The Magical Revolution of the Reincarnated Princess and the Genius Young Lady, Vol. 1 (manga)

Princess Anisphia may not be able to use magic, but she didn't let that stop her from developing "magicology," a unique theory based on memories from her past life. While testing out her new flying broom, she happens across Euphyllia, a magical genius, having her engagement unjustly and publicly broken off. Seeing the tears in Euphyllia's eyes, Anisphia takes the obvious course of action--kidnapping the girl for herself!