The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Página 14
... equal to D together with F. Since A together with B is not equal to C together with D , and A is equal to C ... BD is also not equal to AB , therefore AC is not equal to BD , therefore ACBD is not a rhomboid ; and it has been shown to be ...
... equal to D together with F. Since A together with B is not equal to C together with D , and A is equal to C ... BD is also not equal to AB , therefore AC is not equal to BD , therefore ACBD is not a rhomboid ; and it has been shown to be ...
Página 15
... and AD are not each equal to BD , AB and BC are not each equal to BD , and AD and DC are not each equal to BD . If neither AB nor AD be equal to BD , then , since they are also not equal to one another , ABD is a scalene triangle . If AB is ...
... and AD are not each equal to BD , AB and BC are not each equal to BD , and AD and DC are not each equal to BD . If neither AB nor AD be equal to BD , then , since they are also not equal to one another , ABD is a scalene triangle . If AB is ...
Página 16
Euclides Joseph John Dallin Paul. AD is unequal to AE , and AB is equal to AC ; but if equals be taken from unequals the remainders are unequal ; therefore BD is not equal ... BD is false ; for magnitudes which are unequal to the same ...
Euclides Joseph John Dallin Paul. AD is unequal to AE , and AB is equal to AC ; but if equals be taken from unequals the remainders are unequal ; therefore BD is not equal ... BD is false ; for magnitudes which are unequal to the same ...
Página 17
... equal to BD . ( 28 ) ABCDE is a straight line ; if AC is equal to BD , and BD is equal to CE , and AB is equal to BC ; prove that CD is equal to DE . ( 29 ) ABCDE is a straight line bisected at C , and AD is equal to BE ; prove that BC ...
... equal to BD . ( 28 ) ABCDE is a straight line ; if AC is equal to BD , and BD is equal to CE , and AB is equal to BC ; prove that CD is equal to DE . ( 29 ) ABCDE is a straight line bisected at C , and AD is equal to BE ; prove that BC ...
Página 18
... equal . ( 41 ) An equiangular triangle ABC has one of its sides , AB , pro- duced to D , and DC is joined ; taking ... BD its diagonals ; if the triangle ABD is equal to the triangle ABC , prove that the triangle ADC is equal to the ...
... equal . ( 41 ) An equiangular triangle ABC has one of its sides , AB , pro- duced to D , and DC is joined ; taking ... BD its diagonals ; if the triangle ABD is equal to the triangle ABC , prove that the triangle ADC is equal to the ...
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 95 - If two triangles have two sides of the one equal to two sides of the...
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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