The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 8
... base BC shall be equal to the base EF , and the triangle ABC to the triangle DEF , and the other angles shall be equal , each to each , to which the equal sides are opposite , viz . the angle ABC to the angle DEF , and the angle ACB to ...
... base BC shall be equal to the base EF , and the triangle ABC to the triangle DEF , and the other angles shall be equal , each to each , to which the equal sides are opposite , viz . the angle ABC to the angle DEF , and the angle ACB to ...
Página 9
... base EF , and be equal to it ( Ax . 8 ) ; and the whole triangle ABC shall coincide with the whole triangle DEF ... base of an isosceles triangle are equal to one another ; and , if the equal sides be produced , the angles upon the other ...
... base EF , and be equal to it ( Ax . 8 ) ; and the whole triangle ABC shall coincide with the whole triangle DEF ... base of an isosceles triangle are equal to one another ; and , if the equal sides be produced , the angles upon the other ...
Página 10
... base of the triangle ABC : And it has been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other side of the base . F BA Wherefore , The angles at the base , & c . Q. E.D. COROLLARY . equiangular ...
... base of the triangle ABC : And it has been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other side of the base . F BA Wherefore , The angles at the base , & c . Q. E.D. COROLLARY . equiangular ...
Página 11
... base DC is equal to the base AB ( 1.4 ) , and the triangle DBC is equal to the triangle ACB , the less to the greater - which is absurd : Therefore AB is not unequal to AC , that is , it is equal to it . Wherefore , If two angles , & c ...
... base DC is equal to the base AB ( 1.4 ) , and the triangle DBC is equal to the triangle ACB , the less to the greater - which is absurd : Therefore AB is not unequal to AC , that is , it is equal to it . Wherefore , If two angles , & c ...
Página 12
... base , & c . Q. E. D. PROP . VIII . 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 ...
... base , & c . Q. E. D. PROP . VIII . 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 ...
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