1 - World eBook Library

More documents

Recommendations

Info

A . n t: ~ 0 N S T RAT I E. Uyt bet Centrum B met een radius na bf' .. tteven een Cirkel bef~hreven fijnde fal de regte linie CD een Dian1erer zijn van die Cirkel , om dat fy gaat door 't Centru~ B J en aan beyde kanten de CirkeI aanraekt: en daerom is CAE D een halve CirC'uO)ferentie, die • de maat uytmaekr van twe regte a Dcf. I,i hoeken. . De\vijl nu de felfde halve Circumferentie eok begrijpt den boog C E, fljnde de maat van den hoek C B E te famen met den boog· ED. de maar van den hoek E B I): fo voIgt dat de twe hoeken C B E. E B D te f~' men gclijk fijn aan dc.twc regte hoeken.
" E U CL IDE S • A., \ c D Andere' D E M 0 N S T It A 'T I E. Of E B is P~rpenfn~utaer ~p C 0 (It Diet, So zy PerpendtcUlaer IS dan ZIJD de twe hoe ... " Def. 10. ken E Be. E B D yder regt .. a So zy ni,et 'Perpendiculaer is , trekt nyt b I. I. B b de Perpendiculaer B A: fo zijn de twe hoeken 0, en P met Q,yder regc; en daer .. om de drie hoeken. o en P en Qgelijk aen twe regten J maet S is geJijk aell 0 en P. . \ Ergo zijn S et:J Qgelijk aen twe regteo. S C 1-1 0 L I U M. I-lier kan men gemackelijk defe twe vot... . aende. \'ertogen bewijij:n. 1. , ;
Page 1 and 2:
DE SES EERSTE BOEKEN DER BEGINSELEN
Page 3 and 4:
World Public Library The World Publ
Page 5 and 6:
, -, - I I : : I ' - ~ ~.~.,. -''''
Page 7 and 8: . , , -I ~ " , . . ... . ~ ~ '\ •
Page 9 and 10: " #y: 0 O. R· A F I &J a Ia k If,'
Page 11 and 12: \ V.to' O'Il~ i Ii' 8: p; ll:' Ii.
Page 13 and 14: ~. v·o _ '. & ,- ~.. .. ~ - ,.. ,.
Page 15 and 16: & EUCLIDES z. E~n lis;';1 ,en langl
Page 17 and 18: ", E 0 ct y'D E S a.Dat de buytentl
Page 19 and 20: S EUCLIDES' J gt tl4' malkafJoe,tlz
Page 21 and 22: & ,. ~ . \ ~; ~ .-. , lEU, ,C LID E
Page 23 and 24: 10 E U c ,L IDE S dat de ~egte en )
Page 25 and 26: -- r! ~-_lr -c L .. I D .. R S "'!l
Page 27 and 28: • ··1'4 E tL eLI DES Het welc1
Page 29 and 30: " ." ,~~ P. 4: "tJ·c t j .. Jj"
Page 31 and 32: ~~ ~ Ii U C L -I DES A ". . s~; E'B
Page 33 and 34: . .0 E U eLI 'D E S ... '0; telltl,
Page 35 and 36: It .:: 'E t1 C C tva s': ;. felfs v
Page 37 and 38: t~ • E· u~ eLI DES. . , . Suet ~
Page 39 and 40: , 0 • • If o· C t 10D E S . ,
Page 41 and 42: ... !. ! , . 10 E U C· L 'I DES" .
Page 43 and 44: lobl. I. Is · E U eLI D E .S ., .p
Page 45 and 46: 34 E U eLI DES D E M 0 N S T R l~·
Page 47 and 48: • 'I~ E U eLI DES .1 • .. \ het
Page 49 and 50: , . E U'C LID E S .. Corolhlrium of
Page 51 and 52: " . 40 ~ U C·L IDE S " r . .' . .
