The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
Dentro del libro
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Página 9
... THEOR . The angles at the base of an isosceles triangle are equal to one another ; and , if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side ...
... THEOR . The angles at the base of an isosceles triangle are equal to one another ; and , if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side ...
Página 10
... THEOR . If two angles of a triangle be equal to one another , the sides also which subten l , or are opposite to , the equal angles , shall be equal to one another . Let ABC be a triangle , having the angle ABC equal to the angle ACB ...
... THEOR . If two angles of a triangle be equal to one another , the sides also which subten l , or are opposite to , the equal angles , shall be equal to one another . Let ABC be a triangle , having the angle ABC equal to the angle ACB ...
Página 11
... THEOR . Upon the same base , and on the same side of it , there cannot be two triangles which have their sides terminated at one extremity of the base equal to one another , and also those terminated at the other extremity . D If it be ...
... THEOR . Upon the same base , and on the same side of it , there cannot be two triangles which have their sides terminated at one extremity of the base equal to one another , and also those terminated at the other extremity . D If it be ...
Página 12
... THEOR . If two triangles have two sides of the one equal to two sides of the other , each to each , and have also their bases equal , the angle which is contained by the two sides of the one shall be equal to the angle contained by the ...
... THEOR . If two triangles have two sides of the one equal to two sides of the other , each to each , and have also their bases equal , the angle which is contained by the two sides of the one shall be equal to the angle contained by the ...
Página 18
... THEOR . A E B D If two straight lines cut one another , the vertical , or op- posite , angles shall be equal . Let the two straight lines AB , CD cut one another at the point E : the angle AEC shall be equal to the angle BED , and the ...
... THEOR . A E B D If two straight lines cut one another , the vertical , or op- posite , angles shall be equal . Let the two straight lines AB , CD cut one another at the point E : the angle AEC shall be equal to the angle BED , and the ...
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