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Systems for data processing, anaylsis and representation

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CC BY: Attribution 4.0 International. You can find more information here.

Bibliographic data

fullscreen: Systems for data processing, anaylsis and representation

Monograph

Persistent identifier:
1067490280
Title:
Systems for data processing, anaylsis and representation
Sub title:
ISPRS Commission II Symposium : June 6 - 10, Ottawa, Canada
Scope:
XX, 530 Seiten
Type of content:
Konferenzschrift
DOI:
10.14463/GBV:1067490280
Year of publication:
1994
Place of publication:
Ottawa
Publisher of the original:
The Surveys, Mapping and Remote Sensing, Natural Resources Canada
Identifier (digital):
1067490280
Illustration:
Illustrationen
Reihe:
International archives of photogrammetry and remote sensing (30,2)
Signature of the source:
ZS 312(30,2)
Language:
English
Additional Notes:
Erscheinungsdatum des Originals ist aus dem Copyrightjahr ermittelt
Usage licence:
Attribution 4.0 International (CC BY 4.0)
Editor:
Allam, Mosaad
Plunkett, Gordon
Editor:
International Society for Photogrammetry and Remote Sensing
Kanada, Surveys, Mapping and Remote Sensing Sector
Author:
Symposium Systems for Data Processing, Analysis and Representation, 1994; Ottawa
Contributor:
International Society for Photogrammetry and Remote Sensing, Commission Instrumentation for Data Reduction and Analysis
Publisher of the digital copy:
Technische Informationsbibliothek Hannover
Place of publication of the digital copy:
Hannover
Year of publication of the original:
2019
Document type:
Monograph
Collection:
Earth sciences

Chapter

Title:
[Wednesday, June 8, 1994]
Document type:
Monograph
Structure type:
Chapter

Chapter

Title:
[Joint ISPRS/ GIS '94 Plenary III]
Document type:
Monograph
Structure type:
Chapter

Chapter

Title:
CONSIDÉRATIONS SUR L'EMPLOI DES DONNÉES À REFÉRENCE SPATIALE [John D. Bossler]
Document type:
Monograph
Structure type:
Chapter

Contents

Table of contents

  • Euclidis Opera omnia
  • Euclides elementa (Vol. 2)
  • Cover
  • Title page
  • Title page
  • Title page
  • Preface
  • Title page
  • [...] - [ELEMENTORUM LIBER V.]
  • [...] - [ELEMTORUM LIBER VI.]
  • [...] - [Definitiones.]
  • [...] - [I. Trianguli et parallelogramma sub eadem altitudine posita eandem inter se rationem habent ac bases.]
  • [...] - [II. Si in triangulo uni laterum parallela ducitur recta, ...]
  • [...] - [III. Si angulus trianguli in duas partes aequales diuiditur, ...]
  • [...] - [IV. In triangulis aequiangulis latera aequales angulos comprehendentia proportionalia sunt ...]
  • [...] - [V. Si duo trianguli latera proportionalia habent, ...]
  • [...] - [VI. Si duo trianguli unum angulum uni angulo aequalem habent ...]
  • [...] - [VII. Si duo trianguli unum angulum uni angulo aequalem habent ...]
  • [...] - [VIII. Si in triangulo rectangulo ab angulo recto ad basim perpendicularis ducitur, ...]
  • [...] - [IX. A data recta linea partem quamuis datam abscindere.]
  • [...] - [X. Datam rectam lineam non sectam datae sectae ongruenter secare.]
  • [...] - [XI. Datis duabus rectis tertiam proportionalem inuenire.]
  • [...] - [XII. Datis tribus rectis lineis quartam proportionalem inuenire.]
  • [...] - [XIII.Datis duabus rectis lineis mediani proportionalem inuenire.]
  • [...] - [XIV. In parallelogrammis aequalibus et aequiangulis latera aequales angulos comprehendentia ...]
  • [...] - [XV. In triangulis aequalibus, et qui unum angulum uni aequalem habeant, ...]
  • [...] - [XVI. Si quattuor rectae proportionales sunt, ...]
  • [...] - [XVII. Si tres rectae proportionales sunt, ...]
  • [...] - [XVIII. In data recta datae figurae rectilineae similem et similiter positam figuram rectilineam construere.]
  • [...] - [XIX. Similes trianguli inter se duplicatam rationem habent quam latera correspondentia.]
  • [...] - [XX. Similia polygona in triangulos et similes et aequales numero et totis correspondentes diuiduntur, ...]
  • [...] - [XXI. Quae eidem figurae rectilineae similes sunt figurae, etiam inter se similes sunt.]
  • [...] - [XXII. Si quattuor rectae proportionales sunt, ...]
  • [...] - [XXIII. Parallelogramma aequiangula inter se rationem ex rationibus laterum compositam habent.]
  • [...] - [XXIV. In quouis parallelogrammo parallelogramma circum diametrum posita similia sunt et toti et inter se.]
  • [...] - [XXV. Datae figurae rectilineae similem et alii figurae datae aequalem eandem figuram construere.]
  • [...] - [XXVI. Si a parallelogrammo aufertur parallelogrammum toti simile et similiter positum et communem angulum habens, ...]
  • [...] - [XXVII. Omnium parallelogrammorum eidem rectae adplicatorum et deficientium figuris.]
  • [...] - [XXVIII. Datae rectae datae figurae rectilineae aequale parallelogrammum adplicare deficiens figura parallelogramma datae simili, ...]
  • [...] - [XXIX. Datae rectae, datae figurae rectilineae aequale parallelogrammum adplicare excedens figura parallelogramma simili datae.]
  • [...] - [XXX. Datam rectam terminatam extremam ac mediam secare.]
  • [...] - [XXXI. In triangulis rectangulis figura descripta in latere sub recto angulo subtendenti aequalis est figuris ...]
  • [...] - [XXXII. Si duo trianguli duo latera duobus lateribus proportionalia habentes in uno angulo coniunguntur, ...]
  • [...] - [XXXIII. In circulis aequalibus anguli eandem habent rationem quam arcus, ...]
  • [...] - [ELEMENTORUM LIBER VII.]
  • [...] - [ELEMENTORUM LIBER VIII.]
  • [...]- [ELEMTORUM LIBER IX.]
  • APPENDIX.
  • Cover

