The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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... 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 apology for introducing the PREFACE .
... 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 apology for introducing the PREFACE .
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... student to apply , when practicable , superposition in the demonstration of theorems , some examples of the application of this method are given . With a view to guarding the student against some of the principal errors which beginners ...
... student to apply , when practicable , superposition in the demonstration of theorems , some examples of the application of this method are given . With a view to guarding the student against some of the principal errors which beginners ...
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... student when to read certain propositions , and when to work sets of examples , proposes a regular course of geometrical study , which he hopes will be found useful to his readers . The examples have been selected chiefly with a view to ...
... student when to read certain propositions , and when to work sets of examples , proposes a regular course of geometrical study , which he hopes will be found useful to his readers . The examples have been selected chiefly with a view to ...
Página 1
... student can proceed to the study of such sciences he must know geometry . It is however chiefly as mental discipline and intellectual education that the study of Euclid's geometry is so valuable . The facts which are proved are very ...
... student can proceed to the study of such sciences he must know geometry . It is however chiefly as mental discipline and intellectual education that the study of Euclid's geometry is so valuable . The facts which are proved are very ...
Página 13
... student must be prepared to accept , and are mentioned here in order that every statement made in the propositions may be directly supported by a reference . In the demonstrations of some of the following theorems , false arguments have ...
... student must be prepared to accept , and are mentioned here in order that every statement made in the propositions may be directly supported by a reference . In the demonstrations of some of the following theorems , false arguments have ...
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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