The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Side 10
... double of equal magnitudes are equal to one another . Magnitudes which are halves of equal magnitudes are equal to one another . The following facts are assumed by Euclid in his first book to be self - evident but not mentioned in his ...
... double of equal magnitudes are equal to one another . Magnitudes which are halves of equal magnitudes are equal to one another . The following facts are assumed by Euclid in his first book to be self - evident but not mentioned in his ...
Side 11
... double of one of two equal magnitudes , it is also double of the other . ( r ) If two magnitudes are equal they are together double of one of them . ( 8 ) If one magnitude is equal to a GEOMETRY . 11.
... double of one of two equal magnitudes , it is also double of the other . ( r ) If two magnitudes are equal they are together double of one of them . ( 8 ) If one magnitude is equal to a GEOMETRY . 11.
Side 38
... double of a right angle ; hence the necessity for the line BE in his thirteenth proposition . His proof may be compared to that of an arithmetician who , refusing to recognize the number ten , proves that seven and three are together ...
... double of a right angle ; hence the necessity for the line BE in his thirteenth proposition . His proof may be compared to that of an arithmetician who , refusing to recognize the number ten , proves that seven and three are together ...
Side 40
... double the sum of any two sides . ( 125 ) The perimeter of a triangle is greater than the double of any one side . ( 126 ) The sum of the straight lines drawn from a point within a triangle to the angular points , is less than the ...
... double the sum of any two sides . ( 125 ) The perimeter of a triangle is greater than the double of any one side . ( 126 ) The sum of the straight lines drawn from a point within a triangle to the angular points , is less than the ...
Side 44
... are equal , the quadri- lateral is a parallelogram . ( 138 ) The exterior angle at the vertex of an isosceles triangle is double of each of the angles at the base . ( 139 ) If a right - angled triangle is 44 GEOMETRY .
... are equal , the quadri- lateral is a parallelogram . ( 138 ) The exterior angle at the vertex of an isosceles triangle is double of each of the angles at the base . ( 139 ) If a right - angled triangle is 44 GEOMETRY .
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.