A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and of Plane and Spherical Trigonometry, Together with a Series of Trigonometrical TablesJ. Mawman, 1816 - 294 sider |
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Side
... Propositions as are applicable to the purposes of Spherical Trigonometry .... ........ 193 On the Solution of Right - angled and Quadrantal Spherical Tri- angles ......... ........ 216 On the Solution of oblique - angled Spherical ...
... Propositions as are applicable to the purposes of Spherical Trigonometry .... ........ 193 On the Solution of Right - angled and Quadrantal Spherical Tri- angles ......... ........ 216 On the Solution of oblique - angled Spherical ...
Side
... propositions of the one and of the other class ; that between many theorems , of the one and of the other , which cannot entirely correspond , there exists a very close analogy : and that , even the very dissimilarities of these two ...
... propositions of the one and of the other class ; that between many theorems , of the one and of the other , which cannot entirely correspond , there exists a very close analogy : and that , even the very dissimilarities of these two ...
Side
... Propositions as are applicable to the purposes of Spherical Trigonometry ..193 On the Solution of Right - angled and Quadrantal Spherical Tri- angles ............. ......... 216 On the Solution of oblique - angled Spherical Triangles ...
... Propositions as are applicable to the purposes of Spherical Trigonometry ..193 On the Solution of Right - angled and Quadrantal Spherical Tri- angles ............. ......... 216 On the Solution of oblique - angled Spherical Triangles ...
Side iii
... propositions of the one and of the other class ; that between many theorems , of the one and of the other , which cannot entirely correspond , there exists a very close analogy : and that , even the very dissimilarities of these two ...
... propositions of the one and of the other class ; that between many theorems , of the one and of the other , which cannot entirely correspond , there exists a very close analogy : and that , even the very dissimilarities of these two ...
Side v
... proposition in Euclid , it has been thought sufficient to refer to Euclid's demon- stration ; in order to avoid all ... propositions , upon which they are dependent , had been proved . The definitions themselves have been very PREFACE .
... proposition in Euclid , it has been thought sufficient to refer to Euclid's demon- stration ; in order to avoid all ... propositions , upon which they are dependent , had been proved . The definitions themselves have been very PREFACE .
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Vanlige uttrykk og setninger
angle opposite base bisect circle EFH circumference co-tangent common section cosine describe a circle describe Art diameter drawn equal and parallel equal arches equal circles equal spheres equal to FE equations Euclid's Elements Find Art fore four right angles given angle given arch given circle given great circle given point given sphere given triangle greater hypotenuse Introd join Art less measure meet oblique angles opposite angle parallel circles perpendicular plane triangle polar distance polar triangle pole Problem PROP proposition quadrantal triangle radius rical triangle right angles right-angled spherical triangle SCHOLIUM semi-circumference shewn side BC sin S sin sine sphe sphere's center sphere's surface spherical angle spherical distance Spherical Geometry spherical polygon spherical tri Spherical Trigonometry straight line tangent Theorem three angles three sides touch the circle triangle ABC trigonometrical functions wherefore
Populære avsnitt
Side 53 - 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...
Side 46 - 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.
Side iii - 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.
Side 43 - 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.
Side 53 - 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.
Side 53 - 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.
Side iii - A diameter of a circle is a straight line drawn through the center and terminated both ways by the circumference, as AC in Fig.
Side 132 - 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.
Side 38 - THEOREM. The sum of the sides of a spherical polygon is less than the circumference of a great circle.
Side 50 - 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.