In either case equality of "'corresponding angles "'is also necessary; equality ( or proportionality ) of corresponding sides combined with equality of corresponding angles is necessary and sufficient for congruence ( or similarity ).
32.
Since the Mercator projection is conformal, that is, bearings in the chart are identical to the corresponding angles in nature, courses plotted on the chart may be used directly as the course-to-steer at the helm.
33.
If two triangles satisfy the SSA condition and the corresponding angles are acute and the length of the side opposite the angle is equal to the length of the adjacent side multiplied by the sine of the angle, then the two triangles are congruent.
34.
The " latitude " on the hypersphere will be half of the corresponding angle of rotation, and the neighborhood of any point will become " flatter " ( i . e . be represented by a 3D Euclidean space of points ) as the neighborhood shrinks.
35.
The " latitude " on the hypersphere will be half of the corresponding angle of rotation, and the neighborhood of any point will become " flatter " ( i . e . be represented by a 3-D Euclidean space of points ) as the neighborhood shrinks.
36.
This can be proved because the transversal " t " produces congruent corresponding angles \ theta, shown here both to the right of the transversal, one above and adjacent to line " a " and the other above and adjacent to line " b ".
37.
Particularly in the case of the developed IOE engine for a market with poor fuels, engines such as Land-Rover use a complicated arrangement of inclined valves, a cylinder head line at an angle to the bore and corresponding angled pistons to provide a compact combustion chamber approaching the near-hemispherical ideal.
38.
The corresponding angles formed by a transversal property, used by W . D . Cooley in his 1860 text, " The Elements of Geometry, simplified and explained " requires a proof of the fact that if one transversal meets a pair of lines in congruent corresponding angles then all transversals must do so.
39.
The corresponding angles formed by a transversal property, used by W . D . Cooley in his 1860 text, " The Elements of Geometry, simplified and explained " requires a proof of the fact that if one transversal meets a pair of lines in congruent corresponding angles then all transversals must do so.
40.
If two triangles satisfy the SSA condition and the corresponding angles are acute and the length of the side opposite the angle is greater than the length of the adjacent side multiplied by the sine of the angle ( but less than the length of the adjacent side ), then the two triangles cannot be shown to be congruent.
