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 σελίδες |
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Σελίδα 3
... circumference , and is such that all straight lines drawn from a certain point within the figure to the cir ... circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the circumference cut off by the ...
... circumference , and is such that all straight lines drawn from a certain point within the figure to the cir ... circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the circumference cut off by the ...
Σελίδα 60
... circumference . " VIII . An angle in a segment is the angle con- tained by two straight lines drawn from any point in the circumference of the segment , to the extremities of the straight line which is the base of the segment . IX . TA ...
... circumference . " VIII . An angle in a segment is the angle con- tained by two straight lines drawn from any point in the circumference of the segment , to the extremities of the straight line which is the base of the segment . IX . TA ...
Σελίδα 61
... circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points in the circum- ference ; the straight line drawn from A to B shall fall within the circle . For ...
... circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points in the circum- ference ; the straight line drawn from A to B shall fall within the circle . For ...
Σελίδα 62
... circumference ; it falls therefore within it . Wherefore , if any two points , & c . Q. E. D. . 1. 3 . PROP . III . THEOR . IF a straight line drawn through the centre of a circle bisect a straight line in it which does not pass through ...
... circumference ; it falls therefore within it . Wherefore , if any two points , & c . Q. E. D. . 1. 3 . PROP . III . THEOR . IF a straight line drawn through the centre of a circle bisect a straight line in it which does not pass through ...
Σελίδα 65
... circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and , of any others , that which is nearer to the line which passes through the centre is always greater than one more ...
... circumference , the greatest is that in which the centre is , and the other part of that diameter is the least ; and , of any others , that which is nearer to the line which passes through the centre is always greater than one more ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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