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Florence Owens Thompson (born Florence Leona Christie; September 1, 1903 – September 16, 1983) was an American woman who was the subject of Dorothea Lange 's photograph Migrant Mother (1936), considered an iconic image of the Great Depression. The Library of Congress titled the image: "Destitute pea pickers in California. Mother of seven ...
In an acute triangle, the sum of the circumradius R and the inradius r is less than half the sum of the shortest sides a and b: [4]: p.105, #2690. while the reverse inequality holds for an obtuse triangle. For an acute triangle with medians ma , mb , and mc and circumradius R, we have [4]: p.26, #954.
A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular, forming a right angle (1⁄4 turn or 90 degrees). The side opposite to the right angle is called the hypotenuse (side in the figure). The sides adjacent to the right angle are called ...
Angle. A green angle formed by two red rays on the Cartesian coordinate system. In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. [1] Angles formed by two rays are also known as plane angles as they lie in the plane that contains the rays.
The change of sign as the angle γ becomes obtuse makes a case distinction necessary. Recall that a 2, b 2, and c 2 are the areas of the squares with sides a, b, and c, respectively; if γ is acute, then ab cos γ is the area of the parallelogram with sides a and b forming an angle of γ′ = π / 2 − γ;
Major depressive disorder (MDD), also known as clinical depression, is a mental disorder [9] characterized by at least two weeks of pervasive low mood, low self-esteem, and loss of interest or pleasure in normally enjoyable activities. Introduced by a group of US clinicians in the mid-1970s, [10] the term was adopted by the American Psychiatric ...
Edsger W. Dijkstra has stated this proposition about acute, right, and obtuse triangles in this language: sgn(α + β − γ) = sgn(a 2 + b 2 − c 2), where α is the angle opposite to side a, β is the angle opposite to side b, γ is the angle opposite to side c, and sgn is the sign function. [30]
convex, cyclic. Dual polygon. Self-dual. In geometry, an isosceles triangle (/ aɪˈsɒsəliːz /) is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a ...
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