The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 30
... ABC , BCD , are equal to one another : and because AC is parallel to BD , and BC meets them , the alternate angles ... angle of the one to the third angle of the other * , viz . the side AB to the side CD , and AC to BD , and the angle ...
... ABC , BCD , are equal to one another : and because AC is parallel to BD , and BC meets them , the alternate angles ... angle of the one to the third angle of the other * , viz . the side AB to the side CD , and AC to BD , and the angle ...
Page 33
... triangle ABC is equal to the tri- angle EBC , because they are upon the same base BC , and between the same parallels BC , AE : but the triangle ABC is equal to the triangle DBC ; therefore also the triangle DBC is equal to the triangle ...
... triangle ABC is equal to the tri- angle EBC , because they are upon the same base BC , and between the same parallels BC , AE : but the triangle ABC is equal to the triangle DBC ; therefore also the triangle DBC is equal to the triangle ...
Page 34
... ABC is equal to the triangle EBC , because they are upon the same base BC , and between the same parallels BC , AE ... angle . Let ABC be the given triangle , and D the given rectilineal angle . It is required to describe a parallel ...
... ABC is equal to the triangle EBC , because they are upon the same base BC , and between the same parallels BC , AE ... angle . Let ABC be the given triangle , and D the given rectilineal angle . It is required to describe a parallel ...
Page 35
... ABC is equal to the triangle * 34. 1 . ADC . Again , because EKHA is a parallelogram , the diameter of which is AK ... angle . Let AB be the given straight line , and C the given triangle , and D the given rectilineal angle . It is ...
... ABC is equal to the triangle * 34. 1 . ADC . Again , because EKHA is a parallelogram , the diameter of which is AK ... angle . Let AB be the given straight line , and C the given triangle , and D the given rectilineal angle . It is ...
Page 38
... angle ; therefore also ADE is at right angle : but the opposite angles of parallelograms are equal ; therefore each ... ABC be a right - angled triangle , having the right angle BAC : the square described upon the side BC shall be equal ...
... angle ; therefore also ADE is at right angle : but the opposite angles of parallelograms are equal ; therefore each ... ABC be a right - angled triangle , having the right angle BAC : the square described upon the side BC shall be equal ...
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The Elements Of Euclid: Viz. The First Six Books, Together With The Eleventh ... Robert Simson,Euclid,John Davidson No preview available - 2019 |
Common terms and phrases
ABC is given AC is equal altitude angle ABC angle BAC base BC bisected centre circle ABCD circumference common logarithm cone Constr 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 ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram AC perpendicular polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle contained rectilineal figure right angles segment shewn sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore