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 11
... centre of the circle . XVII . A diameter of a circle is a straight line drawn through the cen- tre , 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 cen- tre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the ...
Side 11
... 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 13
... 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 14
... centre of the circle CGH , BC is equal ( 15. Def . ) to BG ; and because D is the centre of the circle GKL , DL is equal to DG , and DA , DB , parts of them , are equal therefore the remainder AL is equal to the remain- der ( 3. Ax ...
... centre of the circle CGH , BC is equal ( 15. Def . ) to BG ; and because D is the centre of the circle GKL , DL is equal to DG , and DA , DB , parts of them , are equal therefore the remainder AL is equal to the remain- der ( 3. Ax ...
Side 21
... centre C , at the distance CD , describe ( 3 . Post . ) the circle FDG meeting AB in F , G ; and , bisect ( 10. 1. ) FG A F in H , and join CF , CH , CG ; the straight line CH , drawn from the A H D G B given point C , is perpendicular ...
... centre C , at the distance CD , describe ( 3 . Post . ) the circle FDG meeting AB in F , G ; and , bisect ( 10. 1. ) FG A F in H , and join CF , CH , CG ; the straight line CH , drawn from the A H D G B given point C , is perpendicular ...
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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 |
Vanlige uttrykk og setninger
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