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 8
... the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another : XVI . And this point is called the centre of 8 BOOK I. THE ELEMENTS OF EUCLID .
... the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another : XVI . And this point is called the centre of 8 BOOK I. THE ELEMENTS OF EUCLID .
Side 9
... centre of the circle . XVII . A diameter of a circle is à straight line drawn through the 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 à straight line drawn through the centre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the ...
Side 10
... centre , at any dis- tance 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 100 BOOK I. 10 ...
... centre , at any dis- tance 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 100 BOOK I. 10 ...
Side 12
... centre A , at the distance AB , describe ( 3. Postulate . ) the cir- cle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one another , draw the straight lines ...
... centre A , at the distance AB , describe ( 3. Postulate . ) the cir- cle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one another , draw the straight lines ...
Side 13
... centre A , and at the dis- tance AD , describe ( 3. Post . ) the circle DEF ; and because A is the centre of the circle DEF , AE shall be equal to AD ; but the straight line C is likewise equal to AD ; whence AE and C are each of them ...
... centre A , and at the dis- tance AD , describe ( 3. Post . ) the circle DEF ; and because A is the centre of the circle DEF , AE shall be equal to AD ; but the straight line C is likewise equal to AD ; whence AE and C are each of them ...
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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