Euclidian Geometry |
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Side viii
With a view to facilitating the student ' s progress it has been arranged that , as a
rule , each proposition should have a page to itself , and that those of greater
length should occupy pages facing each other : so also that propositions and the
...
With a view to facilitating the student ' s progress it has been arranged that , as a
rule , each proposition should have a page to itself , and that those of greater
length should occupy pages facing each other : so also that propositions and the
...
Side xv
greater than . < less than . . : : because . . : therefore . : is to . The object aimed at
is merely to place before the student the various steps of an argument in a more
succinct form by curtailing the verbiage , thus enabling him to take in at a glance
...
greater than . < less than . . : : because . . : therefore . : is to . The object aimed at
is merely to place before the student the various steps of an argument in a more
succinct form by curtailing the verbiage , thus enabling him to take in at a glance
...
Side xvi
If one magnitude be greater than another any multiple of the former is greater
than the same multiple of the latter . If a multiple of one magnitude be greater
than the same multiple of another then the former magnitude is greater than the
latter .
If one magnitude be greater than another any multiple of the former is greater
than the same multiple of the latter . If a multiple of one magnitude be greater
than the same multiple of another then the former magnitude is greater than the
latter .
Side 2
The size of an angle does not depend on the length of its arms but on their
direction , and is said to be greater or less according as the difference of direction
of its arms is greater or less . . . It is evident that Two straight lines - cannot
enclose a ...
The size of an angle does not depend on the length of its arms but on their
direction , and is said to be greater or less according as the difference of direction
of its arms is greater or less . . . It is evident that Two straight lines - cannot
enclose a ...
Side 22
PROPOSITION XIII . If a side of a triangle be produced the exterior angle is
greater than either of the interior and opposite angles . - - - - - - - - - - Let the side
BC of A ABC be produced to D . Then shall the LACD be > either of the < s BAC ,
ABC .
PROPOSITION XIII . If a side of a triangle be produced the exterior angle is
greater than either of the interior and opposite angles . - - - - - - - - - - Let the side
BC of A ABC be produced to D . Then shall the LACD be > either of the < s BAC ,
ABC .
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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 |