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 60
Pagina 3
... described from any centre , at any distance from that centre . AXIOMS . I. Things which are equal to the same thing are equal to one another . * II . If equals be added to equals , the wholes are equal . III . If equals be taken from ...
... described from any centre , at any distance from that centre . AXIOMS . I. Things which are equal to the same thing are equal to one another . * II . If equals be added to equals , the wholes are equal . III . If equals be taken from ...
Pagina 4
... described upon the given straight line AB . Which was required to be done . PROP . II . PROB . From a given point to draw a straight line equal to a given straight line . K Let A be the given point , and BC the given straight line ; it ...
... described upon the given straight line AB . Which was required to be done . PROP . II . PROB . From a given point to draw a straight line equal to a given straight line . K Let A be the given point , and BC the given straight line ; it ...
Pagina 27
... described , equal to a given triangle ABC , and having one of its angles CEF equal to the given angle D. Which was to be done . PROP . XLIII . THEOR . The complements of the parallelograms which are about the diagonal of any ...
... described , equal to a given triangle ABC , and having one of its angles CEF equal to the given angle D. Which was to be done . PROP . XLIII . THEOR . The complements of the parallelograms which are about the diagonal of any ...
Pagina 29
... described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to ... described upon the side subtending the right angle , is equal to the squares de- scribed upon the sides which ...
... described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to ... described upon the side subtending the right angle , is equal to the squares de- scribed upon the sides which ...
Pagina 30
... described upon one of the sides of a triangle is equal to the squares described upon the other two sides of it , the angle contained by these two sides is a right angle . If the square described upon BC , one of the sides of the ...
... described upon one of the sides of a triangle is equal to the squares described upon the other two sides of it , the angle contained by these two sides is a right angle . If the square described upon BC , one of the sides of the ...
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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