In the 1905 case Martin v. Texas, the United States Supreme Court ruled on a matter of criminal procedure and due process rights. The defendant, Martin, was convicted in a Texas court for murder and sentenced to death. He appealed his conviction to the U.S Supreme Court arguing that he had been denied his constitutional right to be informed of the nature and cause of accusation against him because he was not provided with an indictment or formal charge before trial as required by law. However, upon review, it was found that there had indeed been an indictment issued by a grand jury which clearly stated all necessary elements of murder under Texas law at that time; hence no violation occurred regarding this issue. Additionally, Martin claimed that his confession should have been excluded from evidence because it was obtained through coercion while he was held in custody without being advised about his legal rights - essentially arguing for what would later become known as Miranda Rights (which were established much later in 1966). The court rejected this argument too stating there wasn't enough proof showing any form of duress or intimidation used during interrogation. Therefore, both claims made by Martin were dismissed leading to affirmation of his conviction.

In the dissenting opinion for Martin v. Texas, it was argued that the defendant's constitutional rights were violated due to improper jury instruction. The justice believed that the trial court erred in its instructions to the jury regarding self-defense, which led them to render a verdict of guilty against Martin. He contended that this error infringed on Martin's Fourteenth Amendment right to due process and fair trial by impartially instructed jurors. Furthermore, he disagreed with how evidence was handled during proceedings and felt there had been an abuse of discretion in admitting certain testimonies into evidence without proper scrutiny or challenge from defense counsel. This dissenting view held firm on upholding defendants' constitutional protections even amidst public sentiment favoring conviction.