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 O F Euclid's Data in Like Manner CorrectedF. Wingrave, 1809 - 531 sider |
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Side 3
... centre of the circle . XVII . A diameter of a circle is a straight line drawn through the See N , centre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the ...
... centre of the circle . XVII . A diameter of a circle is a straight line drawn through the See N , centre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the ...
Side 5
... centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from equals , the remainders are ...
... centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same are equal to one another . II . If equals be added to equals , the wholes are equal . III . If equals be taken from equals , the remainders are ...
Side 7
... centre of the circle BCD , AC is equal to AB ; and because the point B is the centre of the 15 Defini- circle ACE , BC is equal to BA : But it has been proved that tion . CA is equal to AB ; therefore CA , CB are each of them equal to ...
... centre of the circle BCD , AC is equal to AB ; and because the point B is the centre of the 15 Defini- circle ACE , BC is equal to BA : But it has been proved that tion . CA is equal to AB ; therefore CA , CB are each of them equal to ...
Side 8
... centre of the circle CGH , BC is equale to BG ; and because D is the centre ofthe circle GKL , 15 Def . DL is equal to DG , and DA , DB , parts of them , are equal ; f3 Ax . therefore the remainder AL is equal to the remainder BG : But ...
... centre of the circle CGH , BC is equale to BG ; and because D is the centre ofthe circle GKL , 15 Def . DL is equal to DG , and DA , DB , parts of them , are equal ; f3 Ax . therefore the remainder AL is equal to the remainder BG : But ...
Side 15
... centre C , at the distance CD , describe the circle EGF meet - A ing AB in FG ; and bisect FG in H , and join CF , CH , CG ; H B D the straight line CH , drawn from the given point C , is per- pendicular to the given straight line AB ...
... centre C , at the distance CD , describe the circle EGF meet - A ing AB in FG ; and bisect FG in H , and join CF , CH , CG ; H B D the straight line CH , drawn from the given point C , is per- pendicular to the given straight line AB ...
Andre utgaver - Vis alle
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Ingen forhåndsvisning tilgjengelig - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABC circumference common logarithm cone cylinder demonstrated described diameter 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 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 sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR tiple triangle ABC triplicate ratio vertex