Elements of Geometry, Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids: To which are Added, Elements of Plane and Spherical TrignonometryBell & Bradfute, 1875 - 257 pagine |
Dall'interno del libro
Risultati 1-5 di 77
Pagina 3
... produced ever so far both ways , do not meet , are called Parallel Lines . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced ...
... produced ever so far both ways , do not meet , are called Parallel Lines . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced ...
Pagina 4
... produce ( Post . 2 ) the straight lines DA , DB , to E and F ; from the centre B , at the distance BC , describe ( Post . 3 ) the circle CGH , and from the centre D , at the dis- tance DG , describe the circle GKL . The straight c line ...
... produce ( Post . 2 ) the straight lines DA , DB , to E and F ; from the centre B , at the distance BC , describe ( Post . 3 ) the circle CGH , and from the centre D , at the dis- tance DG , describe the circle GKL . The straight c line ...
Pagina 6
... produced , the angles upon the other side of the base shall also be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC be produced to D and E ; the angle ABC shall be ...
... produced , the angles upon the other side of the base shall also be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight lines AB , AC be produced to D and E ; the angle ABC shall be ...
Pagina 8
... produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( I. 5 ) to one another , but the angle ECD is greater than the angle BCD ( Ax . 9 ) ...
... produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( I. 5 ) to one another , but the angle ECD is greater than the angle BCD ( Ax . 9 ) ...
Pagina 10
... produced to any length both ways , and let C be a point without it . It is required to draw a straight line perpendicular to AB from the point C. G ; A- H E B Take any point D upon the other side of AB , and from the centre C , at the ...
... produced to any length both ways , and let C be a point without it . It is required to draw a straight line perpendicular to AB from the point C. G ; A- H E B Take any point D upon the other side of AB , and from the centre C , at the ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Anteprima non disponibile - 2021 |
Parole e frasi comuni
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore given circle given point given straight line hypotenuse inscribed less Let ABC Let the straight meet multiple opposite angle parallel parallelogram perpendicular plane polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles segment semicircle similar sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC straight line drawn tangent THEOR third three straight lines touches the circle triangle ABC triangle DEF wherefore