The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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... postulates and axioms . The author considers it of the utmost importance that young students of geometry should never be allowed to advance argu- ments without supporting each by direct reference to some admitted fact and this is his ...
... postulates and axioms . The author considers it of the utmost importance that young students of geometry should never be allowed to advance argu- ments without supporting each by direct reference to some admitted fact and this is his ...
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... postulates , axioms and former propositions , necessary for the construction and demonstration are stated . The blank spaces left may be found useful for notes . The only abbreviations used are : - A , for vi PREFACE .
... postulates , axioms and former propositions , necessary for the construction and demonstration are stated . The blank spaces left may be found useful for notes . The only abbreviations used are : - A , for vi PREFACE .
Página 1
... postulates , and axioms ; but , as will be pointed out , these do not include all the truisms that he asserts as self - evident . Let the student before proceeding read carefully the definitions , postulates and axioms on page 63 . It ...
... postulates , and axioms ; but , as will be pointed out , these do not include all the truisms that he asserts as self - evident . Let the student before proceeding read carefully the definitions , postulates and axioms on page 63 . It ...
Página 2
... postulates he assumes that he can effect three processes , but in imagination only ; for , as will be pointed out later on , no one could really draw a line , produce a line , or describe a circle , but it is perfectly reasonable , for ...
... postulates he assumes that he can effect three processes , but in imagination only ; for , as will be pointed out later on , no one could really draw a line , produce a line , or describe a circle , but it is perfectly reasonable , for ...
Página 4
... postulates may be said to allow Euclid the use of an imaginary ruler and compasses , but the ruler cannot be used for measuring , and the compasses close of themselves immediately they are taken from the superficies . In assuming these ...
... postulates may be said to allow Euclid the use of an imaginary ruler and compasses , but the ruler cannot be used for measuring , and the compasses close of themselves immediately they are taken from the superficies . In assuming these ...
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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