The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
Dentro del libro
Resultados 1-5 de 100
Página 6
... ABC shall be an equilateral triangle . B E Because the point A is the centre of the circle BCD , AC is equal to AB ( Definition 15 ) ; and because the point B is the centre of the circle ACE , BC is equal to BA : But it has been proved ...
... ABC shall be an equilateral triangle . B E Because the point A is the centre of the circle BCD , AC is equal to AB ( Definition 15 ) ; and because the point B is the centre of the circle ACE , BC is equal to BA : But it has been proved ...
Página 8
... ABC , DEF be two triangles , which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz ... triangle ABC to the triangle DEF , and the other angles shall be equal , each to each , to which the equal sides are ...
... ABC , DEF be two triangles , which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz ... triangle ABC to the triangle DEF , and the other angles shall be equal , each to each , to which the equal sides are ...
Página 9
... triangle ABC shall coincide with the whole triangle DEF , and be equal to it ; and the other angles of the one shall coincide with the other angles of the other , and be equal to them , each to each , viz . the angle ABC to the angle ...
... triangle ABC shall coincide with the whole triangle DEF , and be equal to it ; and the other angles of the one shall coincide with the other angles of the other , and be equal to them , each to each , viz . the angle ABC to the angle ...
Página 10
... triangle ABC : And it has been proved that the angle FBC is equal to the angle GCB , which are the angles upon the ... triangle is also PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subten ...
... triangle ABC : And it has been proved that the angle FBC is equal to the angle GCB , which are the angles upon the ... triangle is also PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subten ...
Página 12
... triangle ACB , produce AC , AD to E , F. Then , because AC is equal to AD in ... triangles have two sides of the one equal to two sides of the other , each to ... ABC , DEF be two triangles , having the two sides AB , AC equal to the two ...
... triangle ACB , produce AC , AD to E , F. Then , because AC is equal to AD in ... triangles have two sides of the one equal to two sides of the other , each to ... ABC , DEF be two triangles , having the two sides AB , AC equal to the two ...
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