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 46
Pagina 1
... Hence , two straight lines cannot enclose a space . Neither can two straight lines have a common segment ; for they can- not coincide in part , without coinciding altogether . IV . A superficies is that which has only length and breadth ...
... Hence , two straight lines cannot enclose a space . Neither can two straight lines have a common segment ; for they can- not coincide in part , without coinciding altogether . IV . A superficies is that which has only length and breadth ...
Pagina 7
... Hence , every equilateral triangle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which subtend , or are opposite to them , are also equal to one another . Let ABC be a triangle ...
... Hence , every equilateral triangle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which subtend , or are opposite to them , are also equal to one another . Let ABC be a triangle ...
Pagina 12
... hence , all the ( simple consecutive ) angles made by any number of straight lines meeting in one point , are to- gether equal to four right angles . PROP . XVI . THEOR . If one side of a triangle is produced , the exterior angle is ...
... hence , all the ( simple consecutive ) angles made by any number of straight lines meeting in one point , are to- gether equal to four right angles . PROP . XVI . THEOR . If one side of a triangle is produced , the exterior angle is ...
Pagina 29
... Hence every parallelogram that has one right angle has all its angles right angles . PROP . XLVII . THEOR . B In any right - angled triangle , the square which is described upon the side subtending the right angle , is equal to the ...
... Hence every parallelogram that has one right angle has all its angles right angles . PROP . XLVII . THEOR . B In any right - angled triangle , the square which is described upon the side subtending the right angle , is equal to the ...
Pagina 35
... Hence , the sum of the squares of any two lines is equal to twice the rectangle contained by the lines , together with the square of the difference of the lines . PROP . VIII . THEOR . If a straight line be divided into any two parts ...
... Hence , the sum of the squares of any two lines is equal to twice the rectangle contained by the lines , together with the square of the difference of the lines . PROP . VIII . THEOR . If a straight line be divided into any two parts ...
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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