Page 53 and 54: i, .... '. 5 . EUCLIDES .. . J -3 0
Page 55 and 56: 44 E U'C L·I D~E S " n E M 0 N S T
Page 57: 4~ EUCLIDES .. '01.,. nie DE fnijde
Page 61 and 62: ',obI. I. Is' · £ U eLI D E.S 'It
Page 63 and 64: . ~ U C·L IDE S " < - . ..' . . -
Page 65 and 66: f4: . EUCLIDES Ergo bjn Q en T·yde
Page 67 and 68: {6 .. ! .. E U'C ~. IrD E~'S' S C H
Page 69 and 70: .. , t . EUCLIDES 4;, • ! Trialig
Page 71 and 72: 'EV'CLtDE'S A Auere D E M 0 N S T R
Page 73 and 74: .. ~ EUCLIDES: " BI1ft den hoek E g
Page 75 and 76: .. \ ff '~ tJ C t t D E:S '1' R 0 P
Page 77 and 78: • t ' • • 4 A ." ... ... ,- -
Page 79 and 80: E U eLI D E.S • r .A Tl&eor.I~. F
Page 81 and 82: ; '\ "I!t - . £ U ~C ~.I.· ~ E S
Page 83 and 84: .. ,." ... • #0'. 'f!j .-~' E U C
Page 85 and 86: E t1 C~f D tE~- 'n E M 0 N S T R A'
Page 87 and 88: . E ti eLI DE,S - • • A • t.
Page 89 and 90: \ . , . Uyt G en: 1-1 getrocken fij
Page 91 and 92: So· ~ ~ v ~ ~ L~ I P E.$ . D E M."
Page 93 and 94: It E ti eLI D' E S £\ . c: :R, :s
Page 95 and 96: EveLI-DES • III. De,I. c. D .11.
Page 97 and 98: E U C-~ IDE ~ , . • Thcor. :t~. .
Page 99 and 100: It~ ..... ' .. \ ·E U C ~ -I D. E
Page 101 and 102: 90 E U eLI DES C D I • By Exempel
Page 103 and 104: 92;. E u··e LID E S A B Van het n
Page 105 and 106: .. ~ b +. I. - . Triangel BED. •
Page 107 and 108: p
Page 109 and 110:
,s E U ,C. LID E S .. Maer~ den Tri
Page 111 and 112:
.. . .. EUCLIDES , • , t I ,I t
Page 113 and 114:
• loi E U eLI DES - • s Sal de
Page 115 and 116:
_ ._E tT. C ~, D ~ S~ .. , • •
Page 117 and 118:
101 E U eLI DES .. . D E M 0 N S T
Page 119 and 120:
, lor .. . .. EUCLIDES . ~.. ~ •
Page 121 and 122:
, ' .... '. ,.:-- .. 210 E U eLI D
Page 123 and 124:
irl . ' - - . . .. E U C "I, 1 DES
Page 125 and 126:
. ; . f . -, !'J4 .: EUCLIDES ....
Page 127 and 128:
!UCLIDES .. . .. L E,M M A •. Lae
Page 129 and 130:
i!t ,'~ t1 C 1; I;» E·~" - gely
Page 131 and 132:
,. . J-"h." • ••
Page 133 and 134:
J1~ £.U .. eLI DES. , • • Ergo
Page 135 and 136:
11.4 Eve LID E S genoeg is dat die
Page 137 and 138:
E U c t r D E~ ".- ;. _ ....... ; .
Page 139 and 140:
!~~ t',: ,}t;U.c J. ~ t;l £ s. \'
Page 141 and 142:
,. r . ~j~ E U: C.L I D J! S . inak
Page 143 and 144:
E-,u·e I. P DES {..., Dan is in de
Page 145 and 146:
• .. .. t ~ , ~~ .:.r ~~ ~ '! ~'t
Page 147 and 148:
. - - .. \ ~jt E . tr eLI: D e S~ .
Page 149 and 150:
I~ ~ ,~E U C- L. I D' E S I P it 0
Page 151 and 152:
! }lit - . I tt Cit ~ .D t.· ., ~,
Page 153 and 154:
o P ' it 0 ~ 0.8 I.TJ'~,E' ~. tt
Page 155 and 156:
141 E U eLI PES III Gela//cn. Laet
Page 157 and 158:
, EUCLI.DES Ergo fijn.de Quadraten
Page 159 and 160:
Ifd E U eLI DES ~ Van~tJeyde kanten
Page 161 and 162:
,. ~ SCHOI..IU M of AANMERKINGE. a
Page 163 and 164:
',obi. s. I , tO~LIDE~ , S ~ H Q L
Page 165 and 166:
, H. E T P E·R D E· . BO EK . . :
Page 167 and 168:
, ~UCLIDES· . v.· o .L '\ A B . t
Page 169 and 170:
, ,.~E'UCLIDES , x. AD , B •• .
