For instance " Upper Secondary School Course on Elementary Geometry " went through 39 editions over sixty years and " Elementary Algebra " 24 editions, the last two under Soviet auspices in 1918 and 1922.
22.
In 1888, he issued three new textbooks : Arithmetic for 3rd-and 4th-graders, Geometry for the primary course, and a " Curs practic de Geometrie elementar " ( " Practical Course in Elementary Geometry " ).
23.
In other treatments of elementary geometry, using different sets of axioms, Pasch's axiom can be proved as a theorem; it is a consequence of the plane separation axiom when that is taken as one of the axioms.
24.
He described the Koch curve in a 1904 paper entitled " On a continuous curve without tangents constructible from elementary geometry " ( " original French title : " Sur une courbe continue sans tangente, obtenue par une construction g�om�trique �l�mentaire " " ).
25.
These embedding results are useful because Banach spaces have a number of useful properties not shared by all metric spaces : they are vector spaces which allows one to add points and do elementary geometry involving lines and planes etc .; and they are complete.
26.
In common usage in elementary geometry, cones are assumed to be "'right circular "', where " circular " means that the base is a circle and " right " means that the axis passes through the centre of the base area, and that the apex lies outside the plane of the base ).
27.
Measuring distances to nearby stars via parallax of the earth orbit ( I read in Nature that one such measurement came up with the result of 26 light years ) is a "'DIRECT "'method, based on elementary geometry known probably to ancient Greeks .-- talk ) 01 : 57, 5 April 2014 ( UTC)
28.
He wrote " Introductory Problem Courses in Analysis and Topology " ( Springer, 1982 ), " Elementary Geometry from an Advanced Standpoint " ( Addison Wesley, 3rd ed ., 1990 ), " Number Systems of Elementary Math " ( Addison Wesley, 1966 ), " Calculus, Part I " ( Addison Wesley, 1966 ) and other textbooks.
29.
If for some reason you need to use it many times, and prefer not to express it by the formula \ | u \ | = \ | v \ |, there shoud be an expression borrowed from elementary geometry that should work . ( I'm not sure : how does one say when two line-segments have the same length?
