Euclidian Geometry |
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Page vi
... sides will never meet however far they may be produced in either direction , but rather that of a figure whose opposite sides are equidistant . Again , Euclid's treatment of ratio and proportion is objected to as being only adapted to ...
... sides will never meet however far they may be produced in either direction , but rather that of a figure whose opposite sides are equidistant . Again , Euclid's treatment of ratio and proportion is objected to as being only adapted to ...
Page 4
... sides and the included angle of one triangle be respectively equal to two sides and the included angle of another triangle , the triangles shall be equal in all respects . D B In the AS ABC , DEF , K E let the two sides AB , AC be ...
... sides and the included angle of one triangle be respectively equal to two sides and the included angle of another triangle , the triangles shall be equal in all respects . D B In the AS ABC , DEF , K E let the two sides AB , AC be ...
Page 5
... side AB = the side AC , A the ACB ; then shall the ABC be = also let the equal sides AB , AC be produced to G , H ; B then shall GBC be = LHCB . For if the figure were taken up , re- versed , and then applied to its former position so ...
... side AB = the side AC , A the ACB ; then shall the ABC be = also let the equal sides AB , AC be produced to G , H ; B then shall GBC be = LHCB . For if the figure were taken up , re- versed , and then applied to its former position so ...
Page 6
... side of another triangle , then shall the triangles be equal in all respects . B E In the As ABC , DEF , let the 4s ABC , ACB and the adjacent side BC be respectively equal to the s DEF , DFE and the adjacent side EF . Then shall the as ...
... side of another triangle , then shall the triangles be equal in all respects . B E In the As ABC , DEF , let the 4s ABC , ACB and the adjacent side BC be respectively equal to the s DEF , DFE and the adjacent side EF . Then shall the as ...
Page 7
... sides opposite to those angles are equal . A B Let ABC be a triangle , having the ABC the △ ACB , then shall the side AC be the side AB . = For if the ABC be taken up , reversed , and applied to the former position of BC and on the same ...
... sides opposite to those angles are equal . A B Let ABC be a triangle , having the ABC the △ ACB , then shall the side AC be the side AB . = For if the ABC be taken up , reversed , and applied to the former position of BC and on the same ...
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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
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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.
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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.