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 58
... rect- angular . .. it is a square . A E K B H ... sq . on HD = sqq . on DC and CH , which are sides of a rt . - angled A. Suppose the figure GACDEF cut out in cardboard and cut along GH and HD . Let AGAH be turned about the point G as ...
... rect- angular . .. it is a square . A E K B H ... sq . on HD = sqq . on DC and CH , which are sides of a rt . - angled A. Suppose the figure GACDEF cut out in cardboard and cut along GH and HD . Let AGAH be turned about the point G as ...
Σελίδα 76
... rect- angle , a rhombus , a triangle , a trapezium , and a hexagon ? 153. From three points A , B , and C in a straight line having AB = BC , perpendiculars are drawn on another straight line which does not fall between A and C ; show ...
... rect- angle , a rhombus , a triangle , a trapezium , and a hexagon ? 153. From three points A , B , and C in a straight line having AB = BC , perpendiculars are drawn on another straight line which does not fall between A and C ; show ...
Σελίδα 84
... rect . AC . CB . Describe the square on AB ( I. 46 ) . Through C draw CF || AD ( I. 31 ) . Cut off CG = CB ; and BE ... rect . AC . CG and GE is rect . FG . GK AC2 ( I. 34 ) . AC . CB , AC.CB , = = .. HF + CK + AG + GE = AC2 + CB2 + 2 AC ...
... rect . AC . CB . Describe the square on AB ( I. 46 ) . Through C draw CF || AD ( I. 31 ) . Cut off CG = CB ; and BE ... rect . AC . CG and GE is rect . FG . GK AC2 ( I. 34 ) . AC . CB , AC.CB , = = .. HF + CK + AG + GE = AC2 + CB2 + 2 AC ...
Σελίδα 85
... rect . AB . BC + AC2 . :: AB2 = A AC2 + CB2 + 2 rect . AC . CB ( II . 4 ) . To each add CB2 , .. AB2 + CB2 AC2 + 2 CB2 + 2 AC . CB . = Now CB2 + AC . CB .. AB2 + CB2 = = AB . BC ( II . 3 ) . AC2 + 2 AB . BC . Q. E.D. B Note . This ...
... rect . AB . BC + AC2 . :: AB2 = A AC2 + CB2 + 2 rect . AC . CB ( II . 4 ) . To each add CB2 , .. AB2 + CB2 AC2 + 2 CB2 + 2 AC . CB . = Now CB2 + AC . CB .. AB2 + CB2 = = AB . BC ( II . 3 ) . AC2 + 2 AB . BC . Q. E.D. B Note . This ...
Σελίδα 86
... rect . AH , and .. BM + MG = AM . .. the difference of BC2 and AB2 AC.CM = rect . AC . CD . = Q.E.D. Note . - The algebraic proposition corresponding to the above is a2 — b2 = ( a + b ) ( a - b ) . DEF . - If any point be taken in a 86 ...
... rect . AH , and .. BM + MG = AM . .. the difference of BC2 and AB2 AC.CM = rect . AC . CD . = Q.E.D. Note . - The algebraic proposition corresponding to the above is a2 — b2 = ( a + b ) ( a - b ) . DEF . - If any point be taken in a 86 ...
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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
adjacent amount angles equal Atlas base bisect Book bound Carefully Revised centre circle Classes Coloured common cons construct describe diagonals difference distance divided draw drawn Edinburgh Edition English equal Examination Exercises exterior angle fall figure four French Geography given line given point given straight line Grammar greater half History Illustrations interior intersecting isosceles triangle Junior late Lawson's less line joining lines drawn Maps Master meet middle points Modern Geography names Note Oliver and Boyd's opposite sides Outlines parallel parallelogram perpendicular Physical Geography places position Post Price produced PROP proposition prove quadrilateral rect rectangle contained Reid's respect right angles right-angled triangle School Science showing sides equal square Take THEOR third twice vertex vertical whole
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.