Elementary Geometry, Τόμος 2 |
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Σελίδα vi
... circumference by any arc of a circle is half of the angle subtended by the same arc at the centre . . . . . . 11 COR. i. Angles in the same segment of a circle are equal to one another . . . . . . . . . .12 Cor. 1. If a circle is ...
... circumference by any arc of a circle is half of the angle subtended by the same arc at the centre . . . . . . 11 COR. i. Angles in the same segment of a circle are equal to one another . . . . . . . . . .12 Cor. 1. If a circle is ...
Σελίδα vii
... circumference : and as a point moves along the circumference from the extremity of the shortest to the extremity of the longest normal , its distance from the fixed point continually increases THEOREM IO . Intersection of Circles . The ...
... circumference : and as a point moves along the circumference from the extremity of the shortest to the extremity of the longest normal , its distance from the fixed point continually increases THEOREM IO . Intersection of Circles . The ...
Σελίδα viii
... to half the rectangle contained by the radius and a straight line equal to the circumference • Miscellaneous Theorems and Problems PAGE 31 32 • .33 34 • 35 • 37 BOOK III . PROPORTION . CONTENTS . INTRODUCTION . Measures viii CONTENTS .
... to half the rectangle contained by the radius and a straight line equal to the circumference • Miscellaneous Theorems and Problems PAGE 31 32 • .33 34 • 35 • 37 BOOK III . PROPORTION . CONTENTS . INTRODUCTION . Measures viii CONTENTS .
Σελίδα 1
... circumference from the centre is called the radius . Def . 4 . A line through the centre , terminated both ways by the circumference , is called a diameter of a circle . Def . 5. Any portion of a circumference is called an arc . Def . 6 ...
... circumference from the centre is called the radius . Def . 4 . A line through the centre , terminated both ways by the circumference , is called a diameter of a circle . Def . 5. Any portion of a circumference is called an arc . Def . 6 ...
Σελίδα 2
... A point is outside , on , or inside the circumference according as its distance from the centre is greater than , equal .to , or less than the radius . SECTION I. PROPERTIES OF CENTRE . THEOREM I. ROTATORY PROPERTIES 2 ELEMENTARY GEOMETRY .
... A point is outside , on , or inside the circumference according as its distance from the centre is greater than , equal .to , or less than the radius . SECTION I. PROPERTIES OF CENTRE . THEOREM I. ROTATORY PROPERTIES 2 ELEMENTARY GEOMETRY .
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD Algebra angle AOB angular points ARITHMETIC base bisectors bisects the angle BROOKE FOSS WESTCOTT Cambridge centre circles touch circumference circumscribed cloth common measure common tangents Construction Crown 8vo decagon Describe a circle diameter divided drawn EDUCATIONAL BOOKS ELEMENTARY TREATISE equal arcs equal chords equiangular equilateral triangle Examples Fcap find the locus follows GEOMETRY given circle given line given point given ratio given straight line Hence homologous hypothenuse incommensurable inscribed intersect John's College Join Let ABC LIST OF EDUCATIONAL magnitudes Mathematical mean proportional middle points numerical values parallel parallelograms pass perimeter perpendicular point of contact PROBLEM prove Ptolemy's Theorem quadrilateral figure radii radius rectangle contained regular polygon right angles Schools secant Second Edition segments shew shewn similar triangles SPQR student subtend equal angles tangent THEOREM triangle ABC vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 8 - MORGAN — A COLLECTION OF PROBLEMS AND EXAMPLES IN MATHEMATICS. With Answers. By HA Morgan, MA, Sadlerian and Mathematical Lecturer of Jesus College, Cambridge.
Σελίδα 3 - 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 15 - 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 15 - 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 104 - 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.
Σελίδα 3 - 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 15 - THE BIBLE IN THE CHURCH. A Popular Account of the Collection and Reception of the Holy Scriptures in the Christian Churches.
Σελίδα 2 - 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 9 - FRS, late Fellow and Assistant Tutor of St. Peter's College, Cambridge ; Examiner in the University of London.
Σελίδα 7 - NEWTON'S PRINCIPIA, With Notes and Illustrations. Also a collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, MA Third Edition. 8vo.