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 61
Pagina 3
... Parallel Lines . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle ...
... Parallel Lines . POSTULATES . I. Let it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle ...
Pagina 4
... parallel to the same straight line . PROPOSITION I. PROBLEM . To describe an equilateral triangle upon a given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From ...
... parallel to the same straight line . PROPOSITION I. PROBLEM . To describe an equilateral triangle upon a given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From ...
Pagina 18
... parallel . * Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate angles AEF , EFD equal to one another ; AB is parallel to CD . For , if it be not parallel , AB and CD being produced shall meet ...
... parallel . * Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate angles AEF , EFD equal to one another ; AB is parallel to CD . For , if it be not parallel , AB and CD being produced shall meet ...
Pagina 19
... parallel to one another . * E Let the straight line EF , which falls upon the two straight lines AB , CD , make the exterior angle EGB equal to GHD , the interior opposite angle , upon the same side ; or let it make the interior angles ...
... parallel to one another . * E Let the straight line EF , which falls upon the two straight lines AB , CD , make the exterior angle EGB equal to GHD , the interior opposite angle , upon the same side ; or let it make the interior angles ...
Pagina 20
... parallel , and since they do not meet towards L and D , they must meet if produced towards K and C. PROP . XXX . THEOR . Straight lines which are parallel to the same straight line are parallel to one another . Let AB , CD be each of ...
... parallel , and since they do not meet towards L and D , they must meet if produced towards K and C. PROP . XXX . THEOR . Straight lines which are parallel to the same straight line are parallel to one another . Let AB , CD be each of ...
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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