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 26
Pagina 18
... falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines are parallel . * Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate angles AEF ...
... falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines are parallel . * Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate angles AEF ...
Pagina 19
... falling upon two other straight lines makes the exterior angle equal to the interior opposite angle , upon the same ... fall upon the parallel straight lines AB , CD ; the alternate angles AGH , GHD are equal to one another ; and the ...
... falling upon two other straight lines makes the exterior angle equal to the interior opposite angle , upon the same ... fall upon the parallel straight lines AB , CD ; the alternate angles AGH , GHD are equal to one another ; and the ...
Pagina 21
... falls upon them , the exte- rior angle ECD is equal to the interior opposite angle ABC ; but the angle ACE was shown to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two inte- rior opposite angles ...
... falls upon them , the exte- rior angle ECD is equal to the interior opposite angle ABC ; but the angle ACE was shown to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two inte- rior opposite angles ...
Pagina 28
... falls upon the parallels AH , EF , the angles AHF , HFE are together equal ( I. 29 ) to two right angles ; wherefore the angles BHF , HFE are less than two right angles ; but straight lines which with another straight line make the ...
... falls upon the parallels AH , EF , the angles AHF , HFE are together equal ( I. 29 ) to two right angles ; wherefore the angles BHF , HFE are less than two right angles ; but straight lines which with another straight line make the ...
Pagina 33
... falls upon them , the exterior angle BGC is equal ( I. 29 ) to the interior and opposite angle ADB ; but ADB is equal ( I. 5 ) to the angle ABD , because BA is equal to AD , being sides of a square ; wherefore the angle CGB is equal to ...
... falls upon them , the exterior angle BGC is equal ( I. 29 ) to the interior and opposite angle ADB ; but ADB is equal ( I. 5 ) to the angle ABD , because BA is equal to AD , being sides of a square ; wherefore the angle CGB is equal to ...
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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