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  • Notice that the two added lines bisect each of the <math>4</math> sides of the large rectangle. There are two linear lines that can be labeled. The first intersects the side of length 5; By letting
    8 KB (1,016 words) - 23:17, 30 December 2023
  • ...cause of the angle of <math>60^\circ</math> shown, and because the tangent lines <math>\overline{EF}</math> and <math>\overline{DE}</math> are congruent. <a
    3 KB (415 words) - 17:01, 24 May 2020
  • Suppose that the lines <math>FK</math> and <math>GL</math> are different and intersect at the poin
    4 KB (709 words) - 14:00, 1 June 2024
  • ...E, F</math> are the feet of the perpendiculars from <math>P</math> to the lines <math>BC, CA, AB</math>, respectively. Find all <math>P</math> for which
    13 KB (2,048 words) - 14:28, 22 February 2024
  • ...celes, so <math>LB = LI</math>. The rest of the proof proceeds along these lines. <math>\square</math>
    2 KB (291 words) - 15:31, 18 May 2021
  • ...ine <math>\overline{EF}</math> and the circumcircle is <math>P</math>. The lines <math>\overline{BP}</math> and <math>\overline{DF}</math> meet at point <ma
    8 KB (1,408 words) - 08:39, 10 July 2024
  • ...nt of the cone and the axis then the resulting section is two intersecting lines. This is a degenerate hyperbola.
    6 KB (1,003 words) - 15:47, 13 November 2024
  • ==Lines in Circles==
    9 KB (1,585 words) - 12:46, 2 September 2024
  • Just like vectors are oriented lines, bivectors are oriented ''areas''. Consider two vectors <math>u</math> and
    11 KB (1,876 words) - 18:01, 29 August 2024
  • ** For a given polygon, the lines connecting each point to its corresponding point of a polygon that is homot ...larity. Additionally, similarity (especially with circles) where parallel lines are used can indicate that homothety can be used, and homothety can be used
    3 KB (533 words) - 12:51, 2 September 2024
  • ...erior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less t ...ch say that there are more than 2 parallel lines, or there are no parallel lines, respectively.
    3 KB (478 words) - 00:52, 25 August 2024
  • # The two lines are [[secant line|chords]] of the circle and intersect inside the circle (f # One of the lines is [[tangent line|tangent]] to the circle while the other is a [[secant lin
    5 KB (859 words) - 15:11, 8 December 2024
  • ...ath>a\tilde b=\sum_i s_i\tilde s_i</math>. Similarly, drawing the vertical lines through half-integer points, we arrive at the identity
    2 KB (333 words) - 12:50, 26 June 2006
  • ...by a transversal and same-side interior angles add up to 180 degrees, the lines are parallel. This means <math>AD\|BC</math>. The same can be done for the
    3 KB (490 words) - 14:30, 22 February 2024
  • An angle is drawn on a set of equally spaced parallel lines as shown. The ratio of the area of shaded region <math>C</math> to the area
    7 KB (1,173 words) - 02:31, 4 January 2023
  • ...a first glance, but we can make geometric inequality inferences by drawing lines that simplify the problem by removing sections of the total area. To begin,
    4 KB (731 words) - 16:59, 4 January 2022
  • Note that the apex of the angle is not on the parallel lines. Set up a [[coordinate proof]]. Let the set of parallel lines be [[perpendicular]] to the [[x-axis]], such that they cross it at <math>0,
    4 KB (709 words) - 00:31, 5 January 2025
  • ...han draws line <math>x+y = n</math> for an integer <math>n.</math> The two lines divide the region <math>y \ge x^2</math> into four regions, with regions po
    12 KB (1,784 words) - 15:49, 1 April 2021
  • The lines <math>x = \frac 14y + a</math> and <math>y = \frac 14x + b</math> intersect
    13 KB (2,058 words) - 11:36, 4 July 2023
  • ...mpty set}\qquad\mathrm{(B)}\ \text{one point}\qquad\mathrm{(C)}\ \text{two lines}\qquad\mathrm{(D)}\ \text{a circle}\qquad\mathrm{(E)}\ \text{the entire pla ...intersects the circles at <math>C</math> and <math>D</math>, respectively. Lines <math>AB</math> and <math>CD</math> intersect at <math>E</math>, and <math>
    15 KB (2,223 words) - 12:43, 28 December 2020

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