The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Αποτελέσματα 1 - 5 από τα 18.
Σελίδα 14
... angle ACB is not a right angle , therefore ACBD is not an oblong ; also , because AC is not equal to AB , and because BD is also not equal to AB , therefore AC is not equal to BD , therefore ACBD is not a rhomboid ; and it has been ...
... angle ACB is not a right angle , therefore ACBD is not an oblong ; also , because AC is not equal to AB , and because BD is also not equal to AB , therefore AC is not equal to BD , therefore ACBD is not a rhomboid ; and it has been ...
Σελίδα 42
... angle DEF , and that the angles ACB and DFE are ( 1 ) both acute , ( 2 ) both obtuse , or ( 3 ) one a right angle , IT IS REQUIRED TO PROVE that BC is equal to EF . Apply the triangle ABC to the triangle DEF so that A may be on D , and ...
... angle DEF , and that the angles ACB and DFE are ( 1 ) both acute , ( 2 ) both obtuse , or ( 3 ) one a right angle , IT IS REQUIRED TO PROVE that BC is equal to EF . Apply the triangle ABC to the triangle DEF so that A may be on D , and ...
Σελίδα 47
... angle opposite to one of those sides . Calling the area a seventh element it can be proved that with the exceptions ... ACB is equal to the angle DFE ; IT IS REQUIRED TO PROVE that the triangles are equal GEOMETRY . 47.
... angle opposite to one of those sides . Calling the area a seventh element it can be proved that with the exceptions ... ACB is equal to the angle DFE ; IT IS REQUIRED TO PROVE that the triangles are equal GEOMETRY . 47.
Σελίδα 53
Euclides Joseph John Dallin Paul. In the triangle ABC ; GIVEN AB equal to 4C , IT IS REQUIRED TO PROVE the angle ABC equal to the angle ACB . A B ' Imagine the triangle ABC in another position as A'B'C ' . Apply the triangle ABC to the ...
Euclides Joseph John Dallin Paul. In the triangle ABC ; GIVEN AB equal to 4C , IT IS REQUIRED TO PROVE the angle ABC equal to the angle ACB . A B ' Imagine the triangle ABC in another position as A'B'C ' . Apply the triangle ABC to the ...
Σελίδα 54
Euclides Joseph John Dallin Paul. In the triangle ABC ; GIVEN the angle ABC equal to the angle ACB ; IT IS REQUIRED TO PROVE AB equal to AC . B ' Imagine the triangle ABC in another position as A'B'C ' . Apply the triangle ABC to the ...
Euclides Joseph John Dallin Paul. In the triangle ABC ; GIVEN the angle ABC equal to the angle ACB ; IT IS REQUIRED TO PROVE AB equal to AC . B ' Imagine the triangle ABC in another position as A'B'C ' . Apply the triangle ABC to the ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 95 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 72 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.