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Perfpeétiv~

P E.R S P

'E

C T IV

JE

LIBER SECUN,DUS.

Ichnqgraphia Projeéta.

le

t:ber,

fla~t

&

feq11entes totUJ

pr~élicUJ

ef¡'

c~mm1tnefq11e

pr11xes..fx pr11f,1p:.

,

pojitu propojittombru demon.flr11t. f2.!!_ta autcm 11t Jam[upra monui, eo {ere ordine

procedit perj}eEliva fcienti11, r¡uo Archite{/onica,r¡tt&

a

fandamenta incipiJ; pri–

mo omnem tchnogr11phiam Geometricam

,

in tabe!U perJJeaiv'e delineal'e dolebo,

qr111 methodU1 fao!lima videtM, lícet in aliqrub¡u cajib1H al1quanto longior vi-

de11tttr. Totru igitur hic liber circaplana hmzontalia ocwpabitttr,pr11cip11e vero illud

cui

tabe//,,

i¡¡fijlit, !icet eti11m method11m oper11ndi, in 11li11 pl11nio ipji para!!elio ,Jive infra, jivefi1pra p1m–

llttm principale ppjitu jim indicattmu. Clari:fimttm alltem ejl,plana horizoJ'/talia infra prmElrtm'

viSJ2s pojittrfaciem fuperiorem nobú exhibere, q1111 ver'ii fr1pra p11nélrtm principale

,

&

confequen–

terfrpra ocul11m, eflendere inferiorem faciem. lndtc11bo etiam omnes praxes plani horizont11lit,

pl11nfr verticalibUJ, immo

&

ommb& ad tabellfm reftis applícari pojfe.

Pt

ver'¡¡ praxes

tjl

"-

'11dh11c 1miverfalioru reddantllf, not11nd11m

ejl

non tant11r» corpora, q1111.

vert

&

realiter eidem horizomali plano infifltmt,

rni

tabella inwmbit, h11bentqr1e in eo, alíqrwn

ut ita dic11m plantam; fed ea etiam qu11 ab eo longius drjlant

,

aut in aere fum pend1fl11

,

poffe

11/ir¡r1111nfi[/itiam h11bere ptanlttm, ita

fil

cog,iffnt(ir demitti

a

Jingulis somm ang11lis 11liq1111 per–

vendimtarcs,1tfq11e ad planum horizontale. rtJi Jint corp11< fa!id11m •ABC

D,

pojfimt cugitari ex

D

Ji11g11lis 11ng1tlis ABCDEF, demitti linelfl perpendirnlares AH,

E K,

EJ,BO, &c. qru inplanofrebjcélo jig111am formab11nt AH

JO,

q11lfl

mt

bajis corporiJ

AC,

in eo jitu coltocati.

C

Si corporis lchnographia pa11lo

~1ficilior

faerit,

&

íntricata,

ne~

.

cefferi11m erit, e11m prius Geometrice defcribere, cµm omnib11&

{iús

di–

mmfionib11s, pro111 jimt in

fe,

n,ut/11 habitJ ratimeperj}eEliv11. De–

inde h11c planta, bajis,

fau

lchnographia Geometrica, degradabitttr,

feu in tabellam projici&tllr. Ratio h11j11& rei

ejl,

quod 1d wjtú im11g,o

req11irit1tr mente tenend111n ejl, ji enim non probe cognit11m jit, im–

pofobile

ejl,

11t ej11s imago frmedat.

~ando

1111tem ichnographia plu–

ftmtU fine&,

&

vari~

in1ric11ta continet, difjictie

ejl,

ul

meme

te–

neat11r.

In

faciliorib11S fguris op1ts flon erit Tchnographiam GeometricAm

prir}s delineare. Determi11and11rtamen

ejl

/oms,rei exhibend11. rer6i

:!,

1

•ttia,non frefjiciet proponere defiribe?!drim q11adr11t11m in plano

horizont~li

;

(ed

prlflterea

,

áe~

termi11a11d11s

,efl

lom; ej11s, an ad dex.teram, an adJinjllram, ¡1n m11gnr1rn, an parvum, an mul–

tttm diflans

a

tabella, an pamm; mm enim commrmtter ob1eél11m frepponatflr

eJfe

pefl tabell11J11,

de~et

determim1ri 11n dij?ttum, an propinq1111m jit,{eri 11tmm m11!t1lm intr11- profimditatem tabel–

l.e

ingredi11t11r. ' Deter;ninatllS item

efl.

/oms fPe{/atoris, qttodfiiffcienter

er11jl~t11r,

not(ltO

~am

punilopmmpatt, qriamp1111llts dijlantí.f.

e

.etera 1111/em 1tfas docebi'f.

illilllllllllllllll!llll·1llllll!lll!1J1Joo·1illlliillll1lllllil1J1J1lll!lí'i!1.!111!1

D

e

E

SU P P O S I T 1 O

l.

r=:::--.....:;._---;;;_-----_::_

l

'

Problema.

Q5adrat11m dírtélt oppofi111m

defaribtrt.

Sit quádratum cujus lams AB defcribendum Ad

runétnm principale

C

ducanttir radii

A C, BC,

tte1n

•d punéh

dillamire D

&

E,

ducantur

diago-

·

.B

nales AE BD,fecantes radios in

pm1lHs

F,G.

Pll~

catur linea FG, dico faétum elfc

quod

imperabamr.

.

Demg11fua