The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Σελίδα 3
... meet must be in the same plane superficies . In the eighth axiom mention is made of magnitudes coinciding , or exactly filling the same space . The meaning of the word filling , as used here , must be carefully considered . A ...
... meet must be in the same plane superficies . In the eighth axiom mention is made of magnitudes coinciding , or exactly filling the same space . The meaning of the word filling , as used here , must be carefully considered . A ...
Σελίδα 4
... meet , the test would not have been fully applied , because they could still be produced further , and then might meet . One point can prove the intersection of two lines , but millions of points cannot prove that they are parallel ...
... meet , the test would not have been fully applied , because they could still be produced further , and then might meet . One point can prove the intersection of two lines , but millions of points cannot prove that they are parallel ...
Σελίδα 6
... meet , are parallel . ( i ) Every trapezium is a quadrilateral figure . ( 5 ) Every quadrilateral figure is a trapezium . ( k ) All magnitudes which coincide are equal to one another . ( 7 ) All magnitudes which are equal to one another ...
... meet , are parallel . ( i ) Every trapezium is a quadrilateral figure . ( 5 ) Every quadrilateral figure is a trapezium . ( k ) All magnitudes which coincide are equal to one another . ( 7 ) All magnitudes which are equal to one another ...
Σελίδα 12
... meet at right angles to one another , the first two straight lines will meet if produced far enough . ( E ) If a square be described on the hypotenuse of a right - angled triangle , a straight line drawn from the right angle parallel to ...
... meet at right angles to one another , the first two straight lines will meet if produced far enough . ( E ) If a square be described on the hypotenuse of a right - angled triangle , a straight line drawn from the right angle parallel to ...
Σελίδα 15
... meet , when produced , at C , therefore the two 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 ...
... meet , when produced , at C , therefore the two 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 ...
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.