Discrepancies Between Euclidean and Spherical Trigonometry
... law of cosines and law of sines in Euclidean trigonometry. The first step is to derive a trigonometry for right triangles. The measure of the angle formed by the intersection of two great circles is defined to be equal to the measure of the angle formed by the two lines tangent to each great circle ...
... law of cosines and law of sines in Euclidean trigonometry. The first step is to derive a trigonometry for right triangles. The measure of the angle formed by the intersection of two great circles is defined to be equal to the measure of the angle formed by the two lines tangent to each great circle ...
4. Shape, Dimension, and Geometric Relationships
... Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints. (CCSS: G-CO.9) ...
... Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints. (CCSS: G-CO.9) ...
