Elementary Geometry, Volumen1Macmillan, 1868 |
Dentro del libro
Resultados 1-5 de 13
Página 7
... the exterior angle being greater than the interior and opposite . A Q P B For from the nature of the reasoning given above it fol- lows that OPB is OQB , and OQA OPA . NOTE . It is assumed as self- evident in the PLANE ANGLES . 7.
... the exterior angle being greater than the interior and opposite . A Q P B For from the nature of the reasoning given above it fol- lows that OPB is OQB , and OQA OPA . NOTE . It is assumed as self- evident in the PLANE ANGLES . 7.
Página 8
James Maurice Wilson. NOTE . It is assumed as self- evident in the proof above given , that the angle OPB continually de- creases ; that is , that the angle OPB in the figure here given is greater than the angle OQB . This fact can B be ...
James Maurice Wilson. NOTE . It is assumed as self- evident in the proof above given , that the angle OPB continually de- creases ; that is , that the angle OPB in the figure here given is greater than the angle OQB . This fact can B be ...
Página 28
... NOTE . By corresponding angles in any two triangles are meant those which are opposite to equal sides ; and by corresponding sides are meant those which are opposite to equal angles . THEOREM 19 . If two triangles have two sides of the ...
... NOTE . By corresponding angles in any two triangles are meant those which are opposite to equal sides ; and by corresponding sides are meant those which are opposite to equal angles . THEOREM 19 . If two triangles have two sides of the ...
Página 36
... Note . A four - sided figure is called a quadrilateral figure , and the lines that join its opposite angles are called its diagonals . 3 . The sum of the diagonals of a quadrilateral figure is less than the sum of the four lines which ...
... Note . A four - sided figure is called a quadrilateral figure , and the lines that join its opposite angles are called its diagonals . 3 . The sum of the diagonals of a quadrilateral figure is less than the sum of the four lines which ...
Página 41
... Note . This construction is usually effected in practice by means of the square . PROBLEM 4 . To draw a perpendicular to a given straight line from a given point without it . D F Let BC be the given straight line , A the given point ...
... Note . This construction is usually effected in practice by means of the square . PROBLEM 4 . To draw a perpendicular to a given straight line from a given point without it . D F Let BC be the given straight line , A the given point ...
Otras ediciones - Ver todas
Términos y frases comunes
AB² ABCD AC² adjacent angles Algebra angle ABC angle BAC angle OPB AP² BC² BP² BROOKE FOSS WESTCOTT Cambridge Christ's College cloth coincide CONIC SECTIONS construct a triangle construct the triangle corresponding angles CP² Crown 8vo diagonals difference direction Edward Thring ELEMENTARY TREATISE equal angles Euclid Examples EXERCISES exterior angles Fcap follows four right angles Geometry given angle given line given point given straight line greater Hence included angle intersecting isosceles triangle John's College less Let ABC line which joins locus Mathematical meet middle point MIXED MATHEMATICS obtuse angle opposite angles opposite sides parallelogram perpendicular points of bisection problems produced Proof prove quadrilateral rectangle contained rectilineal respectively equal rhombus right angles Schools Second Edition Shew student Theorem 16 three sides triangle ABC triangle are respectively triangles are equal TRIGONOMETRY twice the rectangle unequal vertex whole line
Pasajes populares
Página 16 - PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
Página 23 - WILSON — THE BIBLE STUDENT'S GUIDE to the more Correct Understanding of the English Translation of the Old Testament, by reference to the original Hebrew. By WILLIAM WILSON, DD, Canon of Winchester, late Fellow of Queen's College, Oxford. Second Edition, carefully revised. 410. cloth. 25*. YONGE (CHARLOTTE M.)— SCRIPTURE READINGS FOR SCHOOLS AND FAMILIES. By CHARLOTTE M. YONGE, Author of "The Heir of Redclyffe.
Página 23 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Página 4 - CICERO— THE SECOND PHILIPPIC ORATION. From the German of Karl Halm. Edited, with Corrections and Additions, by JOHN EB MAYOR, Professor of Latin in the University of Cambridge, and Fellow of St.
Página 6 - Thucydides. — THE SICILIAN EXPEDITION. Being Books VI. and VII. of Thucydides, with Notes. A New Edition, revised and enlarged, with a Map. By the Rev. PERCIVAL FROST, MA, late Fellow of St. John's College, Cambridge. Fcap. 8vo.
Página 7 - HELLENICA; OR, A HISTORY OF GREECE IN GREEK, as related by Diodorus and Thucydides ; being a First Greek Reading Book, with explanatory Notes, Critical and Historical.
Página 16 - ... obtaining all the information which he will require on this branch of Mathematics. Each chapter is followed by a set of Examples : those which are entitled Miscellaneous Examples, together with a few in some of the other sets, may be advantageously reserved by the student for exercist after he has made some progress in the subject.
Página 22 - PROCTER— A HISTORY OF THE BOOK OF COMMON PRAYER, with a Rationale of its Offices. By FRANCIS PROCTER, MA Thirteenth Edition, revised and enlarged. Crown 8vo. loг. 6d. PROCTER AND MACLEAR— AN ELEMENTARY INTRODUCTION TO THE BOOK OF COMMON PRAYER.
Página 5 - For really ripe scholarship. extensive acquaintance with Latin literature, and familiar knowledge of continental criticism, ancient and modern, it is unsurpassed among English editions.
Página 11 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.