The Elements of EuclidLongmans, Green and Company, 1866 - 376 sider |
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Side 172
... equimultiples whatever of the first and third being taken , and any whatever of the second and fourth , if the multiple of the first be equal to that of the second , the multiple of the third is also equal to that of the fourth , or ...
... equimultiples whatever of the first and third being taken , and any whatever of the second and fourth , if the multiple of the first be equal to that of the second , the multiple of the third is also equal to that of the fourth , or ...
Side 173
Euclides. VII . When of the equimultiples of four magnitudes ( taken as in the fifth definition ) , the multiple of the first is greater than that of the second , but the multiple of the third is not ... equimultiples of four magnitudes ...
Euclides. VII . When of the equimultiples of four magnitudes ( taken as in the fifth definition ) , the multiple of the first is greater than that of the second , but the multiple of the third is not ... equimultiples of four magnitudes ...
Side 175
... Equimultiples of the same , or of equal magnitudes , are equal to one another . II . Those magnitudes , of which the same or equal magnitudes are equimultiples , are equal to one another . III . A multiple of a greater magnitude is ...
... Equimultiples of the same , or of equal magnitudes , are equal to one another . II . Those magnitudes , of which the same or equal magnitudes are equimultiples , are equal to one another . III . A multiple of a greater magnitude is ...
Side 176
... equimultiples of as many , each of each , whatever multiple any one of them is of its part , the same multiple shall all the first magnitudes be of all the other . Let any number of magnitudes AB , CD be equimul- tiples of as many ...
... equimultiples of as many , each of each , whatever multiple any one of them is of its part , the same multiple shall all the first magnitudes be of all the other . Let any number of magnitudes AB , CD be equimul- tiples of as many ...
Side 178
... equimultiples , these shall be equimultiples , the one of the second , and the other of the fourth . Let A the first be the same multiple of B the second , that C the third is of D the fourth , and of A and C let the equimultiples EF ...
... equimultiples , these shall be equimultiples , the one of the second , and the other of the fourth . Let A the first be the same multiple of B the second , that C the third is of D the fourth , and of A and C let the equimultiples EF ...
Vanlige uttrykk og setninger
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