The Medici family became the richest family in the world primarily due to their success in banking and commerce. They established one of the most powerful and successful banks in Europe during the Renaissance period, which allowed them to accumulate vast wealth through investments, loans, and international trade. Additionally, their strategic marriages and alliances with other influential families helped them expand their wealth and influence across Europe. Their patronage of the arts and support for artists and scholars also enhanced their prestige and economic power. **

The Medici family, based in Florence, and the Fugger family, based in Augsburg, were both influential in European politics during the Renaissance. The Medici were known for their patronage of the arts and their support of the Catholic Church, which allowed them to gain political power in Florence and beyond. They used their wealth and influence to shape political decisions and maintain their control over the city. The Fugger family, on the other hand, were prominent bankers and merchants who used their financial resources to lend money to various European rulers, thereby gaining political influence and power. Both families played a significant role in shaping the political landscape of their time. **

To save an NFC tag on an iPhone, you can use the Shortcuts app. First, create a new shortcut and add the "Scan NFC" action. Scan the NFC tag you want to save, then add actions to the shortcut that you want to perform when the tag is scanned. Finally, save the shortcut and give it a name for easy access. Now, whenever you scan that NFC tag with your iPhone, the shortcut will automatically run. **

No, Fortnite Save the World is not available on Xbox. Save the World mode is only available on PC, PlayStation, and Mac platforms. However, Fortnite Battle Royale mode is available on Xbox, which is a separate game mode from Save the World. **

To save a PDF file on an NFC tag, you can use an NFC-enabled smartphone with a compatible app. First, you'll need to write the PDF file onto the NFC tag using an app that allows you to store data on the tag. Once the file is written onto the tag, you can simply tap your smartphone on the tag to access and save the PDF file. This allows you to easily transfer and access the PDF file by tapping your phone on the NFC tag. **

To save a TikTok video to share it with others, you can tap on the "Share" button on the video and then select "Save video" to save it to your device's camera roll. Once the video is saved, you can easily share it with others through messaging apps, social media, or email. Additionally, you can also use the "Copy link" option to share the video's link with others, allowing them to view it directly on the TikTok app or website. **

Archimedes is known for discovering the principles of buoyancy and the concept of the lever. He also developed the Archimedes screw, a device used to raise water from a lower to a higher level. Additionally, he made significant contributions to the field of mathematics, including calculating an accurate approximation of the value of pi. **

The concept of mathematics is not something that was "discovered" in the traditional sense, but rather it is a human creation that has evolved over time. Mathematics is a system of logic and rules that humans have developed to understand and describe the world around them. While the fundamental principles of mathematics may exist in the natural world, the specific language and concepts of mathematics are human inventions. Therefore, it is more accurate to say that people developed and refined mathematics rather than "discovered" it. **