31:
779:
45:
34:
Illustration of ae plane, showing the absolute values (unsigned dotted line lengths) of the coordinates of the points (2, 3), (0, 0), (−3, 1), and (−1.5, −2.5). The first of these signed ordered pairs is the abscissa of the corresponding point, and the second value is its
454:
of a point is the signed measure of its projection on the secondary axis, whose absolute value is the distance between the projection and the origin of the axis, and whose sign is given by the location on the projection relative to the origin (before: negative; after: positive).
433:
446:
of its projection on the primary axis, whose absolute value is the distance between the projection and the origin of the axis, and whose sign is given by the location on the projection relative to the origin (before: negative; after: positive).
521:
Gleichwohl ist durch vermuthlich ein Wort in den mathematischen
Sprachschatz eingeführt worden, welches gerade in der analytischen Geometrie sich als zukunftsreich bewährt hat. Wir kennen keine ältere Benutzung des Wortes
550:
At the same time it was presumably by that a word was introduced into the mathematical vocabulary for which especially in analytic geometry the future proved to have much in store. We know of no earlier use of the word
367:
589:
In a somewhat obsolete variant usage, the abscissa of a point may also refer to any number that describes the point's location along some path, e.g. the parameter of a
335:
307:
722:
62:
783:
602:
594:
128:
109:
81:
801:
88:
66:
346:
95:
806:
458:
428:{\displaystyle (\overbrace {x} ^{\displaystyle {\text{abscissa}}},\overbrace {y} ^{\displaystyle {\text{ordinate}}}).}
277:
77:
55:
619:
614:
509:
695:
486:
590:
556:
529:
161:
158:
102:
811:
598:
317:
289:
30:
342:
273:
224:
593:. Used in this way, the abscissa can be thought of as a coordinate-geometry analog to the
470:
778:
795:
512:
485:(Leonardo of Pisa), its use in its modern sense may be due to Venetian mathematician
202:) is an ordered pair in the Cartesian plane, then the first coordinate in the plane (
528:
350:
27:
Horizontal and vertical axes/coordinate numbers of a 2D coordinate system or graph
443:
214:
44:
624:
269:
747:
361:)—which define the location of a point in two-dimensional rectangular space:
752:
482:
727:(in German). Vol. 2 (2nd ed.). Leipzig: B.G. Teubner. p. 898
341:
Usually these are the horizontal and vertical coordinates of a point in
17:
555:
in Latin original texts. Maybe the word appears in translations of the
538:
die Rede ist, wofür es kaum ein entsprechenderes lateinisches Wort als
563:
for which there would hardly be a more appropriate Latin word than
29:
670:
645:
461:
the third direction is sometimes referred to as the applicate.
601:
or experiment (with any ordinates filling a role analogous to
38:
533:
248:
179:
coordinate of the point. The distance of a point from the
239:
227:
353:
consists of two terms—the abscissa (horizontal, usually
477: 'a line cut off') has been used at least since
410:
386:
370:
320:
292:
242:
236:
206:) is called the abscissa, and the second coordinate (
230:
233:
69:. Unsourced material may be challenged and removed.
427:
329:
301:
559:, where Book I, Chapter 20 there is mention of
500:Vorlesungen über die Geschichte der Mathematik
8:
523:
519:
498:
564:
539:
245:
724:Vorlesungen über Geschichte der Mathematik
491:Miscellaneum Hyperbolicum, et Parabolicum
411:
409:
399:
387:
385:
375:
369:
319:
291:
129:Learn how and when to remove this message
636:
746:Hedegaard, Rasmus; Weisstein, Eric W.
357:) and the ordinate (vertical, usually
268:are respectively the first and second
469:Though the word "abscissa" (from
7:
67:adding citations to reliable sources
506:Lectures on history of mathematics
25:
167:The distance of a point from the
777:
223:
175:axis, is called the abscissa or
43:
577:is related to the Latin phrase
187:axis is called the ordinate or
54:needs additional citations for
419:
371:
309:-axis (horizontal) coordinate,
1:
782:The dictionary definition of
694:Dyer, Jason (March 8, 2009).
347:rectangular coordinate system
337:-axis (vertical) coordinate.
700:numberwarrior.wordpress.com
532:vor, wo Buch I Satz 20 von
530:Apollonischen Kegelschnitte
278:Cartesian coordinate system
828:
534:
581:'line applied parallel'.
579:linea ordinata appliicata
540:
524:
442:of a point is the signed
191:coordinate of the point.
157:coordinate of a standard
696:"On the Word "Abscissa""
510:historian of mathematics
330:{\displaystyle \equiv y}
302:{\displaystyle \equiv x}
721:Cantor, Moritz (1900).
585:In parametric equations
78:"Abscissa and ordinate"
802:Elementary mathematics
620:Relation (mathematics)
615:Function (mathematics)
571:
565:
520:
499:
429:
331:
303:
171:axis, scaled with the
36:
785:abscissa and ordinate
675:mathworld.wolfram.com
650:mathworld.wolfram.com
517:
508:"), volume 2, German
481:published in 1220 by
479:De Practica Geometrie
430:
332:
304:
183:axis scaled with the
141:In common usage, the
33:
702:. The number Warrior
595:independent variable
573:The use of the word
487:Stefano degli Angeli
368:
318:
290:
63:improve this article
669:Weisstein, Eric W.
644:Weisstein, Eric W.
603:dependent variables
591:parametric equation
459:In three dimensions
210:) is the ordinate.
149:coordinate and the
807:Coordinate systems
599:mathematical model
425:
416:
392:
327:
299:
37:
557:Apollonian conics
496:In his 1892 work
418:
414:
407:
394:
390:
383:
194:For example, if (
139:
138:
131:
113:
16:(Redirected from
819:
781:
765:
764:
762:
760:
743:
737:
736:
734:
732:
718:
712:
711:
709:
707:
691:
685:
684:
682:
681:
666:
660:
659:
657:
656:
641:
568:
546:
543:
542:
537:
536:
527:
526:
502:
434:
432:
431:
426:
417:
415:
412:
408:
400:
398:
393:
391:
388:
384:
376:
374:
336:
334:
333:
328:
308:
306:
305:
300:
255:
254:
251:
250:
247:
244:
241:
238:
235:
232:
229:
134:
127:
123:
120:
114:
112:
71:
47:
39:
21:
827:
826:
822:
821:
820:
818:
817:
816:
792:
791:
774:
769:
768:
758:
756:
745:
744:
740:
730:
728:
720:
719:
715:
705:
703:
693:
692:
688:
679:
677:
668:
667:
663:
654:
652:
643:
642:
638:
633:
611:
587:
561:ἀποτεμνομέναις,
547:
467:
366:
365:
316:
315:
288:
287:
226:
222:
159:two-dimensional
135:
124:
118:
115:
72:
70:
60:
48:
28:
23:
22:
15:
12:
11:
5:
825:
823:
815:
814:
809:
804:
794:
793:
790:
789:
773:
772:External links
770:
767:
766:
738:
713:
686:
661:
635:
634:
632:
629:
628:
627:
622:
617:
610:
607:
586:
583:
535:ἀποτεμνομέναις
475:linea abscissa
466:
463:
436:
435:
424:
421:
406:
403:
397:
382:
379:
373:
339:
338:
326:
323:
310:
298:
295:
153:refers to the
145:refers to the
137:
136:
51:
49:
42:
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
824:
813:
810:
808:
805:
803:
800:
799:
797:
788:at Wiktionary
787:
786:
780:
776:
775:
771:
755:
754:
749:
742:
739:
726:
725:
717:
714:
706:September 10,
701:
697:
690:
687:
676:
672:
665:
662:
651:
647:
640:
637:
630:
626:
623:
621:
618:
616:
613:
612:
608:
606:
604:
600:
596:
592:
584:
582:
580:
576:
570:
567:
562:
558:
554:
548:
545:
544:geben möchte.
531:
516:
514:
513:Moritz Cantor
511:
507:
503:
501:
494:
492:
488:
484:
480:
476:
472:
464:
462:
460:
456:
453:
448:
445:
441:
422:
404:
401:
395:
380:
377:
364:
363:
362:
360:
356:
352:
348:
344:
324:
321:
314:
311:
296:
293:
286:
283:
282:
281:
279:
275:
271:
267:
263:
259:
253:
220:
216:
211:
209:
205:
201:
197:
192:
190:
186:
182:
178:
174:
170:
165:
163:
160:
156:
152:
148:
144:
133:
130:
122:
111:
108:
104:
101:
97:
94:
90:
87:
83:
80: –
79:
75:
74:Find sources:
68:
64:
58:
57:
52:This article
50:
46:
41:
40:
32:
19:
784:
757:. Retrieved
751:
741:
731:10 September
729:. Retrieved
723:
716:
704:. Retrieved
699:
689:
678:. Retrieved
674:
664:
653:. Retrieved
649:
639:
588:
578:
574:
572:
560:
552:
549:
518:
505:
497:
495:
490:
489:in his work
478:
474:
468:
457:
451:
449:
439:
437:
358:
354:
351:ordered pair
340:
312:
284:
265:
261:
257:
218:
212:
207:
203:
199:
195:
193:
188:
184:
180:
176:
172:
168:
166:
154:
150:
146:
142:
140:
125:
116:
106:
99:
92:
85:
73:
61:Please help
56:verification
53:
215:mathematics
796:Categories
748:"Abscissa"
680:2024-05-14
671:"Ordinate"
655:2024-05-14
646:"Abscissa"
631:References
625:Line chart
270:coordinate
264:) and the
89:newspapers
812:Dimension
753:MathWorld
493:of 1659.
483:Fibonacci
465:Etymology
405:⏞
381:⏞
322:≡
294:≡
262:abscissas
258:abscissae
256:; plural
35:ordinate.
609:See also
575:ordinate
566:abscissa
553:abscissa
541:abscissa
525:Abscisse
515:writes:
452:ordinate
440:abscissa
413:ordinate
389:abscissa
313:ordinate
285:abscissa
266:ordinate
219:abscissa
151:ordinate
143:abscissa
119:May 2024
18:Abscissa
759:14 July
444:measure
103:scholar
345:, the
217:, the
105:
98:
91:
84:
76:
597:in a
473:
471:Latin
349:. An
343:plane
276:in a
274:point
272:of a
162:graph
110:JSTOR
96:books
761:2013
733:2015
708:2015
450:The
438:The
82:news
605:).
260:or
213:In
164:.
65:by
798::
750:.
698:.
673:.
648:.
569:.
504:("
280::
198:,
763:.
735:.
710:.
683:.
658:.
423:.
420:)
402:y
396:,
378:x
372:(
359:y
355:x
325:y
297:x
252:/
249:ə
246:.
243:s
240:ɪ
237:s
234:ˈ
231:b
228:æ
225:/
221:(
208:y
204:x
200:y
196:x
189:y
185:y
181:x
177:x
173:x
169:y
155:y
147:x
132:)
126:(
121:)
117:(
107:·
100:·
93:·
86:·
59:.
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
