# An Elementary Geometry: Plane, Solid and Spherical

1880 - 240 уелЯдет
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### Ресйечьменб

 GEOMETRY 1 BOOK II 35 RELATIONS OF POLYGONS 44 BOOK III 75 BOOK IV 105 BOOK V 113 BOOK VI 135
 POLYEDRONS 157 BOOK VIII 195 BOOK IX 213 Book II 223 Book III 230 Book VI 236

### ДзмпцйлЮ брпурЬумбфб

УелЯдб 166 - Any two rectangles are to each other as the products of their bases by their altitudes.
УелЯдб 13 - If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.
УелЯдб 41 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
УелЯдб 198 - Each side of a spherical triangle is less than the sum of the other two sides.
УелЯдб 75 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
УелЯдб 203 - In an isosceles spherical triangle, the angles opposite the equal sides are equal. In the spherical triangle ABC, let AB equal AC.
УелЯдб 220 - If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles.
УелЯдб 136 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
УелЯдб 199 - THEOREM. The sum of the sides of a spherical polygon is less than the circumference of a great circle.
УелЯдб 162 - An oblique prism is equivalent to a right prism whose base is a right section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. Hyp. GM is a right section of oblique prism AD', and GM.' a right prism whose altitude is equal to a lateral edge of AD'. To prove AD' =0= GM'. Proof. The lateral edges of GM