Full text

Euclides, edd. Heiberg et Menge. II. 
11 
^#0 yi 
^ OjiOlQ 1 
,rt .•**§№ fCtl I 
^P^Wpauaov 
' ffnjr dm id. I 
i J8. «ri ¡«¡to- I 
® Z£. ¡totvov i« I 
b A’£ ¿nav ifoi», I 
¿¡Tci ttt 1j dr rj 
ifw. mm I 
» 1Z to l.VLV I 
3 TacMtiijjio^paa- 
'Mr^ami' iid- 
jr (vfokv .requ- 
iuiaoinov cite 
■mw mm$ 
0 jli'/ltftw fail to 
j Mu idfyu. 
i JB' Be con. m. 
i «fi nj» Bp. 10. I 
I m. rsc. P. if] P| I 
i i con. Pm.i«- I 
corr. ci fJ5 P m. ree. I 
7. fE fa i’itir Bp, I 
rad. 3-3 Hit F. 5 16. I 
fat B, 13 ; «jW I 
fata] m ti #P- I 
lOnitrsfe l l nai!1 I 
ELEMENTORUM LIBER YI. 
161 
similibus et similiter positis figu 
rae z/ B deficientium maximum esse 
A A. adplicetur enim rectae AB 
parallelogrammum AZ deficiens 
figura parallelogramma ZB simili 
et similiter posita figurae AB. dico, esse AA^>AZ. 
nam quoniam AB ~ ZB, circum eandem diame 
trum sunt posita [prop. XXYI]. ducatur eorum, dia- 
metrus AB, et describatur figura. 1 ) iam quoniam 
FZ = ZE [I, 43] et commune est ZB, erit F& — KE. 
sed FO = FH, quoniam AF — FB [prop. 1]. quare 
etiam HF=EK. commune adiiciatur FZ. itaque 
AZ = AMN. quare A B > AZ, h. e. A A > AZ. 
Ergo omnium parallelogrammorum eidem rectae 
adplicatorum et deficientium figuris parallelogrammis 
similibus et similiter positis ei, quae in dimidia 
describitur, maximum est, quod dimidiae adplicatur; 
quod erat demonstrandum. 1 2 ) 
1) H. e. producantur HZ ad & et KZ usque ad z/E; 
cfr. II, 7, 8. 
2) Itaque is solus casus tractatur, ubi AK ]> AF, nec 
opus est alterum, ubi AK <] AF, propria demonstratione 
ostendere nec hoc moris est Euclidis, sane in codd. omnibus 
additur demonstratio buius quoque casus, sed apertissime 
interpolata est; nam primum ante lin. 18 sq., non post eas 
inserenda erat, deinde iam ab initio in praeparatione duo 
casus respiciendi erant nec boc unquam neglexit Euclides, ubi 
plures casus babet; ita etiam in altera casu eaedem litterae, 
quae in priore, usurpatae essent, quod iure postulat Simsonus 
p. 380. Campanus YI, 26 utrumque casum demonstrat.
	        

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Heiberg, J. .L., and Heinrich Menge. Euclides Elementa. In Aedibus B. G. Teubneri, 1884.
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