The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Σελίδα
... taken the opinions of a great many young beginners as to their relative difficulty , and arranged them accordingly . The first 163 examples are of such a nature that at least 50 per cent . of his pupils have been able to originate the ...
... taken the opinions of a great many young beginners as to their relative difficulty , and arranged them accordingly . The first 163 examples are of such a nature that at least 50 per cent . of his pupils have been able to originate the ...
Σελίδα 4
... taken for granted that all right angles are equal , is able to talk of any other angle as being greater or less than a right angle . The extremity of anything is not a part of that thing ; the bound- aries of a figure are not parts of ...
... taken for granted that all right angles are equal , is able to talk of any other angle as being greater or less than a right angle . The extremity of anything is not a part of that thing ; the bound- aries of a figure are not parts of ...
Σελίδα 6
... taken three at a time , the angle opposite to the side AC . ( 11 ) If the straight line AB fall upon the two other straight lines CD and EF , cutting CD at G and EF at H , which are the interior angles on the same side as D and F of the ...
... taken three at a time , the angle opposite to the side AC . ( 11 ) If the straight line AB fall upon the two other straight lines CD and EF , cutting CD at G and EF at H , which are the interior angles on the same side as D and F of the ...
Σελίδα 10
... taken from equals , the remainders are equal . If equals be taken from the same magnitude the remainders are equal . If the same magnitude be added to unequals the wholes are unequal . If the same magnitude be taken from unequals the ...
... taken from equals , the remainders are equal . If equals be taken from the same magnitude the remainders are equal . If the same magnitude be added to unequals the wholes are unequal . If the same magnitude be taken from unequals the ...
Σελίδα 16
... taken from unequals the remainders are unequal ; therefore BD is not equal to CE . In ( 21 ) there is a false argument ; for it is assumed that if unequals be added to unequals the wholes are unequal ; the absurdity of this can be ...
... taken from unequals the remainders are unequal ; therefore BD is not equal to CE . In ( 21 ) there is a false argument ; for it is assumed that if unequals be added to unequals the wholes are unequal ; the absurdity of this can be ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 95 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 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.
Σελίδα 13 - FBS 8vo. 10s. 6d. Language, its Origin and Development. By TH Key, MA, FRS 8vo. 14s. Synonyms and Antonyms of the English Language. By Archdeacon Smith. 2nd Edition. Post 8vo. 5s. Synonyms Discriminated. By Archdeacon Smith. Demy 8vo. 16s. Bible English. By TL 0. Davies. 5s. The Queen's English. A Manual of Idiom and Usage. By the late Dean Alford 6th Edition. Fcap. 8vo. 5s.
Σελίδα 10 - An Elementary Treatise on Mensuration. By BT Moore, MA 5s. ANALYTICAL GEOMETRY AND DIFFERENTIAL CALCULUS. An Introduction to Analytical Plane Geometry. By WP Turnbull, MA 8vo. 12s. Problems on the Principles of Plane Co-ordinate Geometry. By W. Walton, MA 8vo. 16s. Trilinear Co-ordinates, and Modern Analytical Geometry of Two Dimensions.
Σελίδα 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...
Σελίδα 72 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 12 - Lives of the Queens of England. By A. Strickland. Library Edition, 8 vols. 7s. 6d. each. Cheaper Edition, 6 vols. 5s. each. Abridged Edition, 1 vol. 6s. 6d.
Σελίδα 8 - Greek Verbs. A Catalogue of Verbs, Irregular and Defective; their leading formations, tenses, and inflexions, with Paradigms for conjugation, Rules for formation of tenses, &c.
Σελίδα 12 - Long. 5 vols. 8vo. 14s. each. A History of England during the Early and Middle Ages. By CH Pearson, MA 2nd Edition revised and enlarged.