The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Resultat 1-5 av 68
Side 6
... AB , and E a point in BC ; denote by eight different arrangements of the ... equal , but has not all its angles right angles , is a rhombus . ( h ) All ... equal to one another . ( 7 ) All magnitudes which are equal to one another ...
... AB , and E a point in BC ; denote by eight different arrangements of the ... equal , but has not all its angles right angles , is a rhombus . ( h ) All ... equal to one another . ( 7 ) All magnitudes which are equal to one another ...
Side 14
... AB into two acute - angled scalene triangles ; it is required to prove that ACBD is a trapezium . B Since the triangle ABC is scalene , therefore AC is not equal to BC , therefore ACBD is not a square ; for the same reason it is not a ...
... AB into two acute - angled scalene triangles ; it is required to prove that ACBD is a trapezium . B Since the triangle ABC is scalene , therefore AC is not equal to BC , therefore ACBD is not a square ; for the same reason it is not a ...
Side 15
... AB is not equal to DC , therefore AB and DC are not each equal to BD ; similarly , BC and AD are not each equal to BD , AB and BC are not each equal to BD , and AD and DC are not each equal to BD . If neither AB nor AD be equal to BD ...
... AB is not equal to DC , therefore AB and DC are not each equal to BD ; similarly , BC and AD are not each equal to BD , AB and BC are not each equal to BD , and AD and DC are not each equal to BD . If neither AB nor AD be equal to BD ...
Side 16
... equal to CE . In ( 21 ) there is a false argument ; for it is assumed that if unequals be added to unequals the wholes are unequal ; the absurdity of this can be easily shown thus : — B E Let AB and DE be two equal straight lines , and ...
... equal to CE . In ( 21 ) there is a false argument ; for it is assumed that if unequals be added to unequals the wholes are unequal ; the absurdity of this can be easily shown thus : — B E Let AB and DE be two equal straight lines , and ...
Side 17
... AB is equal to CD ; prove that AC is equal to BD . ( 28 ) ABCDE is a straight line ; if AC is equal to BD , and BD is equal to CE , and AB is equal to BC ; prove that CD is equal to DE . ( 29 ) ABCDE is a straight line bisected at C , and ...
... AB is equal to CD ; prove that AC is equal to BD . ( 28 ) ABCDE is a straight line ; if AC is equal to BD , and BD is equal to CE , and AB is equal to BC ; prove that CD is equal to DE . ( 29 ) ABCDE is a straight line bisected at C , and ...
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.