The Elements of EuclidJohnson and Warner, 1811 - 518 páginas |
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Página 15
... ABC shall be an equilateral triangle . D C Book I. a 3. Postu- late . A B E b 2. Post . Because the point A is the centre of the circle BCD , AC is equal to AB ; and because the point B is the centre of the cir- c 15. Defi- cle ACE , BC ...
... ABC shall be an equilateral triangle . D C Book I. a 3. Postu- late . A B E b 2. Post . Because the point A is the centre of the circle BCD , AC is equal to AB ; and because the point B is the centre of the cir- c 15. Defi- cle ACE , BC ...
Página 17
... triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each , viz . the angle ABC to the B angle DEF , and the angle ACB to DFE . CE D Book 1 . - For , if the triangle ...
... triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each , viz . the angle ABC to the B angle DEF , and the angle ACB to DFE . CE D Book 1 . - For , if the triangle ...
Página 18
... ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . a 3. 1 . 1 . In BD take any point F , and ... triangle AFC to the triangle AGB ; and the remaining angles of the one s are equal to the remaining an in97 % gles ...
... ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . a 3. 1 . 1 . In BD take any point F , and ... triangle AFC to the triangle AGB ; and the remaining angles of the one s are equal to the remaining an in97 % gles ...
Página 21
... triangles that have their sides which are terminated in one extremity of the base ... triangle DEF ; then join AF ; the straight line AF bisects the angle BAC ... ABC , and bisect a 1.1 . the angle ACB by the straight line CD . AB is cut ...
... triangles that have their sides which are terminated in one extremity of the base ... triangle DEF ; then join AF ; the straight line AF bisects the angle BAC ... ABC , and bisect a 1.1 . the angle ACB by the straight line CD . AB is cut ...
Página 26
... triangle be produced , the exterior angle is greater than either of the interior opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either of the interior opposite ...
... triangle be produced , the exterior angle is greater than either of the interior opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior angle ACD is greater than either of the interior opposite ...
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Términos y frases comunes
altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore