Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., EnlJ.B. Lippincott & Company, 1866 - 317 Seiten |
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Seite 61
... inscribed in a circle , when the extremities of it are in the circumference of the circle . And any straight line which meets the circle in two points , is called a secant . 5. A segment of a circle is the figure con- tained by a ...
... inscribed in a circle , when the extremities of it are in the circumference of the circle . And any straight line which meets the circle in two points , is called a secant . 5. A segment of a circle is the figure con- tained by a ...
Seite 62
... inscribed triangle , is one which has its three angular points in the circumference . And , generally , an inscribed figure is one , of which all the angles are in the circumference . The circle is said to circumscribe such a figure . 7 ...
... inscribed triangle , is one which has its three angular points in the circumference . And , generally , an inscribed figure is one , of which all the angles are in the circumference . The circle is said to circumscribe such a figure . 7 ...
Seite 76
... inscribed in a circle . PROP . XXIII . THEOR . Upon the same straight line , and upon the same side of it , there cannot be two similar segments of circles , not coinciding with one another . If it be possible , let the two similar ...
... inscribed in a circle . PROP . XXIII . THEOR . Upon the same straight line , and upon the same side of it , there cannot be two similar segments of circles , not coinciding with one another . If it be possible , let the two similar ...
Seite 91
... inscribed in another rectilinea figure , when all the angles of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . 2 In like manner , a figure is said to be described about another figure ...
... inscribed in another rectilinea figure , when all the angles of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . 2 In like manner , a figure is said to be described about another figure ...
Seite 92
... inscribed in a circle , and circumscribed about one Let ABCDE , & c . be a regular polygon : describe a circle through the three points A , B , C , the centre being O , and OP the perpendicular let fall from it , to the middle point of ...
... inscribed in a circle , and circumscribed about one Let ABCDE , & c . be a regular polygon : describe a circle through the three points A , B , C , the centre being O , and OP the perpendicular let fall from it , to the middle point of ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore