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 55
Página 5
... 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 nine equal parts . Suppose we had to solve ...
... 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 nine equal parts . Suppose we had to solve ...
Página 16
... produce A B to D , and join DC . Then shall DC be greater than B C. There is only one proposition in Euclid which deals with the inequality of two sides of a triangle -viz . Prop . 19 , Bk . I. It naturally occurs to us , therefore , to ...
... produce A B to D , and join DC . Then shall DC be greater than B C. There is only one proposition in Euclid which deals with the inequality of two sides of a triangle -viz . Prop . 19 , Bk . I. It naturally occurs to us , therefore , to ...
Página 18
... produce B A to A F , making AF equal to A C , so that B F is equal to the sum of the lines B A , A C ; and in like manner to produce BD to G , making DG equal to DC , so that BG is equal 18 GEOMETRICAL PROBLEMS .
... produce B A to A F , making AF equal to A C , so that B F is equal to the sum of the lines B A , A C ; and in like manner to produce BD to G , making DG equal to DC , so that BG is equal 18 GEOMETRICAL PROBLEMS .
Página 20
... produce A D to meet FC in H , and to note that A H is at right angles to FC . But CAF is an isosceles triangle , and it is a well - known property that the line drawn from the vertex of an isosceles triangle , at right angles to the ...
... produce A D to meet FC in H , and to note that A H is at right angles to FC . But CAF is an isosceles triangle , and it is a well - known property that the line drawn from the vertex of an isosceles triangle , at right angles to the ...
Página 22
... Produce BA to F , making AF equal to AC . Join DF , DC , and let A D , produced if necessary , meet FC in H. Then the angle F AH is equal to the interior angle ABC ( Euc . I. , 29 ) . But ABC is equal to ACB ( Euc . I. , 5 ) , and ACB ...
... Produce BA to F , making AF equal to AC . Join DF , DC , and let A D , produced if necessary , meet FC in H. Then the angle F AH is equal to the interior angle ABC ( Euc . I. , 29 ) . But ABC is equal to ACB ( Euc . I. , 5 ) , and ACB ...
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 divided 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 trisected 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.