# A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and of Plane and Spherical Trigonometry, Together with a Series of Trigonometrical Tables

J. Mawmar, 1816 - 294 σεκΏδερ

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### Ργλοωικό αποσπήσλατα

”εκΏδα 70 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
”εκΏδα 62 - BC shall be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles, to which the equal sides are opposite, shall be equal, each to each, viz.
”εκΏδα 3 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another.
”εκΏδα 55 - Theorem. If two spherical triangles on the same sphere, or on equal spheres, are equilateral with respect to each other, they are also equiangular with respect to each other.
”εκΏδα 72 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
”εκΏδα 70 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
”εκΏδα 3 - A diameter of a circle is a straight line drawn through the center and terminated both ways by the circumference, as AC in Fig.
”εκΏδα 158 - If two triangles have two sides and the included angle in the one equal to two sides and the included angle in the other, each to each, the two triangles will be equal.
”εκΏδα 50 - THEOREM. The sum of the sides of a spherical polygon is less than the circumference of a great circle.
”εκΏδα 66 - If two angles of a triangle be equal to one another, the sides also which subtend the equal angles shall be equal to one another.