Page 171 and 172:
... '" . . Icb . 'E' tf C L-I
Page 173 and 174:
• s. I. EU.C·LJ·DES, . D E M 0
Page 175 and 176:
.• ..1 \ e I ;, t lJiilA.~,~f~: P
Page 177 and 178:
'Ie' · l '(1 C LOr J,> .E 5 r' . t
Page 179 and 180:
«70 . _-,u eLl D J! s~ \ P ~ Q: r.
Page 181 and 182:
.• ... \ D E M 0 N S T It A TIE.
Page 183 and 184:
*14 E U .. eLI • - fj-.- DES ,. .
Page 185 and 186:
. l1d- ."~E:U .C~L.I D Il s· . PRO
Page 187 and 188:
. . I • • I" £.u eLI D E'S- ..
Page 189 and 190:
110 .! U .c LID B SOP ;,lI1trek klf
Page 191 and 192:
, III E U·C L l DES Wederom .1 F I
Page 193 and 194:
J~4 E. U eLl D & S : . = t. Ergo fu
Page 195 and 196:
11' £ U eLI DES PRO P 0·5 I T IE
Page 197 and 198:
ElJctfnfs.' \ II. D·EEL 16vtD lija
Page 199 and 200:
"0 . ~! V
Page 201 and 202:
I'. "1: ·U 'e· L I .D B S II a 0
Page 203 and 204:
I'. E. U eLI DE S II. Dttl. Indien
Page 205 and 206:
:I~ t tl eLI DES P It ~o , 0 SIT 1
Page 207 and 208:
• 1~ ~c. yal. 191 ' E U eLI DES '
Page 209 and 210:
,,)0 ~ U eLI n B(· S , 1\ o. P 0 ~
Page 211 and 212:
"02, E eeL IDE S PRO P 0 SIT I E XX
Page 213 and 214:
s.. I!U(LIDES met den R3dius CA. of
Page 215 and 216:
• ". III. EUCLIDES Fr~o Is den Do
Page 217 and 218:
Ibl !UcttDE~' Uenhoe1, G g~jt1< 1I1
Page 219 and 220:
a ,.1. ~fO· E U eLI IJ E S' ~ Tri
Page 221 and 222:
\ • ,I. III. SIS E U eLI DES A D
Page 223 and 224:
, - -14 E U (: LID E S JI. G E V A.
Page 225 and 226:
IJ6 ~ U C L r DES II. G E.V A L. t.
Page 227 and 228:
, t, " · '11 I ~ c tID 2 S· CONST
Page 229 and 230:
' "0 EUCLIDBS DEMONSTRATIE. • De
Page 231 and 232:
. . IV. G E V A L. ~ So geeD van b!
Page 233 and 234:
i-I4 EUCLIDE·S . .. Maar de twe Qu
Page 235 and 236:
. . -.' \ • A. I •• • . .
Page 237 and 238:
JI' E U eLI D E s~ . l DEMONSTItATI
Page 239 and 240:
I,. HET VIERDE BOEK. D E FIN I TIE
Page 241 and 242:
I E U eLI DES ,a" =1tl, .tr omgt;Pb
Page 243 and 244:
EvctiDES· - D G -~-- .B CoNST·RU(
Page 245 and 246:
CII.t. D EM- 0 N S .T R' A TIE. Doo
Page 247 and 248:
.. I U eLI DIS 1ft l~ ~ dat die aIl
Page 249 and 250:
~tJ £VCLIDES ZYde D E g~n. ~ door
Page 251 and 252:
:4~ EUCLIDES , .. E B geJyk ED, om
Page 253 and 254:
i44 · EUCLIDES D, drie hoeken A'!
Page 255 and 256:
s.t4 EUCLIDES: '. Schol. , •• I
Page 257 and 258:
'.l ~. . ' .. ~ 1.1. Ergo is de ~de
Page 259 and 260:
". E U eLI DES . . D E:M 0 N S T RA
Page 261 and 262:
's(t, · 'EUCLIOES fchryfl: i.n de
Page 263 and 264:
'. E 0 C L ,- DES' •• PEMONSTRA
Page 265 and 266:
,;~6 ...~ Ebb L'l I> t t i ~ .. . .
