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 93
Pagina 2
... angle ABC , or CBA ; that which is con- tained by AB , BD , is named the angle ABD , or DBA ; and that which is contained by DB , CB , is called the angle DBC , or CBD ; but if there be - only one angle at a point , it may be expressed ...
... angle ABC , or CBA ; that which is con- tained by AB , BD , is named the angle ABD , or DBA ; and that which is contained by DB , CB , is called the angle DBC , or CBD ; but if there be - only one angle at a point , it may be expressed ...
Pagina 4
... angles are equal to one another . XI . Two straight lines which intersect one ... ABC is an equilateral triangle . B E O A Because the point A is the centre ... angle DAB , and produce ( Post . 2 ) the straight lines DA , DB , to E and F ...
... angles are equal to one another . XI . Two straight lines which intersect one ... ABC is an equilateral triangle . B E O A Because the point A is the centre ... angle DAB , and produce ( Post . 2 ) the straight lines DA , DB , to E and F ...
Pagina 5
... angle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . , the angle B C E ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to ...
... angle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . , the angle B C E ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to ...
Pagina 6
... angle BAC is equal to the angle EDF ; where- fore also the point C must ... ABC must coincide with the whole triangle DEF , so that the spaces which ... angle ABC to the angle DEF , and the angle ACB to the angle DFE . There- fore , if ...
... angle BAC is equal to the angle EDF ; where- fore also the point C must ... ABC must coincide with the whole triangle DEF , so that the spaces which ... angle ABC to the angle DEF , and the angle ACB to the angle DFE . There- fore , if ...
Pagina 8
... angle ECD is greater than the angle BCD ( Ax . 9 ) ; wherefore the angle FDC is likewise greater than BCD ; much ... ABC , DEF be two trian- gles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz . , AB to DE ...
... angle ECD is greater than the angle BCD ( Ax . 9 ) ; wherefore the angle FDC is likewise greater than BCD ; much ... ABC , DEF be two trian- gles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz . , AB to DE ...
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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