G.81 contained rectangle
II.def.1
Any rectangular parallelogram is said to be:term:**contained** <contained-rectangle> by the two:term:segments <G.4> containing the:term:right angle <G.33> .
rectangular_parallelogram_said_def
Dependency Graph
digraph {
bgcolor="transparent";
node [shape=box, style="rounded,filled", fontname="Helvetica", fontsize=11, color="#d6d3cd", fontcolor="#ffffff"];
edge [color="#8c857b", fontcolor="#8c857b", arrowsize=0.75];
rankdir="TB";
"G.1" [label="G.1", tooltip="G.1 (I.def.1): A point A is that which has no part.", fillcolor="#224422", URL="../G.1/index.html", target="_top"];
"G.2" [label="G.2", tooltip="G.2 (I.def.2): A line [ A B ] is a projection of a relationship of two points A, B.", fillcolor="#224422", URL="../G.2/index.html", target="_top"];
"G.3" [label="G.3", tooltip="G.3 (I.def.3): The extremities of a segment / A B / are points A, B.", fillcolor="#224422", URL="../G.3/index.html", target="_top"];
"G.4" [label="G.4", tooltip="G.4 (I.def.4): A segment / A B / is a portion of a line [ A B ] between two points A, B on the line.", fillcolor="#224422", URL="../G.4/index.html", target="_top"];
"G.5" [label="G.5", tooltip="G.5 (I.def.5): A surface is that which has length and breadth only.", fillcolor="#224422", URL="../G.5/index.html", target="_top"];
"G.7" [label="G.7", tooltip="G.7 (I.def.7): A plane surface lies evenly with the lines on itself.", fillcolor="#224422", URL="../G.7/index.html", target="_top"];
"G.22" [label="G.22", tooltip="G.22 (I.def.8): A plane angle is the inclination to one another of two lines or arcs in a plane that meet and do not lie on the same line.", fillcolor="#224422", URL="../G.22/index.html", target="_top"];
"G.33" [label="G.33", tooltip="G.33 (I.def.10): When a segment standing on a line makes the adjacent angles equal, each of the equal angles is a right angle, and the standing segment is perpendicular to the line.", fillcolor="#224422", URL="../G.33/index.html", target="_top"];
"G.81" [label="G.81", tooltip="G.81 (II.def.1): Any rectangular parallelogram is said to becontained by the twosegments containing theright angle.", penwidth=2.5, color="#e8b85a", fillcolor="#4a453b", URL="index.html", target="_top"];
"G.2" -> "G.1";
"G.3" -> "G.1";
"G.4" -> "G.1";
"G.3" -> "G.2";
"G.4" -> "G.2";
"G.7" -> "G.2";
"G.22" -> "G.2";
"G.33" -> "G.2";
"G.4" -> "G.3";
"G.7" -> "G.4";
"G.22" -> "G.4";
"G.33" -> "G.4";
"G.81" -> "G.4";
"G.7" -> "G.5";
"G.22" -> "G.7";
"G.33" -> "G.22";
"G.81" -> "G.33";
}
Required for
G.82 , G.83 , G.84 , G.85 , G.87 , G.88 , G.89 , G.90 , G.93 , G.94 , G.95 , G.97 , G.143 , G.144 , G.145 , G.162 , G.163 , G.164 , G.227 , G.228 , G.345 , G.388 , G.389 , G.390 , G.393 , G.395 , G.396 , G.397 , G.398 , G.399 , G.400 , G.401 , G.402 , 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.423 , G.425 , G.427 , 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.455 , 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.470 , G.472 , 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.562 , G.563 , G.565 , G.570 , G.571 , G.572 , G.573 , G.577 , G.578 , G.579 , G.580 , G.581 , G.582 , G.583 , G.584 , G.588 , G.589 , G.592 , G.597 , G.600 , G.601