Page 267 and 268:
'1' .! lJ C tID £ S COlt 0 L,L A.
Page 269 and 270:
• I. L ;'6cS .. E U C L,J.,D-E SM
Page 271 and 272:
~ .. . EUCLIDES·~; - D £ 1r.I 0 N
Page 273 and 274:
_'4 .' E U CLI.D E - ~ -., • 5-CH
Page 275 and 276:
" • H E T V Y F D·::E B 0 E I{.
Page 277 and 278:
'.dt O!UCLIDES . Om welke reden wy
Page 279 and 280:
'i~ E U· t t f {) E S- , heyt de a
Page 281 and 282:
"z . E U C L· IDE S . - de andere,
Page 283 and 284:
i74 E U eLI DES Ats d:Jn t\ve Reden
Page 285 and 286:
~76 0.' E u'e LID. E S ., van de t"
Page 287 and 288:
• Sit "~'J! U eLI DES PROCLCS OAS
Page 289 and 290:
-. ~,o ~ u C L" I :P "E"S . groothe
Page 291 and 292:
.n. E U eLI DES ·ne 12. ~ne twede
Page 293 and 294:
2'. E U C L ,I D l S dubbelde Reden
Page 295 and 296:
tS6 . £ tJ c t I Jj E S Reden; def
Page 297 and 298:
~II E U eLI DES derde. te zarner, m
Page 299 and 300:
I - ,~po .. EUCLIDES 1 , . te, cn e
Page 301 and 302:
~,~ E U eLI DES D·EMONSTRATIE. ~ I
Page 303 and 304:
i , • I ' I en 1 t. 1. en 16. 4 e
Page 305 and 306:
196 !UCLIDES namell'1c, beyde de de
Page 307 and 308:
'9' • • EUCL'"IDl!S LEMMA. IV
Page 309 and 310:
~UC(,IDE~ ~ ; B ;: c: I). , Diu:: i
Page 311 and 312:
lOS soet.IDES" ~, t' 0 R d L L A it
Page 313 and 314:
fe4 . '~'EUCLIDES' AOD beyde kanten
Page 315 and 316:
£O:CLID£I : -: ---1~ grOOter 811
Page 317 and 318:
t~a E U eLI DES C : I grooter K : D
Page 319 and 320:
IIG EllCLIDII' . , KopJt .. k1'eyt1
Page 321 and 322:
• : " I l I l I ~: I t i _.:. ~
Page 323 and 324:
, • ru ! '" eLI DES . I Dat is ,J
Page 325 and 326:
\ 1 • ,. D.£ Id EUCLIDBS 7ao. As
Page 327 and 328:
"·t is _. E U· -c t f !D: E' S PR
Page 329 and 330:
J~. E t1 eLI D E ~. - PROPOSITIE V.
Page 331 and 332:
I • JU !OCLIDES· , Dat Is 18 . 6
Page 333 and 334:
118 B U CLI·D B S / Zoo is '\ A x
Page 335 and 336:
, ~tis :- t·'tJ~·C t i I,I)! E-S
Page 337 and 338:
11~ E t1 eLI DES·; _ . . PROPOSITI
Page 339 and 340:
u. A 12, E+ GS E U'C LID E S I I. G
Page 341 and 342:
S14 E U eLI DES PRO P 0 SIT 1 E· V
Page 343 and 344:
,t~ E U· ~ L t tJ E § . Om dtt aa
Page 345 and 346:
~ .,,,s E U C L'I DES ~ " I. A -~ C
Page 347 and 348:
j ~. t. A: C grOt" dan B! t gerteye
Page 349 and 350:
" . sst. ", E U C :L" IDE S.· ·
Page 351 and 352:
Eve t 1 .. 0 B 5 AJB:ae:F } C : P g
Page 353 and 354:
.. EUCLIDES DEMONSTRAT.IE, , aTlteo
Page 355 and 356:
Ja~ E tI Q L: I .p E S . .. .- D E
Page 357 and 358:
• ~ . z v (: t·t D'ErS ,J9 P R O
Page 359 and 360:
.... '4& E U ~ L·I·l> E·S ~: .,
Page 361 and 362:
Ifi .. , tJ q ~'J D ~, .' , P It 0
Page 363 and 364:
A :.D B:E C:· F • p A : 8 : : D
Page 365 and 366:
t41 _ - VeL -, DE-I : zyO i wurom o
Page 367 and 368:
f 04 .' - • '1;0' t u t L r'Jj E
Page 369 and 370:
( , . '. ,',., - 01'. JEJgO A B . t
Page 371 and 372:
1M . n Z M '0 N ·S T 1l iA :' 'F 1
Page 373 and 374:
,s~ "·E U, oC LID £:~. '~'.~' ~iI
Page 375 and 376:
Itt, ',; i a~ d L t 11 e $ ? . 5,·
Page 377 and 378:
,_ 'I'=;~ B V' C ~ I D.B.' ";l :P'I
Page 379 and 380:
\ OM JfI,~ Ie If., ."rdn j. ~ioifdl
Page 381 and 382:
J ~ ··~-E· tf-c,t'-, D t~s ~ #II
Page 384 and 385:
, , _ g' £ 'J D E a ,0 I K. if; f~
Page 386 and 387:
I· ! ~ I ! g a !JD B '1J '6.£ it;
Page 388 and 389:
-- ... " ~,~~ f)'.I) ~-~ : IJ 0 I!
