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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Página 4
... relations which would otherwise escape him . Thence he learns to seek for the 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 ...
... relations which would otherwise escape him . Thence he learns to seek for the 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 ...
Página 5
... relations described in the proposition to be investi- gated . Simple as this seems to be , there are some points which deserve to be attended to . A few illus- trations will serve better than formal rules : — Suppose a problem spoke of ...
... relations described in the proposition to be investi- gated . Simple as this seems to be , there are some points which deserve to be attended to . A few illus- trations will serve better than formal rules : — Suppose a problem spoke of ...
Página 7
... relations not really FIG . 4 . FIG . 5 . involved in the problem illustrated . Lines should not seem to be equal , or to be at right angles to each other , when they are not necessarily so . Tri- angles should not seem to be isosceles ...
... relations not really FIG . 4 . FIG . 5 . involved in the problem illustrated . Lines should not seem to be equal , or to be at right angles to each other , when they are not necessarily so . Tri- angles should not seem to be isosceles ...
Página 11
... relation which has to be established . For we proceed from the data — A C , CE , equal to B E , C E , and the included angles equal -to the equality of the triangles ACE , BCE in all respects , and thence to the equality of A E , E B ...
... relation which has to be established . For we proceed from the data — A C , CE , equal to B E , C E , and the included angles equal -to the equality of the triangles ACE , BCE in all respects , and thence to the equality of A E , E B ...
Página 12
... 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 prove the equality 12 GEOMETRICAL PROBLEMS .
... 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 prove the equality 12 GEOMETRICAL PROBLEMS .
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.