Elementary Geometry, Τόμος 2 |
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Σελίδα 7
... shew that the feet of the perpendiculars are equally distant from the centre . 4. The locus of the points of bisection of parallel chords of a circle is the diameter at right angles to those chords . 5 . If a diameter of a circle ...
... shew that the feet of the perpendiculars are equally distant from the centre . 4. The locus of the points of bisection of parallel chords of a circle is the diameter at right angles to those chords . 5 . If a diameter of a circle ...
Σελίδα 23
... shew that they intercept arcs the chords of which are parallel . 8. Circles whose radii are 67 and 7.8 inches are successively placed so as to have their centres 14 , 14 , and 15 inches apart . Shew whether the circles will meet or ...
... shew that they intercept arcs the chords of which are parallel . 8. Circles whose radii are 67 and 7.8 inches are successively placed so as to have their centres 14 , 14 , and 15 inches apart . Shew whether the circles will meet or ...
Σελίδα 35
... shew that a regular pentagon can be described , and by means of it the decagon , quindecagon , & c . THEOREM . The area of a circle is equal to half the rectangle contained by the radius and a straight line equal to the circumference ...
... shew that a regular pentagon can be described , and by means of it the decagon , quindecagon , & c . THEOREM . The area of a circle is equal to half the rectangle contained by the radius and a straight line equal to the circumference ...
Σελίδα 38
... shew that EF bisects AB . 9. Two circles touch one another in A , and have a common tangent BC . Shew that the angle BAC is a right angle . IO . Describe ( when possible ) a circle of given radius to touch ( 1 ) two given lines , ( 2 ) ...
... shew that EF bisects AB . 9. Two circles touch one another in A , and have a common tangent BC . Shew that the angle BAC is a right angle . IO . Describe ( when possible ) a circle of given radius to touch ( 1 ) two given lines , ( 2 ) ...
Σελίδα 39
... Shew that the inscribed equilateral triangle is one- fourth of the circumscribed equilateral triangle . 25. A ladder slips down a wall : find the locus of its middle point . 26. If from two fixed points in the circumference of a circle ...
... Shew that the inscribed equilateral triangle is one- fourth of the circumscribed equilateral triangle . 25. A ladder slips down a wall : find the locus of its middle point . 26. If from two fixed points in the circumference of a 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.