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 39
Pagina 6
... remaining angles of the one must coincide with the remaining angles of the other , and be equal to them , viz . , the angle ABC to the angle DEF , and the angle ACB to the angle DFE . There- fore , if two triangles have two sides of the ...
... remaining angles of the one must coincide with the remaining angles of the other , and be equal to them , viz . , the angle ABC to the angle DEF , and the angle ACB to the angle DFE . There- fore , if two triangles have two sides of the ...
Pagina 11
... angle DBA is equal to the two angles DBE , EBA ; add to each of these equals the angle ABC ; then will the two ... remaining angle ABE is equal ( Ax . 3 ) to the remaining angle ABD , the less to the greater , which is impossible ...
... angle DBA is equal to the two angles DBE , EBA ; add to each of these equals the angle ABC ; then will the two ... remaining angle ABE is equal ( Ax . 3 ) to the remaining angle ABD , the less to the greater , which is impossible ...
Pagina 12
... 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 . Q. E. D , A B D ...
... 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 . Q. E. D , A B D ...
Pagina 19
... angle equal to the interior opposite angle , upon the same side of the line , or makes the interior angles upon the ... remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles : therefore AB is parallel to ...
... angle equal to the interior opposite angle , upon the same side of the line , or makes the interior angles upon the ... remaining angle AGH is equal to the remaining angle GHD ; and they are alternate angles : therefore AB is parallel to ...
Pagina 23
... angle of the one to the third angle of the other ( I. 26 ) , viz . , the side AB to the side CD , and AC to BD , and ... remain- der DF ; now AB is also equal to DC ; therefore the two AE , AB are equal to the two FD , DC , each to each ; but ...
... angle of the one to the third angle of the other ( I. 26 ) , viz . , the side AB to the side CD , and AC to BD , and ... remain- der DF ; now AB is also equal to DC ; therefore the two AE , AB are equal to the two FD , DC , each to each ; but ...
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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