The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Página 6
... interior angles on the same side as D and F of the line AB ? ( 12 ) Define a plane figure , and the centre of a circle . State the meanings of the words postulate and axiom , explaining the difference between them . ( 13 ) A straight ...
... interior angles on the same side as D and F of the line AB ? ( 12 ) Define a plane figure , and the centre of a circle . State the meanings of the words postulate and axiom , explaining the difference between them . ( 13 ) A straight ...
Página 15
... interior angles upon the same side of the line , viz . CAB and CBA , are together less than two right angles . ( 26 ) An equilateral triangle ABC , and a scalene triangle ADE , have the same vertical angle at A , and the point D is in ...
... interior angles upon the same side of the line , viz . CAB and CBA , are together less than two right angles . ( 26 ) An equilateral triangle ABC , and a scalene triangle ADE , have the same vertical angle at A , and the point D is in ...
Página 48
... interior and opposite angle . ( In the above diagram the angle A'C'E would be both equal to and greater than the angle DFE . ) Because an impossibility follows if A is not on D , nor C on F , Proved . Therefore either A is on D , or C ...
... interior and opposite angle . ( In the above diagram the angle A'C'E would be both equal to and greater than the angle DFE . ) Because an impossibility follows if A is not on D , nor C on F , Proved . Therefore either A is on D , or C ...
Página 57
... interior angles , adjacent angles , opposite angles , alternate angles , equal triangles , equi- valent triangles , plane figure , regular figure , area , equilateral figure , equiangular figure , rectangular figure , rectangle ...
... interior angles , adjacent angles , opposite angles , alternate angles , equal triangles , equi- valent triangles , plane figure , regular figure , area , equilateral figure , equiangular figure , rectangular figure , rectangle ...
Página 71
... interior angles on the same side of it taken together less than two right angles ; these straight lines being continually produced , shall at length meet upon that side on which are the angles which are less than two right angles ...
... interior angles on the same side of it taken together less than two right angles ; these straight lines being continually produced , shall at length meet upon that side on which are the angles which are less than two right angles ...
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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