The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 2
Euclides. • IX . A plane rectilineal angle is the inclination of two straight lines to one another , which meet ... figure is that which is enclosed by one or more boundaries . XV . A circle is a plane figure contained by one line ...
Euclides. • IX . A plane rectilineal angle is the inclination of two straight lines to one another , which meet ... figure is that which is enclosed by one or more boundaries . XV . A circle is a plane figure contained by one line ...
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... figure contained by a straight line , and the circumference it cuts off . xx . Rectilineal figures are those which are contained by straight lines : XXI . Trilateral figures , or triangles , by three straight lines : XXII ...
... figure contained by a straight line , and the circumference it cuts off . xx . Rectilineal figures are those which are contained by straight lines : XXI . Trilateral figures , or triangles , by three straight lines : XXII ...
Página 33
... rectilineal figure , together with four right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ABCDE can be divided into as many triangles as the E figure has sides , by drawing ...
... rectilineal figure , together with four right angles , are equal to twice as many right angles as the figure has sides . For any rectilineal figure ABCDE can be divided into as many triangles as the E figure has sides , by drawing ...
Página 43
... rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle : it is required to describe a parallelogram equal to ABCD , and having an angle ...
... rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the given rectilineal angle : it is required to describe a parallelogram equal to ABCD , and having an angle ...
Página 44
... triangle ABD , and the parallelogram GM to the triangle DBC , the whole parallelogram FKML is equal to the whole rectilineal figure ABCD : Wherefore the parallelogram FKML has been described equal to the given rectilineal figure ABCD ...
... triangle ABD , and the parallelogram GM to the triangle DBC , the whole parallelogram FKML is equal to the whole rectilineal figure ABCD : Wherefore the parallelogram FKML has been described equal to the given rectilineal figure ABCD ...
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