G.372 commensurable and incommensurable magnitudes
X.def.1
Those magnitudes are said to be:term:
**commensurable** <commensurable> which are:term:
measured <G.253> by the same
measure , and those:term:
**incommensurable** <incommensurable> which cannot have any common measure.
magnitudes_said_commensurable_def
Dependency Graph
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edge [color="#8c857b", fontcolor="#8c857b", arrowsize=0.75];
rankdir="TB";
"G.169" [label="G.169", tooltip="G.169 (V.def.1): A magnitude is apart of a magnitude, the less of the greater, when it measures the greater.", fillcolor="#224422", URL="../G.169/index.html", target="_top"];
"G.247" [label="G.247", tooltip="G.247 (VII.def.1): Anunit is that by virtue of which each of the things that exist is called one.", fillcolor="#224422", URL="../G.247/index.html", target="_top"];
"G.248" [label="G.248", tooltip="G.248 (VII.def.2): Anumber is a multitude composed ofunits.", fillcolor="#224422", URL="../G.248/index.html", target="_top"];
"G.253" [label="G.253", tooltip="G.253 (VII.def.3): Anumber is apart of a number, the less of the greater, when itmeasures the greater;", fillcolor="#224422", URL="../G.253/index.html", target="_top"];
"G.372" [label="G.372", tooltip="G.372 (X.def.1): Those magnitudes are said to becommensurable which aremeasured by the same measure, and thoseincommensurable which cannot have any common measure.", penwidth=2.5, color="#e8b85a", fillcolor="#4a453b", URL="index.html", target="_top"];
"G.253" -> "G.169";
"G.372" -> "G.169";
"G.248" -> "G.247";
"G.253" -> "G.248";
"G.372" -> "G.253";
}
Required for
G.373 , G.374 , G.375 , G.376 , G.377 , G.378 , G.379 , G.381 , G.382 , G.383 , G.384 , G.385 , G.386 , G.387 , G.388 , G.389 , G.390 , G.391 , G.392 , G.393 , G.394 , G.395 , G.396 , G.397 , G.398 , G.399 , G.400 , G.401 , G.402 , G.403 , G.404 , G.405 , G.406 , G.407 , G.408 , G.409 , G.410 , G.411 , G.412 , G.413 , G.414 , G.415 , G.416 , G.417 , G.418 , G.419 , G.420 , G.421 , G.422 , G.423 , G.424 , G.425 , G.426 , G.427 , G.428 , G.429 , G.431 , G.433 , G.434 , G.435 , G.436 , G.437 , G.438 , G.439 , G.440 , G.441 , G.442 , G.443 , G.444 , G.445 , G.446 , G.447 , G.448 , G.449 , G.450 , G.451 , G.452 , G.453 , G.454 , G.455 , G.456 , G.457 , G.458 , G.459 , G.460 , G.461 , G.462 , G.463 , G.464 , G.465 , G.466 , G.467 , G.468 , G.469 , G.470 , G.471 , G.472 , G.473 , G.474 , G.476 , G.477 , G.478 , G.479 , G.480 , G.481 , G.482 , G.483 , G.484 , G.485 , G.486 , G.487 , G.488 , G.489 , G.490 , G.491 , G.492 , G.493 , G.494 , G.495 , G.496 , G.497 , G.498 , G.499 , G.500 , G.501 , G.584 , G.589 , G.597 , G.600 , G.601