The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 1
... plane superficies is that in which , any two points being taken , the straight line between them lies wholly in that superficies . VIII , A plane angle is the inclination of two lines to one another in a plane , which meet together ...
... plane superficies is that in which , any two points being taken , the straight line between them lies wholly in that superficies . VIII , A plane angle is the inclination of two lines to one another in a plane , which meet together ...
Página 2
... plane figure contained by one line , which is called the 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 ...
... plane figure contained by one line , which is called the 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 ...
Página 4
... plane , and , being produced ever so far both ways , do not meet . POSTULATES . Let it be granted , 1. 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 ...
... plane , and , being produced ever so far both ways , do not meet . POSTULATES . Let it be granted , 1. 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 ...
Página 141
... sums of the squares on the two lines joining their extremities , and also the sum of the squares on the four segments , are each equal to the square on the diameter . 88. If there be any three circles in a plane BOOK III . 141.
... sums of the squares on the two lines joining their extremities , and also the sum of the squares on the four segments , are each equal to the square on the diameter . 88. If there be any three circles in a plane BOOK III . 141.
Página 142
Euclides. 88. If there be any three circles in a plane , and , through the centres of every two of them , a circle be ... plane locus is a line or path , such that every point in it , and no point out of it , satisfies certain conditions ...
Euclides. 88. If there be any three circles in a plane , and , through the centres of every two of them , a circle be ... plane locus is a line or path , such that every point in it , and no point out of it , satisfies certain conditions ...
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