The Elements of EuclidJohnson and Warner, 1811 - 518 páginas |
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Página 16
... PROP . III . PROB . FROM the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two giv en straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part ...
... PROP . III . PROB . FROM the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two giv en straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part ...
Página 26
... PROP . XVI . THEOR . IF one side of a 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 ...
... PROP . XVI . THEOR . IF one side of a 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 ...
Página 30
... PROP . XXIII . PROB . AT a given point to a given straight line , to make a rectilineal angle equal to a given rectilineal angle . C A Let AB be the given straight line , and A the given point in it , and DCE the given rectilineal angle ...
... PROP . XXIII . PROB . AT a given point to a given straight line , to make a rectilineal angle equal to a given rectilineal angle . C A Let AB be the given straight line , and A the given point in it , and DCE the given rectilineal angle ...
Página 72
... PROP . VI . THEOR . IF two cireles touch one another internally , they shall not have the same centre . Let the two circles ABC , CDE touch one another internally in the point C : they have not the same centre . For , if they can , let ...
... PROP . VI . THEOR . IF two cireles touch one another internally , they shall not have the same centre . Let the two circles ABC , CDE touch one another internally in the point C : they have not the same centre . For , if they can , let ...
Página 92
... PROP . XXX . PROB . TO bisect a given circumference , that is , to divide it into two equal parts . Let ADB be the given circumference , it is required to bi- sect it . 2 Join AB , and bisect it in C ; from the point C draw CD at right ...
... PROP . XXX . PROB . TO bisect a given circumference , that is , to divide it into two equal parts . Let ADB be the given circumference , it is required to bi- sect it . 2 Join AB , and bisect it in C ; from the point C draw CD at right ...
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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