The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Página 4
... parallelograms etc. , he means the surfaces contained within the boundaries of these plane figures . Definition 14 might be read : " A figure is a completely bounded space , the limits or bounds of which are either lines or superficies ...
... parallelograms etc. , he means the surfaces contained within the boundaries of these plane figures . Definition 14 might be read : " A figure is a completely bounded space , the limits or bounds of which are either lines or superficies ...
Página 6
... parallelogram and the radius of a circle . ( 17 ) If a plane quadrilateral figure be rectilineal , equilateral , and rectangular , what is it called ? ( 18 ) A rectilineal figure enclosed by the least possible number of boundaries , has ...
... parallelogram and the radius of a circle . ( 17 ) If a plane quadrilateral figure be rectilineal , equilateral , and rectangular , what is it called ? ( 18 ) A rectilineal figure enclosed by the least possible number of boundaries , has ...
Página 12
... parallelogram from a point without it will cut the adjacent sides produced . ( B ) If a straight line cut one of two or more unlimited parallel straight lines , it will , if produced , cut the others . ( C ) If through any two angular ...
... parallelogram from a point without it will cut the adjacent sides produced . ( B ) If a straight line cut one of two or more unlimited parallel straight lines , it will , if produced , cut the others . ( C ) If through any two angular ...
Página 17
... parallelogram are not together less than two right angles . ( 32 ) An equilateral triangle ABC is described on the side BC of the square BCDE ; why is AB equal to DE , and why is the angle CBE equal to the angle CDE ? ( 33 ) On AB , a ...
... parallelogram are not together less than two right angles . ( 32 ) An equilateral triangle ABC is described on the side BC of the square BCDE ; why is AB equal to DE , and why is the angle CBE equal to the angle CDE ? ( 33 ) On AB , a ...
Página 18
... parallelogram ; its side CD is produced to E , and the points B and E are joined by a straight line cutting AD at F ; if the parallelogram ABCD is equal to the triangle EBC , prove that the triangles AFB and EFD are equal . ( 46 ) ABCD ...
... parallelogram ; its side CD is produced to E , and the points B and E are joined by a straight line cutting AD at F ; if the parallelogram ABCD is equal to the triangle EBC , prove that the triangles AFB and EFD are equal . ( 46 ) ABCD ...
Términos y frases comunes
2nd Edition 4th Edition AB is equal ABC and DEF ABC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle CAB angle contained angle DEF angle EDF angle equal angle GHD angles are equal angles CBA Axiom 9 base BC BDC is greater bisector bisects centre circle coincide Constr Crown 8vo describe diagonal equal sides equal to BD equal to EF equilateral triangle Euclid exterior angle F. A. Paley Fcap finite straight line Geometry given point given straight line isosceles triangle Join Latin magnitude are equal opposite sides parallel to BC parallelogram parallelogram ABCD plane figure Post 8vo Postulate produced Q. E. D. PROPOSITION quadrilateral rectilineal angle REQUIRED TO PROVE rhombus right angles sides equal square on AC straight line drawn THEOREM triangle ABC triangle DEF triangles are equal vertex Нур
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Página 65 - A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. VIII. A plane angle is the inclination of two lines to each other in a plane, which meet together, but are not in the same direction.
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Página 73 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Página 72 - LET it be granted that a straight line may be drawn from any one point to any other point.
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