The Elements of EuclidJohnson and Warner, 1811 - 518 sider |
Inni boken
Resultat 1-5 av 100
Side 16
... equal to DG , and DA , DB , parts of them , are equal ; therefore the remainder AL is equal to the remainder f BG : but it has been shown , that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are ...
... equal to DG , and DA , DB , parts of them , are equal ; therefore the remainder AL is equal to the remainder f BG : but it has been shown , that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are ...
Side 17
... equal to the angle EDF , the base BC shall be equal to the base EF ; and the 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 ...
... equal to the angle EDF , the base BC shall be equal to the base EF ; and the 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 ...
Side 18
... 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 FC , GB . a Because AF is equal to AG , and AB to AC , the two ...
... 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 FC , GB . a Because AF is equal to AG , and AB to AC , the two ...
Side 19
... 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 AB be the greater , and from it cut equal to AC , the less , and join DC ; there- fore , because in the triangles DBC ...
... 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 AB be the greater , and from it cut equal to AC , the less , and join DC ; there- fore , because in the triangles DBC ...
Side 21
... equal to it . Therefore if two b 8. Ax . triangles , & c . Q. E. D. ر PROP . IX . PROB . TO bisect a given rectilineal angle , that is , to di- vide it into two equal angles . Let BAC be the given rectilineal angle , it is required to ...
... equal to it . Therefore if two b 8. Ax . triangles , & c . Q. E. D. ر PROP . IX . PROB . TO bisect a given rectilineal angle , that is , to di- vide it into two equal angles . Let BAC be the given rectilineal angle , it is required to ...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... Robert Simson Uten tilgangsbegrensning - 1806 |
Vanlige uttrykk og setninger
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