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
Resultados 1-5 de 24
Página 4
... notice 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 ...
... notice 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 ...
Página 7
... notice that , in general , the most con- venient form of triangle for illustrating general properties is that shown in Fig . 4 ; here the angle A is one of about 75 ° , the angle B one of about 60 ° , and the angle C one of about 45 ...
... notice that , in general , the most con- venient form of triangle for illustrating general properties is that shown in Fig . 4 ; here the angle A is one of about 75 ° , the angle B one of about 60 ° , and the angle C one of about 45 ...
Página 12
... notice that analysis may lead to a result involved in our data which yet does not involve the immediate solution of our problem . Let us take next a less obvious proposition : - Ex . 2. - In the figure to Euc . I. , 5 ( Fig . 7 ) , if ...
... notice that analysis may lead to a result involved in our data which yet does not involve the immediate solution of our problem . Let us take next a less obvious proposition : - Ex . 2. - In the figure to Euc . I. , 5 ( Fig . 7 ) , if ...
Página 13
... notice that our data point to the equality of the triangles HBA and HCA . For we have the angle AB H equal to the angle A CH , and also AB , AH equal to CA , AH , respectively . But these relations are not sufficient . Seeing , however ...
... notice that our data point to the equality of the triangles HBA and HCA . For we have the angle AB H equal to the angle A CH , and also AB , AH equal to CA , AH , respectively . But these relations are not sufficient . Seeing , however ...
Página 15
... notice the shorter proof depending on the equality of B A , A H to C A , A H , respectively . Thus we gather an important rule . Having tracked out , analytically or synthetically , a complete proof of a proposition , it is well before ...
... notice the shorter proof depending on the equality of B A , A H to C A , A H , respectively . Thus we gather an important rule . Having tracked out , analytically or synthetically , a complete proof of a proposition , it is well before ...
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.