Geometry for schools, comprising books i. and ii. of Euclid, with some additions and numerous exercises, by A.J.G. BarclayOliver & Boyd, 1883 - 96 sider |
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Side 17
... prove AB = AC . If AB be not the other . = AC , one must be > Let AB be > AC ; cut off BD ( Post . 3 ) . Join DC . = AC B C . : DB = AC , and BC is common to the triangles DBC and ACB , and DBC ACB ( given ) , .. A DBC = = △ = △ ACB ...
... prove AB = AC . If AB be not the other . = AC , one must be > Let AB be > AC ; cut off BD ( Post . 3 ) . Join DC . = AC B C . : DB = AC , and BC is common to the triangles DBC and ACB , and DBC ACB ( given ) , .. A DBC = = △ = △ ACB ...
Side 18
... ( proved ) , .. A BAC = △ EDF in every respect ( I. 4 ) . Q.E.D. 15. Prove the above proposition when DG passes through the point F , and also when DG falls beyond F. 16. The straight line joining the vertex of an isosceles triangle to ...
... ( proved ) , .. A BAC = △ EDF in every respect ( I. 4 ) . Q.E.D. 15. Prove the above proposition when DG passes through the point F , and also when DG falls beyond F. 16. The straight line joining the vertex of an isosceles triangle to ...
Side 20
... also from its extremity . 22. In a given straight line to find a point equidistant from two given points . That this is not always possible can be proved by I. 28 . PROP . 12. PROB . To draw a straight line 20 GEOMETRY .
... also from its extremity . 22. In a given straight line to find a point equidistant from two given points . That this is not always possible can be proved by I. 28 . PROP . 12. PROB . To draw a straight line 20 GEOMETRY .
Side 22
... prove ABC and ABD either two right angles , or together equal to two right angles . If ABC = ABD ( as in Fig . 1 ) , each is a right angle ( Def . 7 ) . But if ABC be not = ABD ( as in Fig . 2 ) , from B draw BE CD ( I. 11 ) . : CBA ...
... prove ABC and ABD either two right angles , or together equal to two right angles . If ABC = ABD ( as in Fig . 1 ) , each is a right angle ( Def . 7 ) . But if ABC be not = ABD ( as in Fig . 2 ) , from B draw BE CD ( I. 11 ) . : CBA ...
Side 23
... prove CB and BD in C- one straight line . E D If BD be not in the same st . line with CB , produce CB to E ( Post . 2 ) , and BE will not coincide with BD . AB meets the st . line CBE , ≤ ABC + △ ABE 2 Ls . ( I. 13 ) . But ABC + ABD ...
... prove CB and BD in C- one straight line . E D If BD be not in the same st . line with CB , produce CB to E ( Post . 2 ) , and BE will not coincide with BD . AB meets the st . line CBE , ≤ ABC + △ ABE 2 Ls . ( I. 13 ) . But ABC + ABD ...
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Geometry For Schools, Comprising Books I. And Ii. Of Euclid, With Some ... Euclides Ingen forhåndsvisning tilgjengelig - 2019 |
Geometry For Schools, Comprising Books I. And Ii. Of Euclid, With Some ... Euclides Ingen forhåndsvisning tilgjengelig - 2019 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 15 - If two triangles have two sides of the one equal to two sides of the...
Side 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,
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Side 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.
Side 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.
Side 81 - Critical Remarks, in which the various Methods of Pronouncing employed by different Authors are investigated and compared with each other.
Side 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...
Side 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.
Side 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.
Side 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.