Page 390 and 391:
•• S E'lS.D E~ ,8 0 E·l. 51J d
Page 392 and 393:
;I' . / A o. •• 4 ,. , ... C Er
Page 394 and 395:
t ' c ,S E S DE· B 0 If K~ i7t En
Page 396 and 397:
s ~ ~ a ~ 1 ~ ~ :& K. ", - t? it (,
Page 398 and 399:
.... ~. • .. ~ 6 _. · $:E S D E:
Page 400 and 401:
s f:"S D ~ ~ ·8 ~ t K. · tn·de 1
Page 402 and 403:
. . ~ ~ ~ ~ I .DO E.~. ..1# , t; Vo
Page 404 and 405:
",.' : .' . • . ~. .. .. 'I • .
Page 406 and 407:
. '. . ..., .. . ~ . . ':. .... ~
Page 408 and 409:
S'E 'S l) --E c 1J" , K~ . iN ., D
Page 410 and 411:
........ ..-- , . .. ;. ~\ .• " .
Page 412 and 413:
~ E ~ 11 it II'O'"E It. :'. , D ~E
Page 414 and 415:
"i S E4·S·D~E' . B -0 £~K. O.t
Page 416 and 417:
·S' E ,-9 D t B 0 -Ef K~ ., •.
Page 418 and 419:
f .,.,' . I • " :/.'. , .. . - '.
Page 420 and 421:
.. • • , •. ~. • .J " '-',
Page 422 and 423:
s , ~ II E ! B 0 1! K~ ~Of~' ~,.' M
Page 424 and 425:
• , '!:' ,:-, ~._~:~, ~< ~ ~ ~;~~
Page 426 and 427:
.. , . "S ~,~'i! ~~~~~J'~~~., ~;~f'
Page 428 and 429:
~ I I . , , • . .'.t I)l. ,".' -~
Page 430 and 431:
, . !;( .b II .: '. ~ IJ '. d ('-'
Page 432 and 433:
, ~. - t" ... · . - ~1. , S-E~' DE
Page 434 and 435:
I , s, . Sr:P.' : ~~, ~ R. 4lI4 ·,
Page 436 and 437:
- -- - -- -.- - --...--.-- I , . .,
Page 438 and 439:
I ."~ ~ ., r - " _.. • • ,. It
Page 440 and 441:
I ..' ." -. i " < :S~'C~H'~O~L' \ 1
Page 442 and 443:
' I .. .' S It 9,0' E, B;O' Ei{.' t
Page 444 and 445:
~D4 I i DG_-_Par. CE / P\lr. DK.d {
Page 446 and 447:
S E S'J): B I Dt.! W. ~ die twe Par
Page 448 and 449:
0' ~rgo S :!:.~ _p(~~ B·O~,E"(. .,
Page 450 and 451:
',' ! I • S E 9' n 'E- tB 0 S' ·
Page 452 and 453:
... • I • S"!~!~D ~E' "0;·0 E
Page 454 and 455:
\ -.. ,. I ~ ., '": ~ - , " .. ~, .
show all

1 - World eBook Library

Create successful ePaper yourself

Delete template?

Save as template?