The Elements of EuclidJohnson and Warner, 1811 - 518 páginas |
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Página 16
... 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 ... Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz ...
... 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 ... Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz ...
Página 17
... ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each ... Let ABC be an isosceles triangle , of which the side AB is C Book I. equal to AC , and let the straight OF EUCLID . 17.
... ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each ... Let ABC be an isosceles triangle , of which the side AB is C Book I. equal to AC , and let the straight OF EUCLID . 17.
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 from AE the greater , cut off AG equal to AF , the less , and join ... Let ABC be a triangle having the angle THE ELEMENTS.
... 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 from AE the greater , cut off AG equal to AF , the less , and join ... Let ABC be a triangle having the angle THE ELEMENTS.
Página 19
Euclid Robert Simson. • " Let ABC be a triangle having the angle ABC equal to the Book L angle ACB ; the side AB is also equal to the side AC . D A off DB a 3.1 . For if AB be not equal to AC , one of them is greater than the other : let ...
Euclid Robert Simson. • " Let ABC be a triangle having the angle ABC equal to the Book L angle ACB ; the side AB is also equal to the side AC . D A off DB a 3.1 . For if AB be not equal to AC , one of them is greater than the other : let ...
Página 24
... ABC ; there- fore the angles DBA , ABC are equal to the three angles DBE , EBA , ABC ; but the angles CBE , EBD have ... let the two straight lines BC , BD upon the opposite sides of AB , make the adjacent angles ABC , ABD equal together ...
... ABC ; there- fore the angles DBA , ABC are equal to the three angles DBE , EBA , ABC ; but the angles CBE , EBD have ... let the two straight lines BC , BD upon the opposite sides of AB , make the adjacent angles ABC , ABD equal together ...
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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