The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 3
... 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 the circle . XVII . A diameter of a circle ...
... 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 the circle . XVII . A diameter of a circle ...
Page 67
... circumferences are equal " This is not a definition , but a theorem , the truth of which is evident ; for , if the circles be applied to one another , so that their centres coin- cide , the circles must likewise coincide , since the ...
... circumferences are equal " This is not a definition , but a theorem , the truth of which is evident ; for , if the circles be applied to one another , so that their centres coin- cide , the circles must likewise coincide , since the ...
Page 68
... circumference intercepted beween the straight lines that contain the angle . X. A sector of a circle is the figure contained by two straight lines drawn from the centre , and the circumference between them . XI . Similar segments of ...
... circumference intercepted beween the straight lines that contain the angle . X. A sector of a circle is the figure contained by two straight lines drawn from the centre , and the circumference between them . XI . Similar segments of ...
Page 69
... . In N. B. Whenever the expression " straight lines from the centre , " or drawn " from the centre , " occurs , it is to bo understood that they are drawn to the circumference . 1 . 1.3 * 5.1 . the same manner it BOOK III . 69 PROP . I.
... . In N. B. Whenever the expression " straight lines from the centre , " or drawn " from the centre , " occurs , it is to bo understood that they are drawn to the circumference . 1 . 1.3 * 5.1 . the same manner it BOOK III . 69 PROP . I.
Page 70
... 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 circumference ; 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 circumference ; the straight line drawn from A to B shall fall within the circle . For ...
Other editions - View all
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid No preview available - 2015 |
The Elements of Euclid: Viz. the First Six Books, Together With the Eleventh ... Euclid No preview available - 2023 |
Common terms and phrases
AB is equal altitude angle ABC angle ACB angle BAC angle EDF base BC base DEF BC is equal bisected centre circle ABCD circle EFGH circumference cone Const cylinder described diameter draw equal angles equal to AC equiangular equilateral equimultiples exterior angle fore given rectilineal given straight line gnomon inscribed join less Let ABC multiple parallel parallelogram perpendicular point F polygon prism PROB pyramid ABCG pyramid DEFH Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle solid CD solid parallelopiped sphere square of AC straight line AB straight line AC THEOR three plane angles tiple touches the circle triangle ABC triangle DEF triplicate ratio wherefore whole