The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Side 4
... lines forming them are terminated at the same angular points , and coincide in ... equal , is able to talk of any other angle as being greater or less than a ... sides , but of the superfi- cial area enclosed . When Euclid speaks of plane ...
... lines forming them are terminated at the same angular points , and coincide in ... equal , is able to talk of any other angle as being greater or less than a ... sides , but of the superfi- cial area enclosed . When Euclid speaks of plane ...
Side 6
... sides equal , but has not all its angles right angles , is a rhombus . ( h ) All straight lines which , if produced ever so far both ways , do not meet , are parallel . ( i ) Every trapezium is a quadrilateral figure . ( 5 ) Every ...
... sides equal , but has not all its angles right angles , is a rhombus . ( h ) All straight lines which , if produced ever so far both ways , do not meet , are parallel . ( i ) Every trapezium is a quadrilateral figure . ( 5 ) Every ...
Side 8
... sides of a triangle are equal , the angles opposite to them shall be equal " the hypothesis is that the two sides are equal , and the conclusion to be proved is that the opposite angles are equal . Starting with the hypothesis ...
... sides of a triangle are equal , the angles opposite to them shall be equal " the hypothesis is that the two sides are equal , and the conclusion to be proved is that the opposite angles are equal . Starting with the hypothesis ...
Side 11
... lines coincide ( e ) If the angular points of two angles coincide in position and the containing lines coincide in direction , each with each , the angles are equal . ( f ) If two equal angles be placed on one another so that the ...
... lines coincide ( e ) If the angular points of two angles coincide in position and the containing lines coincide in direction , each with each , the angles are equal . ( f ) If two equal angles be placed on one another so that the ...
Side 12
... equal to the same multiple of the second . ( t ) If one of two equal magnitudes be greater than a third then the ... sides , will , if produced far enough , cut the other sides of the triangle or those sides produced . ( 4 ) An unlimited ...
... equal to the same multiple of the second . ( t ) If one of two equal magnitudes be greater than a third then the ... sides , will , if produced far enough , cut the other sides of the triangle or those sides produced . ( 4 ) An unlimited ...
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.