The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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... Join AB , for ' draw from the point A to the point B a straight ' line AB . ' Experience having shewn the author that in the vast majority of cases the notes on the propositions are not observed , he has given more prominence to his ...
... Join AB , for ' draw from the point A to the point B a straight ' line AB . ' Experience having shewn the author that in the vast majority of cases the notes on the propositions are not observed , he has given more prominence to his ...
Página 5
... joining these points is called AB ; or , if necessary , more points in the same line may be mentioned . Angles are named with three letters , the first being a point in one of the lines containing the angle , the second the point of ...
... joining these points is called AB ; or , if necessary , more points in the same line may be mentioned . Angles are named with three letters , the first being a point in one of the lines containing the angle , the second the point of ...
Página 21
... join DB and BC ; from the centre B with BA as a radius , describe a circle its circumference cutting DB at E ; from the centre D , with DE as a radius , describe a circle its circumference cutting DC at F. FC ought to be equal to AB ...
... join DB and BC ; from the centre B with BA as a radius , describe a circle its circumference cutting DB at E ; from the centre D , with DE as a radius , describe a circle its circumference cutting DC at F. FC ought to be equal to AB ...
Página 22
... join A and B , two points in its circum- ference ; with A and B as centres , and AB as radius , describe two circles cutting one another at C and D ; join CD , producing it if necessary to cut the circumference of the original circle at ...
... join A and B , two points in its circum- ference ; with A and B as centres , and AB as radius , describe two circles cutting one another at C and D ; join CD , producing it if necessary to cut the circumference of the original circle at ...
Página 33
... Join AD . Because EF is equal to BC , Therefore F is on C. equal to BD , Post . Hyp . Hyp . I. 5 . Нур . Because BA is Therefore the angle BAD is Because CA is Therefore the angle CAD is Because the angle BAD is and the angle CAD is ...
... Join AD . Because EF is equal to BC , Therefore F is on C. equal to BD , Post . Hyp . Hyp . I. 5 . Нур . Because BA is Therefore the angle BAD is Because CA is Therefore the angle CAD is Because the angle BAD is and the angle CAD is ...
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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