The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Side 13
... necessary for the rigid support of Euclid's system of geometry , for many of them are ... prove that A is not equal to D. Since A is not equal to B , and C is not ... required to show that if together with B is not equal to C GEOMETRY . 13.
... necessary for the rigid support of Euclid's system of geometry , for many of them are ... prove that A is not equal to D. Since A is not equal to B , and C is not ... required to show that if together with B is not equal to C GEOMETRY . 13.
Side 14
... 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 rhombus . Again , because ABC is an acute - angled ...
... 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 rhombus . Again , because ABC is an acute - angled ...
Side 15
... required to prove that either ABD or BDC is a scalene triangle . Because 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 ...
... required to prove that either ABD or BDC is a scalene triangle . Because 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 ...
Side 25
... proof fails . When the point is at an extremity of the given line , there are , by Euclid's method , only two solutions ; although , by simply describing a circle ... required . The following are given to show a few of the GEOMETRY . 25.
... proof fails . When the point is at an extremity of the given line , there are , by Euclid's method , only two solutions ; although , by simply describing a circle ... required . The following are given to show a few of the GEOMETRY . 25.
Side 29
... asked to deduce all the conclusions as enunciated by Euclid . да ( 79 ) In the triangles PQR and STV ; GIVEN PQ equal to SV , PR equal to ST , and the angle QPR equal to the angle VST . IT IS REQUIRED TO PROVE that QR is equal to TV ...
... asked to deduce all the conclusions as enunciated by Euclid . да ( 79 ) In the triangles PQR and STV ; GIVEN PQ equal to SV , PR equal to ST , and the angle QPR equal to the angle VST . IT IS REQUIRED TO PROVE that QR is equal to TV ...
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.