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  2. 100 amazing love quotes to share with your person - AOL

    www.aol.com/news/80-amazing-love-quotes-share...

    Heartwarming love quotes "love is a place / & through this place of / love move / (with brightness of peace) / all places" — E.E. Cummings, “love is a place” "Love does not delight in evil ...

  3. IX monogram - Wikipedia

    en.wikipedia.org/wiki/IX_monogram

    IX monogram. The IX monogram or XI monogram is a type of early Christian monogram looking like the spokes of a wheel, sometimes within a circle. [1] The IX monogram is formed by the combination of the letter "I" or Iota for Iesous (Ιησους, Jesus in Greek) and "X" or Chi for Christos (Χριστος, Christ in Greek). The spokes can also ...

  4. Euler's formula - Wikipedia

    en.wikipedia.org/wiki/Euler's_formula

    Substituting r(cos θ + i sin θ) for e ix and equating real and imaginary parts in this formula gives ⁠ dr / dx ⁠ = 0 and ⁠ dθ / dx ⁠ = 1. Thus, r is a constant, and θ is x + C for some constant C. The initial values r(0) = 1 and θ(0) = 0 come from e 0i = 1, giving r = 1 and θ = x.

  5. Euler's identity - Wikipedia

    en.wikipedia.org/wiki/Euler's_identity

    Even Euler does not seem to have written it down explicitly—and certainly it doesn't appear in any of his publications—though he must surely have realized that it follows immediately from his identity [i.e. Euler's formula], e ix = cos x + i sin x. Moreover, it seems to be unknown who first stated the result explicitly

  6. 90 love quotes for her, to show how much you care - AOL

    www.aol.com/news/90-love-quotes-her-show...

    “When you say you love me, know I love you more.” — Miley Cyrus, “Adore You” “I said I love you and that’s forever, and this I promise from the heart.

  7. What Do All the Heart Emojis Mean? A Guide To Using the ... - AOL

    www.aol.com/lifestyle/heart-emojis-mean-guide...

    Choosing the right heart emoji to add to a message or caption can be difficult, given the many options. Here's a guide to every color and type of heart emoji.

  8. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    Trigonometric functions and their reciprocals on the unit circle. All of the right-angled triangles are similar, i.e. the ratios between their corresponding sides are the same. For sin, cos and tan the unit-length radius forms the hypotenuse of the triangle that defines them.

  9. Sine and cosine - Wikipedia

    en.wikipedia.org/wiki/Sine_and_cosine

    In mathematics, sine and cosine are trigonometric functions of an angle.The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that ...