Assuming you're in the directory where you cloned this Git repository (i.e. one level up from here), try:
curl -o weather/weather-cloud-partly.json https://developer.lametric.com/api/v1/dev/preloadicons?icon_id=2286
curl -o weather/weather-cloudy.json https://developer.lametric.com/api/v1/dev/preloadicons?icon_id=12019
curl -o weather/weather-moon-stars.json https://developer.lametric.com/api/v1/dev/preloadicons?icon_id=16310
curl -o weather/weather-rain-snow.json https://developer.lametric.com/api/v1/dev/preloadicons?icon_id=160
curl -o weather/weather-rain.json https://developer.lametric.com/api/v1/dev/preloadicons?icon_id=72
curl -o weather/weather-snow-house.json https://developer.lametric.com/api/v1/dev/preloadicons?icon_id=7075
curl -o weather/weather-snowy.json https://developer.lametric.com/api/v1/dev/preloadicons?icon_id=2289
curl -o weather/weather-thunderstorm.json https://developer.lametric.com/api/v1/dev/preloadicons?icon_id=11428