wie I F beym Icosaédro pig. 4,

log 2 r 2 = 4 ., 15 . 0 . 5 . 1.50

log r( 5 - K s) - o, 22 o 7 6 90

3 ,s»j 9 7 4 60

Radius Figurae K A =8506.

/ 2 a a

a) Perper.dìculum Figurât KC = T(KAq - * A B q) = F" p-pr

-)=

aro+rs) _ , . v r (3 +r o

2r(5-r 5 ) 1 X rv 5 - ^5/

Es ist 3 +F” 5= 5 / 336 , Demnach log 3+F" 5 = 0,7! 8 9996

log F"( 3 + F" 5) = 0,3 59-4998log T( 5 ~T 5) =_o i 22 ^_ 7 ^ 9 £_0,138 7308log a : 2 = 3/698 97 oo3,837 7 00 8

Perpendiculum Figurae K C =6^8 2 .

z) Smi-

!