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 |
Dentro del libro
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Página 2
... proof as to introduce the proposition on which the deduction is supposed to be founded . A deduction may be given as an exercise on a particular book of Euclid , or on a given set of pro- positions . In such a case , it is , of course ...
... proof as to introduce the proposition on which the deduction is supposed to be founded . A deduction may be given as an exercise on a particular book of Euclid , or on a given set of pro- positions . In such a case , it is , of course ...
Página 4
... proof of such relations , to satisfy himself that they are real - not apparent . And it is this habit of being always on the watch for new properties which serves as the most efficient aid in the solution of geometrical problems , and ...
... proof of such relations , to satisfy himself that they are real - not apparent . And it is this habit of being always on the watch for new properties which serves as the most efficient aid in the solution of geometrical problems , and ...
Página 11
... proof of the equality of A E , EB , is complete by this method . We shall presently see that the mere fact of obtaining by the analytical method a result corresponding to certain data of a proposition is no certain test that the problem ...
... proof of the equality of A E , EB , is complete by this method . We shall presently see that the mere fact of obtaining by the analytical method a result corresponding to certain data of a proposition is no certain test that the problem ...
Página 12
... proof of Euc . I. , 5 ) , the angle ABG equal to the angle A C F , and the angle G B C equal to the angle BCF . There are other relations which seem unlikely to aid us , so we content ourselves with these . Remembering that we have to ...
... proof of Euc . I. , 5 ) , the angle ABG equal to the angle A C F , and the angle G B C equal to the angle BCF . There are other relations which seem unlikely to aid us , so we content ourselves with these . Remembering that we have to ...
Página 14
... proof of the proposition . The mental process is , of course , considerably longer than the solution which results from it - the mind runs rapidly over the elements given and required , selecting and rejecting this or that relation ...
... proof of the proposition . The mental process is , of course , considerably longer than the solution which results from it - the mind runs rapidly over the elements given and required , selecting and rejecting this or that relation ...
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 D A B is equal ABCD angle ABC angle BA angle equal base bisector bisects the angle circle diagonals equal and parallel equal angles equal sides equal to DC equal to half equal to twice Euclid exterior angles given angle given line given point given straight line greater Hence hypotenuse intersect isosceles triangle KHGE lines bisecting lines drawn locus maxima and minima obtuse opposite sides parallelogram perpendicular point F problem produced proof Prop proposition quadrilateral R. A. PROCTOR rect rectangle A C rectangle contained respects Euc rhombus right angles right-angled triangle sides A B solution square on CD squares on A C straight line A B theorems trapezium triangle ABC twice the rectangle vertex 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.