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5 Congruence of Segments, Angles and Triangles
... Proof. By Hilbert’s axiom of congruence III.3, the sum is defined on equivalence classes of congruent segments. Now we check the items stated: Commutativity: Let segment AB represent the equivalence class a. By axiom III.1, we can choose point C such that A ∗ B ∗ C, and segment BC represents the equ ...
... Proof. By Hilbert’s axiom of congruence III.3, the sum is defined on equivalence classes of congruent segments. Now we check the items stated: Commutativity: Let segment AB represent the equivalence class a. By axiom III.1, we can choose point C such that A ∗ B ∗ C, and segment BC represents the equ ...
0116geo
... of a solid sphere. The clay being used to make the sphere weighs .075 pound per cubic inch. If the sphere's radius is 4 inches, what is the weight of the sphere, to the nearest pound? ...
... of a solid sphere. The clay being used to make the sphere weighs .075 pound per cubic inch. If the sphere's radius is 4 inches, what is the weight of the sphere, to the nearest pound? ...