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 91
... difference between A B , BC may be shown to be less than AC ; and the difference between A C and AB less than BC . It is well to note that in place of the general theorem which forms the latter part of Prop . 21 we may substitute the ...
... difference between A B , BC may be shown to be less than AC ; and the difference between A C and AB less than BC . It is well to note that in place of the general theorem which forms the latter part of Prop . 21 we may substitute the ...
Página 129
... difference of their squares ( A C , C D being the two lines referred to ) ; or thus - Taking A D and B D as the two lines of refer- ence , the rectangle contained by two lines is equal to the square of half their sum diminished by the ...
... difference of their squares ( A C , C D being the two lines referred to ) ; or thus - Taking A D and B D as the two lines of refer- ence , the rectangle contained by two lines is equal to the square of half their sum diminished by the ...
Página 132
... difference of the two lines ; or thus : - The squares on the sum and difference of two lines ( A C and CD ) are together double the squares on the two lines . COR . Since the squares on A D , DB exceed the squares on A C , CB by twice ...
... difference of the two lines ; or thus : - The squares on the sum and difference of two lines ( A C and CD ) are together double the squares on the two lines . COR . Since the squares on A D , DB exceed the squares on A C , CB by twice ...
Página 149
... difference of the lines A E , EC . From A B the greater of the sides A. B , BC ( sup- pose ) cut off B F equal to BC ... difference of A B , BC exceeds the difference of A E , E C. 62. A straight line AB is divided into two unequal ...
... difference of the lines A E , EC . From A B the greater of the sides A. B , BC ( sup- pose ) cut off B F equal to BC ... difference of A B , BC exceeds the difference of A E , E C. 62. A straight line AB is divided into two unequal ...
Página 150
... difference of the lines A D , BD is less than the difference of the lines A C , B C. PROP . 21 . 63. A point P is taken within the triangle ABC ; show that the sum of the lines PA , P B , and PC is less than the sum of the sides of the ...
... difference of the lines A D , BD is less than the difference of the lines A C , B C. PROP . 21 . 63. A point P is taken within the triangle ABC ; show that the sum of the lines PA , P B , and PC is less than the sum of the sides of the ...
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.