Elementary Geometry, Τόμος 2 |
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Σελίδα vii
... intersecting circles , or that line produced , bisects at right angles their common chord THEOREM II . If two circles touch one another , the line that joins their centres will pass through the point of contact PAGE 19 20 21 Exercises ...
... intersecting circles , or that line produced , bisects at right angles their common chord THEOREM II . If two circles touch one another , the line that joins their centres will pass through the point of contact PAGE 19 20 21 Exercises ...
Σελίδα viii
... intersect in one point , which is the centre of the circles inscribed in the polygon , or circumscribed about it • PROBLEM 8. To construct a regular polygon of four , eight , six- teen sides , and inscribe them in , or describe them ...
... intersect in one point , which is the centre of the circles inscribed in the polygon , or circumscribed about it • PROBLEM 8. To construct a regular polygon of four , eight , six- teen sides , and inscribe them in , or describe them ...
Σελίδα 8
... intersect in only one point . The three points thus determine the circle . COR . I. Circles that have three points in common , coin- cide wholly . Hence a circle is named by the letters which mark three points on its circumference . COR ...
... intersect in only one point . The three points thus determine the circle . COR . I. Circles that have three points in common , coin- cide wholly . Hence a circle is named by the letters which mark three points on its circumference . COR ...
Σελίδα 10
... intersect one another , the seg- ments of the one are equal to the segments of the other respectively . 6. Two chords cannot bisect one another unless both pass through the centre . 7. Given a curve , to ascertain whether it is an arc ...
... intersect one another , the seg- ments of the one are equal to the segments of the other respectively . 6. Two chords cannot bisect one another unless both pass through the centre . 7. Given a curve , to ascertain whether it is an arc ...
Σελίδα 15
... intersect on the third side or third side produced . 7. Any number of chords of a circle are drawn through a point on its circumference : find the locus of their middle points . 8. If through any point , within or without a circle ...
... intersect on the third side or third side produced . 7. Any number of chords of a circle are drawn through a point on its circumference : find the locus of their middle points . 8. If through any point , within or without a circle ...
Άλλες εκδόσεις - Προβολή όλων
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.