The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 páginas |
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... segment of a circle is the figure contained by a straight line , and the circumference it cuts off . XX . Rectilineal figures , are those which are contained by straight lines . XXI . Trilateral figures , or triangles , by three ...
... segment of a circle is the figure contained by a straight line , and the circumference it cuts off . XX . Rectilineal figures , are those which are contained by straight lines . XXI . Trilateral figures , or triangles , by three ...
Página 10
... segment . a e If it be possible , let the two straight lines abc , abd have the seg- ment ab common to both of them . From the point b draw be at right angles to ab ; and because abc is a straight line , the angle cbe is equal ( 10 def ...
... segment . a e If it be possible , let the two straight lines abc , abd have the seg- ment ab common to both of them . From the point b draw be at right angles to ab ; and because abc is a straight line , the angle cbe is equal ( 10 def ...
Página 46
... segments of the base , is equal to the square described upon either of the equal sides . 6. The difference between the squares of two unequal straight lines is equal to the rectangle contained by their sum and difference . 7. If a ...
... segments of the base , is equal to the square described upon either of the equal sides . 6. The difference between the squares of two unequal straight lines is equal to the rectangle contained by their sum and difference . 7. If a ...
Página 47
... segment of a circle is the figure contained by a straight line and the circumference it cuts off . Definition VI . VII . The angle of a segment is that which BOOK III . DEFINITIONS , Definitions.
... segment of a circle is the figure contained by a straight line and the circumference it cuts off . Definition VI . VII . The angle of a segment is that which BOOK III . DEFINITIONS , Definitions.
Página 48
... segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight line which is the base of the segment . IX . And an angle is said to insist or stand upon ...
... segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight line which is the base of the segment . IX . And an angle is said to insist or stand upon ...
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Términos y frases comunes
ac is equal adjacent angles alternate angles angle abc angle acb angle bac angle edf angle equal base bc bisected centre circle abc diameter double draw duplicate ratio equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given rectilineal figure given straight line gnomon greater ratio greater than f ILLUSTRATED LONDON inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular produced Q. E. D. PROPOSITION rectangle contained remaining angle right angles segment semicircle shewn side bc similar and similarly square of ac straight line ab straight line ac straight line drawn THEOREM tiple touches the circle triangle abc triangle def twice the rectangle