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
... drawn figures . To solve a difficult problem when the illustrative figure is unlettered , or when ovals are drawn for circles , waved lines for straight ones , and so on , may be all very well for the advanced mathe- matician . Indeed ...
... drawn figures . To solve a difficult problem when the illustrative figure is unlettered , or when ovals are drawn for circles , waved lines for straight ones , and so on , may be all very well for the advanced mathe- matician . Indeed ...
Página 5
... drawn , free - hand , so as to represent as closely as possible the relations described in the proposition to be ... lines , to draw a straight line so that the part intercepted between the two given straight lines may be equal to the ...
... drawn , free - hand , so as to represent as closely as possible the relations described in the proposition to be ... lines , to draw a straight line so that the part intercepted between the two given straight lines may be equal to the ...
Página 10
... drawn at right angles to AB . From any FIG . 6 . point E in CD lines are drawn to A and B. Show that E A is equal to E B. Having constructed a figure in accordance with these data , we go over the data thus : we have A C equal to C B ...
... drawn at right angles to AB . From any FIG . 6 . point E in CD lines are drawn to A and B. Show that E A is equal to E B. Having constructed a figure in accordance with these data , we go over the data thus : we have A C equal to C B ...
Página 29
... lines PC , CQ is equal to the line PE . It might occur to us to inquire what is the sum of lines drawn from P and Q to any other point , as G , in A B. Join PG and Q G. The fact that CE is equal to CQ re- minds us that if we join G E ...
... lines PC , CQ is equal to the line PE . It might occur to us to inquire what is the sum of lines drawn from P and Q to any other point , as G , in A B. Join PG and Q G. The fact that CE is equal to CQ re- minds us that if we join G E ...
Página 30
... lines are drawn to the angles of the quadrilateral : show that the sum of these lines will be a minimum when the point is at the intersection of the diagonals . Presented in this form the problem would be solved precisely as Ex . 4. But ...
... lines are drawn to the angles of the quadrilateral : show that the sum of these lines will be a minimum when the point is at the intersection of the diagonals . Presented in this form the problem would be solved precisely as Ex . 4. But ...
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.