1.) Personal quarrel: characterized by aggressive personal attack, heightened appeal to emotions, and a desire to win the argument (3).
Kagome's eyes were fixed on yet another battle between Inuyasha and his half brother, Sesshomaru. She thought is was ridiculous that Inuyasha insisted on starting a battle with him, since they had only crossed paths by chance. Inuyasha claimed that it was not by chance and that Sesshomaru had deliberately chosen to head in their direction. Kagome heaved a great sigh as she continued to watch the two brothers.
"Sesshomaru! You should've stayed away from us!" Inuyasha shouted. Kagome flinched at the unnecessary rage in his tone.
"It is you, half-breed, that was in our way," Sesshomaru replied in an even, smooth tone. Kagome bit her bottom lip as his words travelled to her ears and seemed to wrap around her body. Her reaction did not go unnoticed by Sesshomaru, who, when Inuyasha was not looking, shot his eyes in her direction for a brief moment.
"Feh! We were goin' for a jewel shard. Straight course" Inuyasha snapped and swiped his claws at his brother before swinging his sword down to strike him. Sesshomaru manoeuvred around the blade with ease and jumped backwards.
"Perhaps," Was all Sesshomaru managed to say before Inuyasha interrupted him.
"I felt you change your course, you bastard." Inuyasha shouted. Kagome rolled her eyes. Really?! Is this really important enough to fight over? her mind shouted. She watched Sesshomaru's lips curl up slightly as he shifted his eyes towards her once again.
"My choices are none of your concern," He retorted.
"So you admit it! You came to us, you bastard. You're so full of lies, Sesshomaru!" Inuyasha grinned in victory. Kagome's mind had wondered away from the battle and towards her assignment. She knew that this conversation fit the criteria of personal quarrel and she noted that Inuyasha had just added argumentum ad hominem to her new-found example; as he committed this when he criticized the argument by attacking the arguer, Sesshomaru, personally instead of considering the argument on its real merits. Inuyasha had focused on Sesshomaru's personal attribute, being a liar, rather than his argument that his business was his own.
"You can make any inference you like. It is of no concern" Sesshomaru seem very detached from their argument while Inuyasha was determined to win. Kagome failed to see why it was so important to Inuyasha. However, she admitted that she understood very little of the rivalry between the brothers, from either side.
She decided that she had enough material for her example and she wanted to stop wasting time.
"Inuyasha, the jewel shard is moving farther and farther away from us!" Kagome lied, in hopes that it would change his focus. Luckily, it did. Inuyasha pushed Sesshomaru back and rejoined the his group. Kagome locked eyes with Sesshomaru. She was mentally telling him to back off... as if he would actually listen to her.
"We'll settle this another time, Sesshomaru" Inuyasha spat.
"As always, little brother, you're running away" Sesshomaru taunted. Kagome bit her bottom lip, nervous that his words would provoke Inuyasha enough to resume their battle. Inuyasha scoffed and readied his sword. Kagame sighed and uttered 'sit.'
"Lets go Inuyasha!" She commanded when his glaring yellow eyes met hers. The group looked over to where Sesshomaru had been standing. He was gone. Kagome swallowed a lump in her throat as she turned to leave with the rest of her friends. Example one complete.