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 CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
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Side 7
... adding some things , suppressing others , and mix- ing his own with Euclid's Demonstrations , had changed more things to the worse than is commonly supposed , and those not of small moment , especially in the fifth and ele- venth Books ...
... adding some things , suppressing others , and mix- ing his own with Euclid's Demonstrations , had changed more things to the worse than is commonly supposed , and those not of small moment , especially in the fifth and ele- venth Books ...
Side 10
... added at the end of the sixth Book . Also the Note on the 29th Proposi- tion , Book 1st , is altered , and made more explicit , and a more general Demonstration is given , instead of that which was in the Note on the 10th Definition of ...
... added at the end of the sixth Book . Also the Note on the 29th Proposi- tion , Book 1st , is altered , and made more explicit , and a more general Demonstration is given , instead of that which was in the Note on the 10th Definition of ...
Side 11
... added to equals , the wholes are equal . III . If equals be taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remainders are unequal ...
... added to equals , the wholes are equal . III . If equals be taken from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be taken from unequals , the remainders are unequal ...
Side 56
... with the square of AC is equal to the square of AD , that is , of AB and BC added together in one straight line . Wherefore , if a straight line , & c . Q. E. D. PROP . IX . THEOR . Ir a straight line 56 BOOK II . THE ELEMENTS OF EUCLID .
... with the square of AC is equal to the square of AD , that is , of AB and BC added together in one straight line . Wherefore , if a straight line , & c . Q. E. D. PROP . IX . THEOR . Ir a straight line 56 BOOK II . THE ELEMENTS OF EUCLID .
Side 110
... added BCD , the whole ABCD is equal to the whole EDCB : and the angle AED stands on the circumference ABCD , and the angle BAE on the circumference EDCB ; therefore the an- gle BAE is equal ( 27. 3. ) to the angle AED : for the same rea ...
... added BCD , the whole ABCD is equal to the whole EDCB : and the angle AED stands on the circumference ABCD , and the angle BAE on the circumference EDCB ; therefore the an- gle BAE is equal ( 27. 3. ) to the angle AED : for the same rea ...
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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 ratio given straight line gnomon greater join less Let ABC meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment 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