The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Página 6
... ABC is a triangle , D a point in AB , and E a point in BC ; denote by eight ... equal , but has not all its angles right angles , is a rhombus . ( h ) All ... equal to one another . ( 7 ) All magnitudes which are equal to one another ...
... ABC is a triangle , D a point in AB , and E a point in BC ; denote by eight ... equal , but has not all its angles right angles , is a rhombus . ( h ) All ... equal to one another . ( 7 ) All magnitudes which are equal to one another ...
Página 14
... ABC is scalene , therefore AC is not equal to BC , therefore ACBD is not a square ; for the same reason it is not a rhombus . Again , because ABC is an acute - angled triangle , the angle ACB is not a right angle , therefore ACBD is not ...
... ABC is scalene , therefore AC is not equal to BC , therefore ACBD is not a square ; for the same reason it is not a rhombus . Again , because ABC is an acute - angled triangle , the angle ACB is not a right angle , therefore ACBD is not ...
Página 15
... equal to DC , therefore AB and DC are not each equal to BD ; similarly , BC ... ABC be a triangle ; it is required to prove that the angles CBA and CAB are ... ABC , and a scalene triangle ADE , have the same vertical angle at A , and the ...
... equal to DC , therefore AB and DC are not each equal to BD ; similarly , BC ... ABC be a triangle ; it is required to prove that the angles CBA and CAB are ... ABC , and a scalene triangle ADE , have the same vertical angle at A , and the ...
Página 17
... equal to CD ; prove that AC is equal to BD . ( 28 ) ABCDE is a straight line ; if AC is equal to BD , and BD is ... 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 ...
... equal to CD ; prove that AC is equal to BD . ( 28 ) ABCDE is a straight line ; if AC is equal to BD , and BD is ... 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 ...
Página 18
... equal . ( 41 ) An equiangular triangle ABC has one of its sides , AB , pro- duced to D , and DC is joined ; taking for granted that the angle ABC is greater than the angle ADC prove that the angle ADC is less than the angle ACD . ( 42 ) ...
... equal . ( 41 ) An equiangular triangle ABC has one of its sides , AB , pro- duced to D , and DC is joined ; taking for granted that the angle ABC is greater than the angle ADC prove that the angle ADC is less than the angle ACD . ( 42 ) ...
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 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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