Geometry for schools, comprising books i. and ii. of Euclid, with some additions and numerous exercises, by A.J.G. BarclayOliver & Boyd, 1883 - 96 σελίδες |
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Σελίδα 15
... falls on DF , and point C falls on F , :: A = AC = Then since B is on E and C on with EF ( Def . 3 ) . LD D ( given ) ; DF ( given ) . F , BC must coincide .. BC = EF ; and B coincides with and .. is and C coincides with and = is = LE ...
... falls on DF , and point C falls on F , :: A = AC = Then since B is on E and C on with EF ( Def . 3 ) . LD D ( given ) ; DF ( given ) . F , BC must coincide .. BC = EF ; and B coincides with and .. is and C coincides with and = is = LE ...
Σελίδα 18
... falls on FBC = on E , and BC EF ( given ) . And let △ ABC take the position of △ GEF on the opposite side of EF to △ DEF . Join DG . EG is BA it ED ( given ) , = and EDG = △ EGD ( I. 5 ) . Similarly FDG = FGD . : . △ EDF = △ EGF ...
... falls on FBC = on E , and BC EF ( given ) . And let △ ABC take the position of △ GEF on the opposite side of EF to △ DEF . Join DG . EG is BA it ED ( given ) , = and EDG = △ EGD ( I. 5 ) . Similarly FDG = FGD . : . △ EDF = △ EGF ...
Σελίδα 25
... fall within the triangle . 38. If one of the angles at the base of a triangle is an obtuse angle , the perpendicular from the vertex on the base must fall without the triangle , towards the side on which is the obtuse angle . PROP . 17 ...
... fall within the triangle . 38. If one of the angles at the base of a triangle is an obtuse angle , the perpendicular from the vertex on the base must fall without the triangle , towards the side on which is the obtuse angle . PROP . 17 ...
Σελίδα 29
... fall within the other , that which has the greater area shall have the greater perimeter . Note . - This proposition is not necessarily true when the trapezium is of the smaller area and has a reflex angle , that is , an angle greater ...
... fall within the other , that which has the greater area shall have the greater perimeter . Note . - This proposition is not necessarily true when the trapezium is of the smaller area and has a reflex angle , that is , an angle greater ...
Σελίδα 31
... fall on F , AC ( given ) , and let △ ABC take the position of DGF on the side of DF remote from △ DEF ; Then DG is AB , FG is BC , and GDF is A. Bisect EDG , and bisector must fall within △ FDG , FDG > < EDF ; let it meet FG at H ...
... fall on F , AC ( given ) , and let △ ABC take the position of DGF on the side of DF remote from △ DEF ; Then DG is AB , FG is BC , and GDF is A. Bisect EDG , and bisector must fall within △ FDG , FDG > < EDF ; let it meet FG at H ...
Άλλες εκδόσεις - Προβολή όλων
Geometry For Schools, Comprising Books I. And Ii. Of Euclid, With Some ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
Geometry For Schools, Comprising Books I. And Ii. Of Euclid, With Some ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AC² angle contained angles equal angular points Atlas base BC BC² bisect Boyd's School Carefully Revised centre Coloured Maps cons construct a triangle diagonals Dr Douglas's Dr Reid's Edinburgh Academy Euclid Exercises exterior angle figure has sides find a point four right angles full-coloured Maps George Watson's College given line given point given straight line given triangle hypotenuse interior isosceles triangle late Head Master Lawson's LL.D middle points Modern Geography Oliver and Boyd's opposite angles opposite sides Outline of Sacred parallelogram perpendicular Physical Geography point in CD polygon produced PROP proposition prove quadrilateral Questions for Examination rect rectangle contained reflex angle regular polygon Reid's Elements rhombus right-angled triangle Rudiments of Modern Sacred Geography showing Recent sides equal square St Mark's College Text-Book THEOR trapezium triangles ABC vertex WILLIAM LAWSON
Δημοφιλή αποσπάσματα
Σελίδα 15 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 73 - Household Economy. A MANUAL intended for Female Training Colleges, and the Senior Class of Girls' Schools. By MARGARET MARIA GORDON (Miss Brewster), Author of " Work, or Plenty to do and how to do it,
Σελίδα 84 - M'DowALL. 2s. Lectiones Selectae : or, Select Latin Lessons in Morality, History, and Biography : for the use of Beginners. With a Vocabulary explaining every Word in the Text. By C. MELVILLE, late of the Grammar School, Kirkcaldy. Is. 6d. Macgowan's Lessons in Latin Reading. In Two PARTS. Part I., Improved by H.
Σελίδα 12 - Notions 1. Things which are equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. Things which coincide with one another are equal to one another.
Σελίδα 75 - Watts' Catechism of Scripture History, and of the Condition of the Jews from the Close of the Old Testament to the Time of Christ. With INTRODUCTION by WK TWEEDIE, DD 2s.
Σελίδα 81 - Critical Remarks, in which the various Methods of Pronouncing employed by different Authors are investigated and compared with each other.
Σελίδα 13 - If a straight line meets 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 73 - A DICTIONARY of the ENGLISH LANGUAGE, CONTAINING THE PRONUNCIATION, ETYMOLOGY, AND EXPLANATION OF ALL WORDS AUTHORIZED BY EMINENT WRITERS ; To which are added, a Vocabulary of the Roots of English Words, and an Accented Lat of Greek, Latin, and Scripture Proper Names.
Σελίδα 46 - THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal.
Σελίδα 74 - A carefully compiled history for the use of schools. The writer has consulted the more recent authorities: his opinions are liberal, and on the whole just and impartial : the succession of events is developed with clearness, and with more of that picturesque effect which so delights the young than is common in historical abstracts.