Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 6 - 10 από τα 100.
Σελίδα 1
E. M. Reynolds. MODERN METHODS IN ELEMENTARY GEOMETRY . BOOK I. THE STRAIGHT LINE , Two straight lines AB , AC which meet form an angle . The straight lines AB , AC are called the sides of the angle , and the point A the vertex . An ...
E. M. Reynolds. MODERN METHODS IN ELEMENTARY GEOMETRY . BOOK I. THE STRAIGHT LINE , Two straight lines AB , AC which meet form an angle . The straight lines AB , AC are called the sides of the angle , and the point A the vertex . An ...
Σελίδα 4
... . AEC to DEB , and AED to BEC . For and also Therefore Therefore Similarly , AEC + AED = 2R , AED + DEB = 2R . AEC + AED AED + DEB . = AEC DEB . = AED = BEC . THEOREM III . Any straight line AB is less than 4 ELEMENTARY GEOMETRY .
... . AEC to DEB , and AED to BEC . For and also Therefore Therefore Similarly , AEC + AED = 2R , AED + DEB = 2R . AEC + AED AED + DEB . = AEC DEB . = AED = BEC . THEOREM III . Any straight line AB is less than 4 ELEMENTARY GEOMETRY .
Σελίδα 6
... be turned about BC so that A may fall on A ' . Then , since ADB is a right angle , ADB + BDA ' = 2R . Therefore ADA ' is a straight line . Whence AA ' < AE + EA ' . MI . 3 . Therefore AD < AE . Also AE + EA ' 6 ELEMENTARY GEOMETRY .
... be turned about BC so that A may fall on A ' . Then , since ADB is a right angle , ADB + BDA ' = 2R . Therefore ADA ' is a straight line . Whence AA ' < AE + EA ' . MI . 3 . Therefore AD < AE . Also AE + EA ' 6 ELEMENTARY GEOMETRY .
Σελίδα 8
... to the angles ( 1 ) , ( 2 ) , ( I ) , ( II ) . Also ( 3 ) = ( I ) , for each is equal to ( 1 ) . Similarly Again ( 2 ) = ( IV ) . ( I ) + ( 2 ) = ( 1 ) + ( 2 ) = 2R . Similarly ( 3 ) + ( IV ) = 2R 8 ELEMENTARY GEOMETRY .
... to the angles ( 1 ) , ( 2 ) , ( I ) , ( II ) . Also ( 3 ) = ( I ) , for each is equal to ( 1 ) . Similarly Again ( 2 ) = ( IV ) . ( I ) + ( 2 ) = ( 1 ) + ( 2 ) = 2R . Similarly ( 3 ) + ( IV ) = 2R 8 ELEMENTARY GEOMETRY .
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
Algebra alternate angle altitude ARITHMETIC base BC² BEGINNERS bisect BROOKE FOSS WESTCOTT Cambridge centre chord Christ's College circle touching circumference Clifton College cloth coincide congruent CONIC SECTIONS construct contains convex angle Crown 8vo describe a circle diagonals diameter dicular distance divide Edward Thring ELEMENTARY TREATISE equal angles equally distant equiangular equilateral triangle Examination Papers Exercises exterior angle Fcap Fellow of St GEOMETRY given circle given line given point given square given straight line greater Greek Text Head Master Hence inscribe intersect John's College Join JOSEPH WOLSTENHOLME Jugurtha late Fellow Latin Let ABCD line drawn locus Mathematical Lecturer measure meet middle point MIXED MATHEMATICS numerous parallel to BC parallelogram perpen perpendicular polygon problems quadrilateral figure radius rectangle right angles Second Edition Shew similar triangles student tangent THEOREM VII Third Edition trapezium triangle ABC vertex
Δημοφιλή αποσπάσματα
Σελίδα 7 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Σελίδα 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.
Σελίδα 16 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
Σελίδα 5 - 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.
Σελίδα 5 - 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.
Σελίδα 4 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Σελίδα 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.
Σελίδα 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.
Σελίδα 5 - THE BIBLE IN THE CHURCH. A Popular Account of the Collection and Reception of the Holy Scriptures in the Christian Churches.
Σελίδα 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.