← elements / Elements 2.0 (G Index) G.78 I.def.21 ← Prev Pseudocode · Heath Next → G.78 right, obtuse, and acute-angled triangles¶ I.def.21 A right-angled triangle has a right angle, an obtuse-angled triangle has an obtuse angle, and an acute-angled triangle has three acute angles. triangle_angles_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.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.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.76" [label="G.76", tooltip="G.76 (I.def.11): An obtuse angle is greater than a right angle.", fillcolor="#224422", URL="../G.76/index.html", target="_top"]; "G.77" [label="G.77", tooltip="G.77 (I.def.12): An acute angle is less than a right angle.", fillcolor="#224422", URL="../G.77/index.html", target="_top"]; "G.78" [label="G.78", tooltip="G.78 (I.def.21): A right-angled triangle has a right angle, an obtuse-angled triangle has an obtuse angle, and an acute-angled triangle has three acute angles.", 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.8" -> "G.3"; "G.7" -> "G.4"; "G.12" -> "G.4"; "G.22" -> "G.4"; "G.33" -> "G.4"; "G.7" -> "G.5"; "G.22" -> "G.7"; "G.9" -> "G.8"; "G.12" -> "G.9"; "G.78" -> "G.12"; "G.33" -> "G.22"; "G.76" -> "G.22"; "G.77" -> "G.22"; "G.78" -> "G.22"; "G.76" -> "G.33"; "G.77" -> "G.33"; "G.78" -> "G.33"; "G.78" -> "G.76"; "G.78" -> "G.77"; } Required for¶ G.79, G.80, G.91, G.92, G.93, G.94, G.95, G.97, G.114, G.116, G.143, G.144, G.145, G.162, G.163, G.164, G.218, G.223, G.237, G.240, G.241, G.243, G.244, G.385, G.390, 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.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.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.528, G.545, G.546, G.561, G.563, G.565, G.570, G.571, G.572, G.573, G.577, G.578, G.584, G.589, G.590, G.592, G.594, G.595, G.597, G.600, G.601