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 66
Pagina 6
... take any point F , and from AE the greater cut off AG equal ( I. 3 ) to AF the less , and join FC , GB . A B C G E Because AF is equal to AG , and AB to AC , the two sides FA , AC are equal to the two GA , AB , each to each ; and they ...
... take any point F , and from AE the greater cut off AG equal ( I. 3 ) to AF the less , and join FC , GB . A B C G E Because AF is equal to AG , and AB to AC , the two sides FA , AC are equal to the two GA , AB , each to each ; and they ...
Pagina 9
... Take any point D in AB , and from AC cut ( I. 3 ) off AE equal to AD ; join DE , and upon it describe ( I. 1 ) an equilateral triangle DEF ; then join AF` ; the straight line AF bisects the angle BAC . Because AD is equal to AE , and AF ...
... Take any point D in AB , and from AC cut ( I. 3 ) off AE equal to AD ; join DE , and upon it describe ( I. 1 ) an equilateral triangle DEF ; then join AF` ; the straight line AF bisects the angle BAC . Because AD is equal to AE , and AF ...
Pagina 10
... Take any point D upon the other side of AB , and from the centre C , at the distance CD , describe ( Post . 3 ) the circle EGF meeting AB in F , and bisect ( I. 10 ) FG in H , and join CF , CH , CG ; the straight line CH , drawn from ...
... Take any point D upon the other side of AB , and from the centre C , at the distance CD , describe ( Post . 3 ) the circle EGF meeting AB in F , and bisect ( I. 10 ) FG in H , and join CF , CH , CG ; the straight line CH , drawn from ...
Pagina 11
... Take away the common angle ABC , and the remaining angle ABE is equal ( Ax . 3 ) to the remaining angle ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And in like manner ...
... Take away the common angle ABC , and the remaining angle ABE is equal ( Ax . 3 ) to the remaining angle ABD , the less to the greater , which is impossible ; therefore BE is not in the same straight line with BC . And in like manner ...
Pagina 12
... Take away common angle AED , and the remaining angle CEA is equal ( Ax . 3 ) to the re- maining angle DEB . In the same man- ner , it may be ' demonstrated , that the angles CEB , AED are equal . Therefore , if two straight lines , & e ...
... Take away common angle AED , and the remaining angle CEA is equal ( Ax . 3 ) to the re- maining angle DEB . In the same man- ner , it may be ' demonstrated , that the angles CEB , AED are equal . Therefore , if two straight lines , & e ...
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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