Euclidian Geometry |
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Side 14
... of these lines produced would fall along the former position of the other . Thus
the arms of A would fall along the former positions of the arms of B ; . . the angles
A , B are equal to one another . Similarly the angles H , K may be proved equal .
... of these lines produced would fall along the former position of the other . Thus
the arms of A would fall along the former positions of the arms of B ; . . the angles
A , B are equal to one another . Similarly the angles H , K may be proved equal .
Side 21
ARF would be a straight line ; ( 1 . 10 ) and thus two straight lines would inclose a
space , which is impossible . . . AR is not I to BC . Similarly it may be proved that
no other straight line besides AQ , drawn from A to BC , is I to it . INEQUALITIES .
ARF would be a straight line ; ( 1 . 10 ) and thus two straight lines would inclose a
space , which is impossible . . . AR is not I to BC . Similarly it may be proved that
no other straight line besides AQ , drawn from A to BC , is I to it . INEQUALITIES .
Side 36
13 ) but it is also equal to it , which is impossible . . . PQ , RS do not meet when
produced towards Q , S . Similarly it may be proved that they will not meet if
produced towards P , R . . . they are parallel . Hence are easily deduced the
following ...
13 ) but it is also equal to it , which is impossible . . . PQ , RS do not meet when
produced towards Q , S . Similarly it may be proved that they will not meet if
produced towards P , R . . . they are parallel . Hence are easily deduced the
following ...
Side 57
... be proved that the O QC is = the square on RQ ; . . the whole figure PHNQ , that
is the square on PQ , is = the squares on PR , RQ . PROPOSITION XXXVI . If the
square described on one of AREAS .
... be proved that the O QC is = the square on RQ ; . . the whole figure PHNQ , that
is the square on PQ , is = the squares on PR , RQ . PROPOSITION XXXVI . If the
square described on one of AREAS .
Side 80
Euclid proves the case in which the given equal sides are opposite to equal
angles in each thus : Let ABC , DEF be two as having ABC = - DEF , - ACB = DFE
, and side AB = side DE . Then BC and EF are equal to one another , for , if not ,
one ...
Euclid proves the case in which the given equal sides are opposite to equal
angles in each thus : Let ABC , DEF be two as having ABC = - DEF , - ACB = DFE
, and side AB = side DE . Then BC and EF are equal to one another , for , if not ,
one ...
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base bisect Cambridge centre chapter chord circle circumference 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 rect rectangle render respectively revised right angles Schools segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole
Populære avsnitt
Side 1 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Side 26 - 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.
Side 58 - 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.
Side 47 - HISTORICAL OUTLINES OF ENGLISH ACCIDENCE, comprising Chapters on the History and Development of the Language, and on Word-formation.
Side 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.
Side 63 - 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.
Side 61 - 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.
Side 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.
Side 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...
Side 31 - ... 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.
Bibliografisk informasjon
| Tittel | Euclidian Geometry |
| Forfatter | Francis Cuthbertson |
| Utgiver | Macmillan, 1874 |
| Original fra | Oxford University |
| Digitalisert | 8. sep 2006 |
| Lengde | 349 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |