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 σελίδες |
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Σελίδα 11
... 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 circumference cut off ...
... 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 circumference cut off ...
Σελίδα 13
... circle ACE ; and from the point C , in which the circles cut one another , draw the straight lines ( 2. Post . ) CA , CB to the points A , B ; ABC shall be an equilateral triangle . A C E Because the point A is the ' centre of the circle ...
... circle ACE ; and from the point C , in which the circles cut one another , draw the straight lines ( 2. Post . ) CA , CB to the points A , B ; ABC shall be an equilateral triangle . A C E Because the point A is the ' centre of the circle ...
Σελίδα 14
... circle GKL , DL is equal to DG , and DA , DB , parts of them , are equal therefore the remainder AL is equal to the ... circle DEF ; and because A D B A F B is the centre of the circle DEF , AE shall be equal to AD ; but the straight ...
... circle GKL , DL is equal to DG , and DA , DB , parts of them , are equal therefore the remainder AL is equal to the ... circle DEF ; and because A D B A F B is the centre of the circle DEF , AE shall be equal to AD ; but the straight ...
Σελίδα 27
... circle DKL : and from the centre G , at the distance GH , describe ( 3 . Post . ) another circle HLK ; and join KF , KG ; the tri- angle KFG has its sides K D G H L equal to the three straight lines A , B , C. Because the point F is the ...
... circle DKL : and from the centre G , at the distance GH , describe ( 3 . Post . ) another circle HLK ; and join KF , KG ; the tri- angle KFG has its sides K D G H L equal to the three straight lines A , B , C. Because the point F is the ...
Σελίδα 65
... circles be applied to one another , so that their centres coincide , the circles must likewise coincide , since the straight lines from the centre are equal . ' II . A straight line is said to touch a cir- cle , when it meets the circle ...
... circles be applied to one another , so that their centres coincide , the circles must likewise coincide , since the straight lines from the centre are equal . ' II . A straight line is said to touch a cir- cle , when it meets the circle ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 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