First Steps in Geometry: A Series of Hints for the Solution of Geometrical Problems with Notes on Euclid, Useful Working Propositions and Many ExamplesLongmans, Green, and Company, 1887 - 180 páginas |
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... method of showing here why such and such paths should be tried , even though some may have to be given up , in search- ing for the solution of problems , will , I believe , do more to teach the young student how to work out solutions ...
... method of showing here why such and such paths should be tried , even though some may have to be given up , in search- ing for the solution of problems , will , I believe , do more to teach the young student how to work out solutions ...
Página 1
... methods which he must apply to pro- blems in order to obtain solutions for himself . mathematical teacher who simply solves the problems brought to him ... methods to avoid as well as what methods SECTION I GEOMETRICAL PROBLEMS Introduction.
... methods which he must apply to pro- blems in order to obtain solutions for himself . mathematical teacher who simply solves the problems brought to him ... methods to avoid as well as what methods SECTION I GEOMETRICAL PROBLEMS Introduction.
Página 2
... methods to avoid as well as what methods to apply . One problem thus dealt with is worth a dozen which are merely solved ; and I believe the student who will carefully go through the examples which I shall take to pieces ( so to speak ) ...
... methods to avoid as well as what methods to apply . One problem thus dealt with is worth a dozen which are merely solved ; and I believe the student who will carefully go through the examples which I shall take to pieces ( so to speak ) ...
Página 3
... methods which are not used by Euclid shall be applied to the solution of the problem ; and , further , that no proposition not contained in Euclid , or not readily deducible from Euclid's propositions , shall be made use of . Lastly ...
... methods which are not used by Euclid shall be applied to the solution of the problem ; and , further , that no proposition not contained in Euclid , or not readily deducible from Euclid's propositions , shall be made use of . Lastly ...
Página 5
... method , since everyone can bisect a line , or produce it till the part produced is equal to the adjacent part , whereas many fail in the attempt to trisect a line . Similar remarks apply to the division of a line into five , seven , or ...
... method , since everyone can bisect a line , or produce it till the part produced is equal to the adjacent part , whereas many fail in the attempt to trisect a line . Similar remarks apply to the division of a line into five , seven , or ...
Otras ediciones - Ver todas
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... Richard Anthony Proctor Vista de fragmentos - 1888 |
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... Richard Anthony Proctor Sin vista previa disponible - 2018 |
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... Richard Anthony Proctor Sin vista previa disponible - 2013 |
Términos y frases comunes
A B C ABCD acute apply base bisector bisects the angle Book centre circle construction contained converse deductions described determine diagonals diameter difference distances divided double draw drawn equal equal to BC established Euclid Example figure four given point given straight line greater half Hence intersect isosceles triangle join less line A B locus manner meet method notice obvious opposite sides pair parallel parallelogram pass perpendicular problem produced proof Prop properties proposition prove quadrilateral rect rectangle A B relation remaining respects right angles shown solution solved square squares on A C student Suppose taken third triangle ABC twice the rectangle vertical angle
Pasajes populares
Página 80 - If two triangles have two sides of the one equal to two sides of the...
Página 144 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Página 175 - IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Página 136 - AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.