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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Σελίδα 17
CD A Notes . ) I. Point is that which has position , but not magnitude * . ** ( See ) II . A line is length ... that they cannot coincide in any two points , “ without coinciding altogether , each of them is called a straight - line .
CD A Notes . ) I. Point is that which has position , but not magnitude * . ** ( See ) II . A line is length ... that they cannot coincide in any two points , “ without coinciding altogether , each of them is called a straight - line .
Σελίδα 18
Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of ... When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the ...
Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of ... When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the ...
Σελίδα 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 .
Σελίδα 21
Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are ... I. Let it be granted that a straight line may be drawn from any one point to any other point .
Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are ... I. Let it be granted that a straight line may be drawn from any one point to any other point .
Σελίδα 22
To describe an equilateral triangle upon a given finite straight line 1 ܪ Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( 3.
To describe an equilateral triangle upon a given finite straight line 1 ܪ Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( 3.
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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