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The congruence theorems side-angle-side (SAS) and side-side-side (SSS) also hold on a sphere; in addition, if two spherical triangles have an identical angle-angle-angle (AAA) sequence, they are congruent (unlike for plane triangles). [9] The plane-triangle congruence theorem angle-angle-side (AAS) does not hold for spherical triangles. [10]
SSS has the property of information-theoretic security, meaning that even if an attacker steals some shares, it is impossible for the attacker to reconstruct the secret unless they have stolen a sufficient number of shares. Shamir's secret sharing is used in some applications to share the access keys to a master secret.
The lattice Con(A) of all congruence relations on an algebra A is algebraic. John M. Howie described how semigroup theory illustrates congruence relations in universal algebra: In a group a congruence is determined if we know a single congruence class, in particular if we know the normal subgroup which is the class containing the identity.
In mathematics, Gauss congruence is a property held by certain sequences of integers, including the Lucas numbers and the divisor sum sequence. Sequences satisfying this property are also known as Dold sequences, Fermat sequences, Newton sequences, and realizable sequences. [ 1 ]
The SSA condition (Side-Side-Angle) which specifies two sides and a non-included angle (also known as ASS, or Angle-Side-Side) does not prove congruence. In order to show congruence, additional information such as the measure of the corresponding angle and in some cases the lengths of the two corresponding sides are required.
Similar figures. In Euclidean geometry, two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other.More precisely, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection.
Follow the prompts to complete your AARP membership registration. Note: Whether you are an existing AARP member or not, you will need to register. You may also activate your AARP membership from mybenefits.aol.com. Simply sign in with your Username or Email and Password. Next, locate AARP and then click Enroll Now.
The SSS is also charged with the protection of the President, Vice President, Senate President, Speaker of the House of Representatives, State Governors and Deputy Governors, their immediate families, other high ranking government officials, former presidents and their spouses, certain notable candidates for the offices of President, Vice ...