The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Σελίδα 18
Euclides Joseph John Dallin Paul. if the straight lines EG and HF each bisect the trapezium and intersect at O , prove that the ... bisects the polygon . ( 51 ) ABCDEF is a six - sided polygon ; the straight lines FB , FC and FD are drawn ...
Euclides Joseph John Dallin Paul. if the straight lines EG and HF each bisect the trapezium and intersect at O , prove that the ... bisects the polygon . ( 51 ) ABCDEF is a six - sided polygon ; the straight lines FB , FC and FD are drawn ...
Σελίδα 36
... bisects the square . ( 93 ) If the diagonals of a quadrilateral bisect one another at right angles , the quadrilateral is equilateral . ( 94 ) If the perpendicular from the vertex on the base of a triangle bisects the base , the ...
... bisects the square . ( 93 ) If the diagonals of a quadrilateral bisect one another at right angles , the quadrilateral is equilateral . ( 94 ) If the perpendicular from the vertex on the base of a triangle bisects the base , the ...
Σελίδα 37
... bisect one another . ( 103 ) The diagonals of a rhombus are at right angles to one another . ( 104 ) Find in a given ... bisects a straight line . ( 108 ) On the same straight line , and on the same side of it , there cannot be two ...
... bisect one another . ( 103 ) The diagonals of a rhombus are at right angles to one another . ( 104 ) Find in a given ... bisects a straight line . ( 108 ) On the same straight line , and on the same side of it , there cannot be two ...
Σελίδα 43
... bisects the base . ( 134 ) The perpendiculars let fall from any point in the bisector of an angle of a triangle , upon the two sides containing the angle , are equal . ( 135 ) The bisectors of the angles at the base of any isosceles ...
... bisects the base . ( 134 ) The perpendiculars let fall from any point in the bisector of an angle of a triangle , upon the two sides containing the angle , are equal . ( 135 ) The bisectors of the angles at the base of any isosceles ...
Σελίδα 49
... bisects the triangle . ( 152 ) If the four triangles into which the diagonals of a quadri- lateral divide it are equal in area , the quadrilateral is a parallelogram . ( 153 ) The four triangles into which a parallelogram is divided by ...
... bisects the triangle . ( 152 ) If the four triangles into which the diagonals of a quadri- lateral divide it are equal in area , the quadrilateral is a parallelogram . ( 153 ) The four triangles into which a parallelogram is divided by ...
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.