The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh and Twelfth : the Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored : Also, The Book of Euclid's Data, in Like Manner CorrectedDesilver & Thomas, 1834 - 419 sider |
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Side 13
... Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the angle A BAC equal to the angle EDF , the base BC shall be equal to the base EF ; and ...
... Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the angle A BAC equal to the angle EDF , the base BC shall be equal to the base EF ; and ...
Side 14
... Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any ...
... Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any ...
Side 15
... Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . D 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 ( 3. 1 ...
... Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . D 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 ( 3. 1 ...
Side 16
... Let ABC , DEF be A two triangles , having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and also D G the base BC equal to the base EF . The an- gle BAC is equal to B the angle ...
... Let ABC , DEF be A two triangles , having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and also D G the base BC equal to the base EF . The an- gle BAC is equal to B the angle ...
Side 20
... ABC ; therefore 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 to ...
... ABC ; therefore 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 to ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given point given ratio given straight line gnomon greater join less Let ABC multiple opposite 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 right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third tiple triangle ABC triplicate ratio vertex wherefore