The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Resultat 1-5 av 26
Side 5
... third a point in the second line ; the point of intersection of the two lines is called the vertex , or angular point . If AB and BC be two lines meeting at the point B , and not in the same direction , and if P be a point in the line ...
... third a point in the second line ; the point of intersection of the two lines is called the vertex , or angular point . If AB and BC be two lines meeting at the point B , and not in the same direction , and if P be a point in the line ...
Side 8
... third magnitude C has been proved equal to B ; then since magnitudes which are equal to the same magnitude are equal to one another , we conclude that is equal to C. Here the hypothesis is that A is equal to B , and the demonstration ...
... third magnitude C has been proved equal to B ; then since magnitudes which are equal to the same magnitude are equal to one another , we conclude that is equal to C. Here the hypothesis is that A is equal to B , and the demonstration ...
Side 11
... third , the circumferences of the circles will cut . ( 7 ) of any two magnitudes there is one that is not greater than the other . ( m ) of any two unequal magnitudes one must be greater than the other . ( n ) One magnitude cannot be ...
... third , the circumferences of the circles will cut . ( 7 ) of any two magnitudes there is one that is not greater than the other . ( m ) of any two unequal magnitudes one must be greater than the other . ( n ) One magnitude cannot be ...
Side 12
... third then the other of the two equal magnitudes is also greater than the third . ( u ) If a magnitude be greater than one of two equal magnitudes it is also greater than the other . ( v ) If of three magnitudes the first is greater ...
... third then the other of the two equal magnitudes is also greater than the third . ( u ) If a magnitude be greater than one of two equal magnitudes it is also greater than the other . ( v ) If of three magnitudes the first is greater ...
Side 23
... third book , a proof of the other . If it be admitted that the circumferences cut at two points , then two equilateral triangles can be described , one on each side of the line , and it is to be noticed that Euclid , in his ninth ...
... third book , a proof of the other . If it be admitted that the circumferences cut at two points , then two equilateral triangles can be described , one on each side of the line , and it is to be noticed that Euclid , in his ninth ...
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 95 - If two triangles have two sides of the one equal to two sides of the...
Side 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.
Side 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.
Side 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.
Side 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...
Side 72 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 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.
Side 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.
Side 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.