The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 2
... circum- ference , and is such that all straight lines , drawn from a certain point within the figure to the circumference , are equal to one another . Ө XVI . And this point is called the centre of 2 EUCLID'S ELEMENTS .
... circum- ference , and is such that all straight lines , drawn from a certain point within the figure to the circumference , are equal to one another . Ө XVI . And this point is called the centre of 2 EUCLID'S ELEMENTS .
Página 3
Euclides. XVI . And this point is called the centre of the circle . XVII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the cir- cumference . xvII . A semicircle is the figure contained ...
Euclides. XVI . And this point is called the centre of the circle . XVII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the cir- cumference . xvII . A semicircle is the figure contained ...
Página 4
... centre , at any distance from that centre . AXIOMS . 1. Things that are equal to the same thing are equal to one another . II . If equals be added to equals , the 4 EUCLID'S ELEMENTS .
... centre , at any distance from that centre . AXIOMS . 1. Things that are equal to the same thing are equal to one another . II . If equals be added to equals , the 4 EUCLID'S ELEMENTS .
Página 6
... centre A , at the distance AB , describe the circle BCD ( Postulate 3 ) , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , at which the circles cut one another , draw the straight lines CA ...
... centre A , at the distance AB , describe the circle BCD ( Postulate 3 ) , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , at which the circles cut one another , draw the straight lines CA ...
Página 7
... centre B , at the distance BC , describe the circle CGH , and from the centre D , at the distance DG , describe the circle GKL : AL shall be equal to BC . Because the point B is the centre of the circle CGH , BC is equal to BG : And ...
... centre B , at the distance BC , describe the circle CGH , and from the centre D , at the distance DG , describe the circle GKL : AL shall be equal to BC . Because the point B is the centre of the circle CGH , BC is equal to BG : And ...
Términos y frases comunes
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore