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 56
... rectangle whose sides shall be respectively equal to two given straight lines . 139. Squares on equal lines are ... rectangle contained by this line and the perpendicular between the parallel sides of the trapezium . PROP . 47. THEOR ...
... rectangle whose sides shall be respectively equal to two given straight lines . 139. Squares on equal lines are ... rectangle contained by this line and the perpendicular between the parallel sides of the trapezium . PROP . 47. THEOR ...
Side 59
... rectangle . 148. If the square on one side of a triangle be greater than , or less than , the sum of the squares on the other two sides , of what kind will be the angle contained by those sides ? I. On Analysis and Synthesis . When a ...
... rectangle . 148. If the square on one side of a triangle be greater than , or less than , the sum of the squares on the other two sides , of what kind will be the angle contained by those sides ? I. On Analysis and Synthesis . When a ...
Side 81
... rectangle , the sum of the squares on the lines drawn to the one pair of opposite angles shall be equal to the sum ... contained by the last two lines shall be double of the angle contained by the first two . = Or , If a ray of light be ...
... rectangle , the sum of the squares on the lines drawn to the one pair of opposite angles shall be equal to the sum ... contained by the last two lines shall be double of the angle contained by the first two . = Or , If a ray of light be ...
Side 84
... rectangle contained by the two parts . Let AB be divided into any two parts at C. To prove AB2 AC2 + CB2 + = 2 rect . AC . CB . Describe the square on AB ( I. 46 ) . Through C draw CF || AD ( I. 31 ) . Cut off CG = = CB ; and BE ( 1.34 ) ...
... rectangle contained by the two parts . Let AB be divided into any two parts at C. To prove AB2 AC2 + CB2 + = 2 rect . AC . CB . Describe the square on AB ( I. 46 ) . Through C draw CF || AD ( I. 31 ) . Cut off CG = = CB ; and BE ( 1.34 ) ...
Side 85
... rectangle contained by the whole and that part , together with the square on the other part . Let AB be divided into any two parts at C. To prove AB2 + CB2 = AB . BC + AC2 . :: AB2 = с Α B = 2 rect . AC2 + CB2 + 2 rect . AC . CB ( II ...
... rectangle contained by the whole and that part , together with the square on the other part . Let AB be divided into any two parts at C. To prove AB2 + CB2 = AB . BC + AC2 . :: AB2 = с Α B = 2 rect . AC2 + CB2 + 2 rect . AC . CB ( II ...
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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,
Side 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.
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.