Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry |
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Página vii
... and the circumference of a circle , are left out , as tending to perplex one who has advanced no farther than the elements of the science . The 27th , 28th , and 29th of the sixth are changed for easier and more simple propositions ...
... and the circumference of a circle , are left out , as tending to perplex one who has advanced no farther than the elements of the science . The 27th , 28th , and 29th of the sixth are changed for easier and more simple propositions ...
Página viii
... especially as they are not more difficult than other propositions which are usually admitted into them . When I speak of the rectification of the circle , or of measuring the length of the circumference , I must not be supposed ...
... especially as they are not more difficult than other propositions which are usually admitted into them . When I speak of the rectification of the circle , or of measuring the length of the circumference , I must not be supposed ...
Página ix
... little from one another , not more , for instance , than the four hundred and ninety - seventh part of the diameter of the circle , and of which the one shall be greater than the circumference of that circle , and the other less .
... little from one another , not more , for instance , than the four hundred and ninety - seventh part of the diameter of the circle , and of which the one shall be greater than the circumference of that circle , and the other less .
Página 19
A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another . XII .
A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference , are equal to one another . XII .
Página 66
A. TH HE radius of a circle is the straight line drawn from the centre to the circumference . 1 . A straight line is said to touch a circle , when it meets the circle , and being produced does not cut it . II . Circles are said to touch ...
A. TH HE radius of a circle is the straight line drawn from the centre to the circumference . 1 . A straight line is said to touch a circle , when it meets the circle , and being produced does not cut it . II . Circles are said to touch ...
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ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole