G.61 diameter of a circle — Heath
I.def.17
A
diameter of the
circle is any
straight line drawn through the
centre and terminated in both directions by the circumference of the circle, and such a straight line also bisects the circle.
Dependency Graph
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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.6" [label="G.6", tooltip="G.6 (I.def.6): The extremities of a surface are lines or arcs.", fillcolor="#224422", URL="../G.6/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.8" [label="G.8", tooltip="G.8 (I.def.13): A boundary is the extremity of anything.", fillcolor="#224422", URL="../G.8/index.html", target="_top"];
"G.9" [label="G.9", tooltip="G.9 (I.def.14): A figure is that which is contained by any boundary or boundaries.", fillcolor="#224422", URL="../G.9/index.html", target="_top"];
"G.10" [label="G.10", tooltip="G.10 (I.def.15): A circle ( A B ) is a plane figure contained by one arc defined by a center A and a point B establishing its defining radius / A B /, such that all segments / A B /, / A C /, / A D...", fillcolor="#224422", URL="../G.10/index.html", target="_top"];
"G.11" [label="G.11", tooltip="G.11 (I.def.16): The point A within the circle ( A B ) from which all segments / A B /, / A C / to the arc are equal is called the center of the circle.", fillcolor="#224422", URL="../G.11/index.html", target="_top"];
"G.61" [label="G.61", tooltip="G.61 (I.def.17): A diameter of a circle is any segment drawn through the center and terminated in both directions by the arc of the circle; it bisects the circle.", 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.10" -> "G.1";
"G.11" -> "G.1";
"G.3" -> "G.2";
"G.4" -> "G.2";
"G.6" -> "G.2";
"G.7" -> "G.2";
"G.4" -> "G.3";
"G.6" -> "G.3";
"G.8" -> "G.3";
"G.7" -> "G.4";
"G.10" -> "G.4";
"G.11" -> "G.4";
"G.61" -> "G.4";
"G.6" -> "G.5";
"G.7" -> "G.5";
"G.10" -> "G.6";
"G.10" -> "G.7";
"G.9" -> "G.8";
"G.10" -> "G.9";
"G.11" -> "G.10";
"G.61" -> "G.10";
"G.61" -> "G.11";
}
Required for
G.62 , G.64 , G.65 , G.66 , G.67 , G.68 , G.69 , G.70 , G.71 , G.72 , G.73 , G.74 , G.75 , G.79 , G.80 , G.82 , G.83 , G.84 , G.85 , G.86 , G.87 , G.88 , G.89 , G.90 , G.91 , G.92 , G.93 , G.94 , G.95 , G.96 , G.97 , G.105 , G.106 , G.114 , G.116 , G.118 , G.119 , G.130 , G.131 , G.133 , G.134 , G.135 , G.136 , G.137 , G.139 , G.140 , G.141 , G.142 , G.143 , G.144 , G.145 , G.147 , G.149 , G.151 , G.154 , G.157 , G.158 , G.159 , G.160 , G.162 , G.163 , G.164 , G.165 , G.167 , G.168 , G.210 , G.211 , G.212 , G.213 , G.214 , G.215 , G.216 , G.218 , G.219 , G.220 , G.221 , G.222 , G.223 , G.225 , G.226 , G.227 , G.228 , G.229 , G.231 , G.232 , G.234 , G.235 , G.236 , G.237 , G.238 , G.239 , G.240 , G.241 , G.243 , G.244 , G.245 , G.246 , G.345 , G.377 , G.378 , G.381 , G.382 , G.383 , G.384 , G.385 , G.386 , G.389 , G.390 , 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.423 , G.425 , G.427 , 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.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.502 , G.503 , G.508 , G.510 , G.511 , G.512 , G.513 , G.514 , G.518 , G.519 , G.520 , G.522 , G.528 , G.530 , G.531 , G.532 , G.536 , G.538 , G.539 , G.540 , G.541 , G.542 , G.543 , G.544 , G.545 , G.546 , G.547 , G.549 , G.550 , G.551 , G.552 , G.554 , G.555 , G.556 , G.557 , G.558 , G.559 , G.560 , G.563 , G.565 , G.570 , G.571 , G.572 , G.573 , G.574 , G.575 , G.576 , G.577 , G.578 , G.579 , G.580 , G.581 , G.582 , G.583 , G.584 , G.586 , G.587 , G.588 , G.589 , G.590 , G.591 , G.592 , G.594 , G.595 , G.597 , G.598 , G.600 , G.601