Elementary Geometry, Τόμος 2 |
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Σελίδα vii
... 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 23 PROBLEM I. SECTION IV . PROBLEMS . Given an ...
... 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 23 PROBLEM I. SECTION IV . PROBLEMS . Given an ...
Σελίδα x
... bisect the vertical angle of a triangle and meet the base , it will divide the base into two segments which have to one another the ratio of the sides of the triangle FIVE COROLLARIES THEOREM 6. If two triangles have two angles of the ...
... bisect the vertical angle of a triangle and meet the base , it will divide the base into two segments which have to one another the ratio of the sides of the triangle FIVE COROLLARIES THEOREM 6. If two triangles have two angles of the ...
Σελίδα 6
... bisects the chord ; ( 4 ) it bisects the arc QAP ; ( 5 ) it bisects the arc PBQ ; ( 6 ) it bisects any chord parallel to PQ . And since only one line can be drawn to fulfil any two of the above conditions , it follows that a line which ...
... bisects the chord ; ( 4 ) it bisects the arc QAP ; ( 5 ) it bisects the arc PBQ ; ( 6 ) it bisects any chord parallel to PQ . And since only one line can be drawn to fulfil any two of the above conditions , it follows that a line which ...
Σελίδα 7
... bisects a chord which does not pass through the centre , it will bisect all chords which are parallel to it . 6. AB and CD are unequal parallel chords in a circle , prove that AC and BD , and likewise AD and BC inter- sect on the ...
... bisects a chord which does not pass through the centre , it will bisect all chords which are parallel to it . 6. AB and CD are unequal parallel chords in a circle , prove that AC and BD , and likewise AD and BC inter- sect on the ...
Σελίδα 8
... bisects AB at right angles . ( Th . 2 , Cor . B. ) Similarly , the line that bisects BC at right angles must pass through the centre . Hence the centre must be at O , the point of intersection of these perpendiculars ; and the circle ...
... bisects AB at right angles . ( Th . 2 , Cor . B. ) Similarly , the line that bisects BC at right angles must pass through the centre . Hence the centre must be at O , the point of intersection of these perpendiculars ; and the circle ...
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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.