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" If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the too interior angles upon the same side together... "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Σελίδα 39
των John Playfair - 1819 - 317 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 σελίδες
...fame fide together equal to two right angles. Let the ftraight line EF fall upon the parallel ftraight lines AB, CD. the alternate angles AGH, GHD are equal...the exterior angle EGB is equal to the interior and oppofite, upon the fame fide, GHD; and the two interior angles BGH, GHD upon the fame fide are together...

The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 σελίδες
...fame fide together equal to two right angles. Let the ftraight line EF fall upon the parallel ftraight lines AB, CD ; the alternate angles AGH, GHD are equal...the exterior angle EGB is equal to the interior and oppofite, upon the fame fide, • GHD ; and the two interior • angles BGH, GHD upon the fame fide...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 σελίδες
...fame fide together equal to two right angles. Let the ftraight line EF fall upon the parallel ftraight lines AB, CD ; the alternate angles AGH, GHD are equal...the exterior angle EGB is equal to the interior and oppofite, upon the fame fide,GHD \ sind the two interior • angles BGH, GHD upon the fame fide arc...

Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 444 σελίδες
...equal to two right angles. Let Let the ftraight line EF fall upon the parallel ftraight lines ^Book I. AB, CD ; the alternate angles AGH, GHD are equal to...the exterior angle EGB is equal to the interior and oppofite, upon the fame fide, GHD ; and the two interior angles BGH, GHD upon the fame fide are together...

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 σελίδες
...angles. Let the ftraight line EF fall upon the parallel ftraight lines AB, CD ; the alternate angle; AGH, GHD are equal to one another; and the exterior angle EGB is equal to the interior and oppofite, upon the fame fide, GHD ; and the two interior angles BGH, GHD, upon the fame fide, are together...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...fame fide together equal to two right angles. Let the ftraight line EF fall upon the parallel ftraight lines AB, CD. the alternate angles AGH, GHD are equal...the exterior angle EGB is equal to the interior and oppofite, upon the fame fide, GHD ; and the two interior angles BGH, GHD upon -& the fame fide are...

Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - 1804 - 470 σελίδες
...to two right angles, Let Let the ftraight line EF fall upon the parallel ftraight lines J5o°k IAB, CD ; the alternate angles AGH, GHD are equal to one...the exterior angle EGB is equal to the interior and oppofite, upon the fame fide, GHD ; and the two interior angles BGH, GHD upon the fame fide are together...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 σελίδες
...the two interior angles on the same side equal to two right angles. Let the straight line EF fall on the parallel straight lines AB, CD ; the .alternate angles AGH, GHD are equal, the exterior angle EGB is equal to the interior and opposite GHD, and the two interior angles BGH,...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 σελίδες
...the exterior angle equal to the interior and opposite upon the same side of the line ; or makes the interior angles upon the same side together equal to two right angles ; the two straight lines shall be parallel to one another. Let the straight line EF, which E falls...

Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 493 σελίδες
...angles equal, the' exterior angle equal to the interior opposite one, and the two interior angles on the same side together equal to two right angles. Let the straight line EFG fall upon the parallels AB and CD; the alternate angles AGF and DFG are equal, the exterior angle...




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