tO

Probi emat um quor unciam Mathematicorum.

Praxis Geometrica est facil-lima, & patet in Schemate,

Fig. 26 .

'Ihe Geometrie al eß 4 }chonb Ivery e as e , a ad appeares intb e \Schern s.

Piat A B 30 />?erit B C ^q. ’ l> />?Sit B F q. so 2 a a q. . ^B D so * b^ 8 c B E 3 0 b. ^ \,h A^Erit E P so b V^ bb -f-'s **'cui in directum adjiciaturF G so y/. x a-V\ b /-.Erit E G ao ^

a a >

-f- 4 b b -{- 1 >. y/ ^ b b -j- 1 *

* *, qua cognita compleatur niauguliim Schemati coii'

eruum.

O

Prob l e m a XIX.

triangulo plano reB angulo.Dato perpendiculo una cumaggrega’0 basis , duplaLypotcnuJa invenire ipsas ,tum hypotenufam tum basim,

Problem XIX.

In a right angled triang^there are given the perpes'dicular, the fumos the baf c& double the subtense. Th eiubtense tk bafe are sought-

Puta factum Sc sit basis quaesita.Sit basis a. Erit

a a

+

^ d d 111 - a a — 2 d a

vel

ipa a-\~ q.b b & d dMr aa — i da , & demptis utrinque aB A <*■+ 4 ^ 30 dd — 2 d a, Sc ^ ^ r ^

^aa + z d aio dd — 4^^ vel .

a a’ 3 *' 1 d a d d — ^.b b Sc -/ 4^4-^ —^bb

1 . ? v ~ ~sT f“

1 , ^ /\d d — 11 bb x

- oo a ■);

minus

yd

cl 00

A

Praxis in numeris,rim 14b 30 3

d doo 196hh&> 9

4 d d 30 78412 b 1,30 108

Differentia *> *-f