The ascendant/rising sign (Leo or otherwise) describes how we appear to be, whereas the sun sign describes who we really are in a wider sense than just appearance. The charactersitics of Leo will somewhat modify and shape the characteristics of your sun sign.
For example, if you are a Scorpio with Leo rising, then you will tend to be more open and more a show-off than the typical Scorpio would ever be. Or, if you are a Virgo with a Rising Leo Sign, then you will tend to be less detail-oriented and more expansive than the typical Virgo. Of if you are another fire sign such as Aries or Sagittarius, then the fiery aspects of your personality will be emphasized and dramatized - these might include characteristics such as being: domineering, driven, competitive, and/or arrogant. Such a double fire emphasis can (but does not necessarily) lead to extremes in words and/or actions.
With Leo rising/ascendant, the frequent qualities of Leo that will flavor your sun sign include being: loving, expansive, radiant, artistic, dignified, arrogant and/or domineering.
Understanding the Rising Sign/Ascendant
Daily Leo Horoscope
Leo Moon Sign
Today's Daily Horoscopes
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