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 17
If two lines are such that they cannot coincide in any two points , “ without coinciding altogether , each of them is called a straight - line . ” " Cor . Hence two straight lines cannot inclose a space . Neither can “ two straight ...
If two lines are such that they cannot coincide in any two points , “ without coinciding altogether , each of them is called a straight - line . ” " Cor . Hence two straight lines cannot inclose a space . Neither can “ two straight ...
Página 18
A D $ 9 $ E B с N. B. " When several angles are at one point B , any one of them is expressed by three letters , of which the letter that is at the ver' tex of the apgle , that is , at the point in which the straight lines that crintain ...
A D $ 9 $ E B с N. B. " When several angles are at one point B , any one of them is expressed by three letters , of which the letter that is at the ver' tex of the apgle , that is , at the point in which the straight lines that crintain ...
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 21
I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle may be described from any ...
I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle may be described from any ...
Página 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 ... and from the point C , in D A B E which the circles cut one another , draw the straight lines ( 1.
To describe an equilateral triangle upon a given finite straight line 1 ܪ Let AB be the given straight line ; it is required to ... and from the point C , in D A B E which the circles cut one another , draw the straight lines ( 1.
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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