Euclidian Geometry |
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Page vi
... given possesses the combined advantages of being rigorous , geo- metrical , simple and short . The terms duplicate ratio and compound ratio have been relegated to the Supplement ... a line divided in various ways , available for vi PREFACE .
... given possesses the combined advantages of being rigorous , geo- metrical , simple and short . The terms duplicate ratio and compound ratio have been relegated to the Supplement ... a line divided in various ways , available for vi PREFACE .
Page 10
... straight lines radii . It is taken for granted that a circle can be described having any centre and radius equal to any given straight line . PROBLEM A. Describe an equilateral triangle upon a given straight 10 STRAIGHT LINES , ANGLES AND ...
... straight lines radii . It is taken for granted that a circle can be described having any centre and radius equal to any given straight line . PROBLEM A. Describe an equilateral triangle upon a given straight 10 STRAIGHT LINES , ANGLES AND ...
Page 11
Francis Cuthbertson. PROBLEM A. Describe an equilateral triangle upon a given straight line . B E Let AB be the given straight line . It is required to describe an equilateral triangle upon AB . With A as centre , and radius AB ...
Francis Cuthbertson. PROBLEM A. Describe an equilateral triangle upon a given straight line . B E Let AB be the given straight line . It is required to describe an equilateral triangle upon AB . With A as centre , and radius AB ...
Page 12
... the As ABF , ACF are equal in all respects , and .. the BAF is the = CAF , .. DAE has been bisected by AF . ( 1.5 ) Q. E. F. PROBLEM C. To bisect a given straight line . Let 12 STRAIGHT LINES , ANGLES AND TRIANGLES . PROBLEM B. ...
... the As ABF , ACF are equal in all respects , and .. the BAF is the = CAF , .. DAE has been bisected by AF . ( 1.5 ) Q. E. F. PROBLEM C. To bisect a given straight line . Let 12 STRAIGHT LINES , ANGLES AND TRIANGLES . PROBLEM B. ...
Page 13
Francis Cuthbertson. PROBLEM C. To bisect a given straight line . Let AB be the given straight line . It is required to bisect it . With centres A and B describe two circles having equal radii intersecting in C , D. Join CD cutting AB in ...
Francis Cuthbertson. PROBLEM C. To bisect a given straight line . Let AB be the given straight line . It is required to bisect it . With centres A and B describe two circles having equal radii intersecting in C , D. Join CD cutting AB in ...
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Common terms and phrases
base bisect Cambridge centre chapter chord circle circumference classes cloth College common complete construction contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure former four GEOMETRY given point given straight line Grammar greater Hence Illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perimeter perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio reading rect rectangle render respectively revised right angles Schools Second Edition segment selected sides similar Similarly square student taken tangent THEOREM third touch TREATISE triangle twice University volume whole
Popular passages
Page 1 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Page 10 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
Page 42 - Friends," with briefer Notes. i8mo. 3*. 6d. GREEK TESTAMENT. Edited, with Introduction and Appendices, by CANON WESTCOTT and Dr. FJA HORT. Two Vols. Crown 8vo. [/« the press. HARDWICK — Works by Archdeacon HARDWICK. A HISTORY OF THE CHRISTIAN CHURCH. Middle Age. From Gregory the Great to the Excommunication of Luther. Edited by WILLIAM STUBBS, MA, Regius Professor of Modern History in the University of Oxford. With Four Maps constructed for this work by A. KEITH JOHNSTON.
Page 31 - HISTORICAL OUTLINES OF ENGLISH ACCIDENCE, comprising Chapters on the History and Development of the Language, and on Word-formation.
Page 15 - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.
Page 47 - 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.
Page 45 - PROCTER— A HISTORY OF THE BOOK OF COMMON PRAYER, with a Rationale of its Offices. By FRANCIS PROCTER, MA Thirteenth Edition, revised and enlarged. Crown 8vo. loг. 6d. PROCTER AND MACLEAR— AN ELEMENTARY INTRODUCTION TO THE BOOK OF COMMON PRAYER.
Page 12 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.
Page 157 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
Page 15 - ... and the principles on which the observations made with these instruments are treated for deduction of the distances and weights of the bo.iits of the Solar System, and of a few stars, omitting all minutiit of Elementary Class- Books — continued. formulcE, and all troublesome details of calculation.
Bibliographic information
| Title | Euclidian Geometry |
| Author | Francis Cuthbertson |
| Publisher | Macmillan, 1874 |
| Original from | Oxford University |
| Digitized | 8 Sep 2006 |
| Length | 349 pages |
| Export Citation | BiBTeX EndNote RefMan |