Elementary Geometry, Τόμος 2 |
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Σελίδα 23
... placed so as to have their centres 14 , 14 , and 15 inches apart . Shew whether the circles will meet or touch or not meet one another . 9. What will be the case if the centres are 1 inch , I'I inch , or 12 inches apart ? SECTION IV ...
... placed so as to have their centres 14 , 14 , and 15 inches apart . Shew whether the circles will meet or touch or not meet one another . 9. What will be the case if the centres are 1 inch , I'I inch , or 12 inches apart ? SECTION IV ...
Σελίδα 63
... placed on the angle B ; then F and D would fall as F ' and D ' on BC and BA , or on those lines produced : and because the F = the 4 C , therefore F'D ' is parallel to CA ; and therefore BF ' : BC :: BD ′ : BA , and therefore BF : BD ...
... placed on the angle B ; then F and D would fall as F ' and D ' on BC and BA , or on those lines produced : and because the F = the 4 C , therefore F'D ' is parallel to CA ; and therefore BF ' : BC :: BD ′ : BA , and therefore BF : BD ...
Σελίδα 64
... placed on the equal angle B , then D and F will fall as at D ' and F ' on the sides BA , BC , BA BC ED : EF , and since therefore : BA : BD :: BC : BF ' , and therefore D'F ' is parallel to AC , and the angles BD'F ' and BFD ' , that ...
... placed on the equal angle B , then D and F will fall as at D ' and F ' on the sides BA , BC , BA BC ED : EF , and since therefore : BA : BD :: BC : BF ' , and therefore D'F ' is parallel to AC , and the angles BD'F ' and BFD ' , that ...
Σελίδα 76
... placed so as to have AB , BE in one straight line , and there- fore also , since the parallelo- grams are equiangular , so as to have CB , BF in one straight line . A Complete the parallelogram CBE . F Then the ratio of DB : BG is ...
... placed so as to have AB , BE in one straight line , and there- fore also , since the parallelo- grams are equiangular , so as to have CB , BF in one straight line . A Complete the parallelogram CBE . F Then the ratio of DB : BG is ...
Σελίδα 97
... placed round the circumference of the circle , and thus a regular decagon would be inscribed . COR . I. Hence a regular pentagon may be inscribed in a circle by joining the alternate angular points of an inscribed decagon . COR . 2 ...
... placed round the circumference of the circle , and thus a regular decagon would be inscribed . COR . I. Hence a regular pentagon may be inscribed in a circle by joining the alternate angular points of an inscribed decagon . COR . 2 ...
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.