Elementary Geometry, Τόμος 2 |
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Αποτελέσματα 1 - 5 από τα 12.
Σελίδα 11
... . Similarly the angle QOB is double of the angle OPB . Hence ( in fig . 1 ) the sum , or ( in fig . 2 ) the difference of the angles AOQ , QOB is double of the sum or dif ference of OPA and OPB , that is , the ANGLES IN SEGMENTS . II.
... . Similarly the angle QOB is double of the angle OPB . Hence ( in fig . 1 ) the sum , or ( in fig . 2 ) the difference of the angles AOQ , QOB is double of the sum or dif ference of OPA and OPB , that is , the ANGLES IN SEGMENTS . II.
Σελίδα 20
... difference of OP and OA is AC , since OP = OC ; and therefore AC is less than AP : and the sum of OP and OA is AB , since OP = OB , and therefore AB is greater than AP . Hence of all lines drawn from A to the circumference AC is the ...
... difference of OP and OA is AC , since OP = OC ; and therefore AC is less than AP : and the sum of OP and OA is AB , since OP = OB , and therefore AB is greater than AP . Hence of all lines drawn from A to the circumference AC is the ...
Σελίδα 23
... difference of the distances of its centre from the centre of the two given circles will be constant . 4 . If two circles intersect one another , and circles are drawn to touch both , prove that either the sum or the dif- ference of the ...
... difference of the distances of its centre from the centre of the two given circles will be constant . 4 . If two circles intersect one another , and circles are drawn to touch both , prove that either the sum or the dif- ference of the ...
Σελίδα 27
... equal to the sum or difference of the radii of the given circles , describe a circle , as in the figures . R Ꭱ From O draw a tangent to this circle , touching PROBLEMS . 27 To draw a common tangent to two given circles.
... equal to the sum or difference of the radii of the given circles , describe a circle , as in the figures . R Ꭱ From O draw a tangent to this circle , touching PROBLEMS . 27 To draw a common tangent to two given circles.
Σελίδα 49
... quantities are the means that we use to express the concrete . Seven shillings , five horses , three acres are concrete quantities : seven , five , three are abstract quantities . The difference is most clearly seen RATIO . 49.
... quantities are the means that we use to express the concrete . Seven shillings , five horses , three acres are concrete quantities : seven , five , three are abstract quantities . The difference is most clearly seen RATIO . 49.
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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.