The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Resultat 1-5 av 21
Side 2
... a space called a superficies . A carpenter applies in practice the test which Euclid applies in theory , to determine whether a superficies is plane , for , after he has planed his board , and made it appear as smooth 2 GEOMETRY .
... a space called a superficies . A carpenter applies in practice the test which Euclid applies in theory , to determine whether a superficies is plane , for , after he has planed his board , and made it appear as smooth 2 GEOMETRY .
Side 3
... plane , because he could never apply his rule between every two points , there being no limit to the number of points . An angle is called a plane angle when each of the lines forming it is in the same plane superficies ; and a figure ...
... plane , because he could never apply his rule between every two points , there being no limit to the number of points . An angle is called a plane angle when each of the lines forming it is in the same plane superficies ; and a figure ...
Side 4
... plane figures . Definition 14 might be read : " A figure is a completely bounded space , the limits or bounds of ... plane , they are to be called parallel . Lines not in the same plane , although they do not meet when produced , are not ...
... plane figures . Definition 14 might be read : " A figure is a completely bounded space , the limits or bounds of ... plane , they are to be called parallel . Lines not in the same plane , although they do not meet when produced , are not ...
Side 6
... plane figure , and the centre of a circle . State the meanings of the words postulate and axiom , explaining the ... plane angle is a rectilineal angle . ( b ) Every rectilineal angle is a plane angle . ( c ) Every semicircle is a ...
... plane figure , and the centre of a circle . State the meanings of the words postulate and axiom , explaining the ... plane angle is a rectilineal angle . ( b ) Every rectilineal angle is a plane angle . ( c ) Every semicircle is a ...
Side 29
... plane figures so placed cannot enclose a space , and that therefore they do coincide and are equal , but still the ... planes which cut , is a straight line . Euclid does not , prior to this proposition , give any definition of what is ...
... plane figures so placed cannot enclose a space , and that therefore they do coincide and are equal , but still the ... planes which cut , is a straight line . Euclid does not , prior to this proposition , give any definition of what is ...
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.