The Elements of EuclidLongmans, Green and Company, 1866 - 376 sider |
Inni boken
Resultat 1-5 av 59
Side 2
... 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 called the centre of 2 EUCLID'S ELEMENTS .
... 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 called the centre of 2 EUCLID'S ELEMENTS .
Side 3
... circumference it cuts off . XIX . A 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 ...
... circumference it cuts off . XIX . A 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 ...
Side 53
... circumference by means of a pair of compasses only . 16. From a given point draw three lines of given lengths , so that their extremities may be in one line , and equally distant from each other . 17. In the figure , Euc . 1. 5 , if BG ...
... circumference by means of a pair of compasses only . 16. From a given point draw three lines of given lengths , so that their extremities may be in one line , and equally distant from each other . 17. In the figure , Euc . 1. 5 , if BG ...
Side 56
... circumference at D , E , and F be the other point of intersection of the circles , shew that DF , EF are in one line . 44. Trisect a right angle . 45. One of the acute angles of a right - angled triangle is three times as great as the ...
... circumference at D , E , and F be the other point of intersection of the circles , shew that DF , EF are in one line . 44. Trisect a right angle . 45. One of the acute angles of a right - angled triangle is three times as great as the ...
Side 82
... circumference , perpendicular to AB ; bisect CB at E , join DE , and produce CB to F , making EF equal to DE : F shall be the point required . B For the rectangle CF , FB to- gether with the square on CE is equal to the square on EF ...
... circumference , perpendicular to AB ; bisect CB at E , join DE , and produce CB to F , making EF equal to DE : F shall be the point required . B For the rectangle CF , FB to- gether with the square on CE is equal to the square on 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