The Elements of Euclid: Viz. the First Six Books Together, with the Eleventh and Twelfth ... Also the Book of Euclid's Data ...A. & J. Duncan for Bell & Bradfute, 1817 - 538 σελίδες |
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Σελίδα 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 ...
Σελίδα 13
... centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same are equal to one an- other . 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 an- other . II . If equals be added to equals the wholes are equal . III . If equals be taken from equals , the remainders are ...
Σελίδα 15
... centre A , at the dis- tance AB , describe the circle 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 CA , CBtothe points ...
... centre A , at the dis- tance AB , describe the circle 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 CA , CBtothe points ...
Σελίδα 16
... centre of the circle CGH , BC is equale 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 remainder BG : But it has been ...
... centre of the circle CGH , BC is equale 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 remainder BG : But it has been ...
Σελίδα 23
... centre C , at the distance CD , describe the circle EGF b 3. Post . meeting AB in F , G ; and bi- H sect FG in H , and join CF , A F G В с 10 c 10.1 . CH , CG ; the straight line D CH , drawn from the given e d 1 . point C , is ...
... centre C , at the distance CD , describe the circle EGF b 3. Post . meeting AB in F , G ; and bi- H sect FG in H , and join CF , A F G В с 10 c 10.1 . CH , CG ; the straight line D CH , drawn from the given e d 1 . point C , is ...
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altitude angle ABC angle BAC arch base BC BC is equal BC is given bisected Book XI 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 opposite parallel parallelogram perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopiped square of AC straight line AB straight line BC tangent THEOR third tiple triangle ABC vertex wherefore