# The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration and Trigonometry : Designed for Academies, Seminaries, High Schools, Normal Schools, and Advanced Classes in Common Schools

Sower, Barnes & Potts, 1868 - 275 СЕКъДЕР

### тИ КщМЕ ОИ ВЯчСТЕР -сЩМТАНГ ЙЯИТИЙчР

дЕМ ЕМТОПъСАЛЕ ЙЯИТИЙщР СТИР СУМчХЕИР ТОПОХЕСъЕР.

### пЕЯИЕВЭЛЕМА

 GEOMETRY 9 Theorems 10 SubjectMatter of Geometry 13 AREAS AND RELATIONS OF POLYGONS 15 Definitions 21 ANGLES TRIANGLES AND POLYGONS 67 Parallel Lines 74 THEOREMS 83 Triangles 92
 Definitions 110 Practical Examples 128 Theorems 129 Practical Examples 144 Examples and Theorems 159 TRIGONOMETRY 1 SYNTHETIC TRIGONOMETRY 13 ANALYTICAL TRIGONOMETRY 35

### дГЛОЖИКч АПОСПэСЛАТА

сЕКъДА 42 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
сЕКъДА 85 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
сЕКъДА 66 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
сЕКъДА 63 - The area of a parallelogram is equal to the product of its base and altitude.
сЕКъДА 41 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
сЕКъДА 138 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
сЕКъДА 100 - At a given point in a straight line to erect a perpendicular to that line. Let AB be the straight line, and let c D be a given point in it.
сЕКъДА 101 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
сЕКъДА 81 - 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.
сЕКъДА 43 - In an isosceles triangle, the angles opposite the equal sides are equal.