The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 1
... extremities of a line are points . IV . A straight line is that which lies evenly between its extreme points . v . A superficies is that which has only length and breadth . VI . The extremities of a superficies are lines , VII . A plane ...
... extremities of a line are points . IV . A straight line is that which lies evenly between its extreme points . v . A superficies is that which has only length and breadth . VI . The extremities of a superficies are lines , VII . A plane ...
Página 2
... extremity of any thing . XIV . A figure is that which is enclosed by one or more boundaries . XV . A circle is a plane figure contained by one line , which is called the circum- ference , and is such that all straight lines , drawn from ...
... extremity of any thing . XIV . A figure is that which is enclosed by one or more boundaries . XV . A circle is a plane figure contained by one line , which is called the circum- ference , and is such that all straight lines , drawn from ...
Página 11
... extremity of the base equal to one another , and also those terminated at the other extremity . D If it be possible , let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which have their sides ...
... extremity of the base equal to one another , and also those terminated at the other extremity . D If it be possible , let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which have their sides ...
Página 13
... extremity of the base equal to one another , and also those terminated at the other ex- tremity - which is impossible ( 1.7 ) : Therefore , if the base BC coincides with the base EF , the sides BA , AC cannot but coincide with the sides ...
... extremity of the base equal to one another , and also those terminated at the other ex- tremity - which is impossible ( 1.7 ) : Therefore , if the base BC coincides with the base EF , the sides BA , AC cannot but coincide with the sides ...
Página 34
Euclides. PROP . XXXIII . THEOR . The straight lines that join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel . Let AB , CD be equal and parallel straight lines ...
Euclides. PROP . XXXIII . THEOR . The straight lines that join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel . Let AB , CD be equal and parallel straight lines ...
Términos y frases comunes
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore