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 64
Pagina 1
... common segment ; for they can- not coincide in part , without coinciding altogether . IV . A superficies is that which has only length and breadth . COR . The extremities of a superficies are lines ; and the inter- sections of one ...
... common segment ; for they can- not coincide in part , without coinciding altogether . IV . A superficies is that which has only length and breadth . COR . The extremities of a superficies are lines ; and the inter- sections of one ...
Pagina 6
... common to the two triangles AFC , AGB ; therefore the base FC is equal ( I. 4 ) to the base GB , and the triangle AFC to the triangle AGB ; and the remaining angles of the one are equal ( I. 4 ) to the remaining angles of the other ...
... common to the two triangles AFC , AGB ; therefore the base FC is equal ( I. 4 ) to the base GB , and the triangle AFC to the triangle AGB ; and the remaining angles of the one are equal ( I. 4 ) to the remaining angles of the other ...
Pagina 7
... common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is also equal to the angle ACB ; therefore the base DC is equal to the base AB , and the area of the triangle DBC is B equal to that ...
... common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is also equal to the angle ACB ; therefore the base DC is equal to the base AB , and the area of the triangle DBC is B equal to that ...
Pagina 9
... common to the two tri- angles ACD , BCD ; the two sides AC , CD are equal to the two BC , CD , each to each : but the angle ACD is also equal to the angle BCD ; therefore the base AD is equal to the base ( I. 4 ) DB , and the straight ...
... common to the two tri- angles ACD , BCD ; the two sides AC , CD are equal to the two BC , CD , each to each : but the angle ACD is also equal to the angle BCD ; therefore the base AD is equal to the base ( I. 4 ) DB , and the straight ...
Pagina 10
... common to the two triangles FHC , GHC , the two sides FH , HC are equal to the two GH , HC , each to each ; but the base CF is also equal ( Def . 11 ) to the base CG ; therefore the angle CHF is equal ( I. 8 ) to the angle CHG ; and ...
... common to the two triangles FHC , GHC , the two sides FH , HC are equal to the two GH , HC , each to each ; but the base CF is also equal ( Def . 11 ) to the base CG ; therefore the angle CHF is equal ( I. 8 ) to the angle CHG ; and ...
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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