The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Side 8
... problem . The postulates are problems admitted to be solved , and the axioms are theorems admitted to be true without proof . The enunciation states the nature of the proposal , first in general terms , and then sometimes with reference ...
... problem . The postulates are problems admitted to be solved , and the axioms are theorems admitted to be true without proof . The enunciation states the nature of the proposal , first in general terms , and then sometimes with reference ...
Side 19
... problem and theorem . ( 56 ) Assuming that the demonstration of a proposition is correct , which of the following statements are true ? ( a ) If the hypothesis is true , the conclusion is true . ( b ) If the hypothesis is true , the ...
... problem and theorem . ( 56 ) Assuming that the demonstration of a proposition is correct , which of the following statements are true ? ( a ) If the hypothesis is true , the conclusion is true . ( b ) If the hypothesis is true , the ...
Side 23
... problems establish his right to a freer use of the imaginary instruments allowed him by the postulates , by showing that he may use compasses which will remain open and a ruler with which he can add or subtract straight lines ; and ...
... problems establish his right to a freer use of the imaginary instruments allowed him by the postulates , by showing that he may use compasses which will remain open and a ruler with which he can add or subtract straight lines ; and ...
Side 24
... the given point be on the circumference of the first circle . ( 78 ) Let the given point be outside the first circle . In some cases the problem could be solved by producing 24 GEOMETRY . common segment; if such a thing were possible, ...
... the given point be on the circumference of the first circle . ( 78 ) Let the given point be outside the first circle . In some cases the problem could be solved by producing 24 GEOMETRY . common segment; if such a thing were possible, ...
Side 25
Euclides Joseph John Dallin Paul. In some cases the problem could be solved by producing the sides of the equilateral triangle through the vertex , but this would not be a general solution . To produce DA to E means to produce it through ...
Euclides Joseph John Dallin Paul. In some cases the problem could be solved by producing the sides of the equilateral triangle through the vertex , but this would not be a general solution . To produce DA to E means to produce it through ...
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.