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The Eclectic School Geometry: A Revision of Evan's School Geometry
Evan Wilhelm Evans
Uten tilgangsbegrensning - 1884
ABCD altitude Axiom axis base bisect Book called chord circle circumference coincide common Complete cone consequently construction contained convex surface definition describe diagonal diameter divided draw drawn edges equal to half equally distant equilateral equivalent exterior angle faces fall figure four frustum Geometry given given line given point greater Hence hypotenuse hypothesis included inscribed intersection isosceles Join length less mean measured by half meet multiplied opposite parallel parallelogram parallelopiped pass perimeter perpendicular plane prism PROBLEM proportional Prove pyramid quadrilateral Ques radius ratio rectangle remainder respectively right angles segment shown sides similar slant height solid sphere square straight line taken tangent Theo THEOREM third triangle triangle ABC triedral unit vertex volume whole
Side 104 - 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 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 107 - 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 147 - 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 140 - 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.
Side 141 - The altitude of a pyramid or cone is the perpendicular distance from the ve~rtex to the base.