# The Eclectic School Geometry: A Revision of Evan's School Geometry

Van Antwerp, Bragg, 1884 - 155 sider

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### Innhold

 Introduction 7 Axioms and Postulates 14 Triangles 24 Quadrilaterals 37 Polygons 46 The Circle 56 Problems in Construction 04 64 Loci 74
 Similarity 91 Section XIIICircles 103 SOLID GEOMETRY 119 Polyedrals 127 Pyramids and Cones 140 The Sphere 148 Opphavsrett

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Side 102 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
Side 31 - If two triangles have two sides of the one equal to two sides of the...
Side 54 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Side 42 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Side 60 - It follows, then, that the area of a circle is equal to half the product of its circumference and its radius.
Side 105 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R
Side 145 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Side 40 - The area of any parallelogram is equal to the area of a rectangle having the same base and altitude.
Side 138 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed.
Side 50 - The area of a regular polygon is equal to half the product of its apothem and perimeter.