G.63 square, oblong, rhombus, and rhomboid — Heath
I.def.22
Of
quadrilateral figures , a
square is that which is both
equilateral and right-angled ; an
oblong that which is right-angled but not equilateral ; a
rhombus that which is equilateral but not right-angled ; and a
rhomboid that which has its opposite sides and
angles equal to one another but is neither equilateral nor right-angled. And let quadrilaterals other than these be called
trapezia .
Dependency Graph
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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.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.12" [label="G.12", tooltip="G.12 (I.def.19): Rectilineal figures are contained by segments: trilateral by three, quadrilateral by four, and multilateral by more than four.", fillcolor="#224422", URL="../G.12/index.html", target="_top"];
"G.13" [label="G.13", tooltip="G.13 (I.def.20): Of trilateral figures, an equilateral triangle < A B C > has three equal sides, an isosceles triangle < D E F > has two equal sides, and a scalene triangle < G H K > has three uneq...", fillcolor="#224422", URL="../G.13/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"];
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"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.4" -> "G.3";
"G.8" -> "G.3";
"G.7" -> "G.4";
"G.12" -> "G.4";
"G.22" -> "G.4";
"G.7" -> "G.5";
"G.22" -> "G.7";
"G.9" -> "G.8";
"G.12" -> "G.9";
"G.13" -> "G.12";
"G.63" -> "G.12";
"G.63" -> "G.13";
"G.63" -> "G.22";
}
Required for
G.64 G.65 G.66 G.67 G.68 G.69 G.70 G.71 G.73 G.74 G.75 G.79 G.80 G.83 G.84 G.85 G.87 G.88 G.89 G.90 G.91 G.92 G.93 G.94 G.95 G.97 G.114 G.116 G.143 G.144 G.145 G.158 G.159 G.160 G.161 G.162 G.163 G.164 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.297 G.298 G.303 G.304 G.305 G.306 G.309 G.313 G.314 G.315 G.316 G.317 G.323 G.324 G.325 G.326 G.327 G.328 G.329 G.330 G.331 G.332 G.333 G.334 G.335 G.337 G.338 G.339 G.342 G.343 G.345 G.348 G.364 G.370 G.377 G.378 G.380 G.381 G.382 G.383 G.384 G.385 G.386 G.388 G.389 G.390 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.425 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.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.520 G.528 G.536 G.539 G.540 G.541 G.542 G.543 G.544 G.545 G.546 G.547 G.548 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.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.592 G.594 G.595 G.597 G.600 G.601
