Euclidian Geometry |
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Side 2
... ABC , ABH could have a common segment AB ; then the straight line ABC
might be turned about its extremity A , towards the side on which BH is , so as to
cut BH ; and thus two straight lines would enclose a space , which is impossible .
... ABC , ABH could have a common segment AB ; then the straight line ABC
might be turned about its extremity A , towards the side on which BH is , so as to
cut BH ; and thus two straight lines would enclose a space , which is impossible .
Side 3
Thus two straight lines would enclose a space , which is impossible . It is evident
that Magnitudes which may be made to coincidi , i . e . exactly fill the same space
, are equal to one another . If two angles can be so placed that their vertices ...
Thus two straight lines would enclose a space , which is impossible . It is evident
that Magnitudes which may be made to coincidi , i . e . exactly fill the same space
, are equal to one another . If two angles can be so placed that their vertices ...
Side 4
BC will coincide with EF . For if it fell otherwise , as EKF , then two straight lines
would enclose a space , which is impossible ; . . BC is = EF . Also the A ABC will
coincide with and is . : . = A DEF , LABC will coincide with and is . : = DEF ; so ...
BC will coincide with EF . For if it fell otherwise , as EKF , then two straight lines
would enclose a space , which is impossible ; . . BC is = EF . Also the A ABC will
coincide with and is . : . = A DEF , LABC will coincide with and is . : = DEF ; so ...
Side 17
25 FAB , FAC are equal to one another , and also z s GAB , GAC are equal to one
another , which is impossible . . : from a given point in a given straight line there
cannot be drawn more than one straight line I to it . CoR . All right angles are ...
25 FAB , FAC are equal to one another , and also z s GAB , GAC are equal to one
another , which is impossible . . : from a given point in a given straight line there
cannot be drawn more than one straight line I to it . CoR . All right angles are ...
Side 19
LABE is = 1 ABD , which is impossible . . : , no other straight line than BD is in the
same straight line with BC ; . . BD is in the same straight line with BC .
PROPOSITION XI . It is always possible to draw a. same 2 - 2 RIGHT ANGLES . '
LABE is = 1 ABD , which is impossible . . : , no other straight line than BD is in the
same straight line with BC ; . . BD is in the same straight line with BC .
PROPOSITION XI . It is always possible to draw a. same 2 - 2 RIGHT ANGLES . '
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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.
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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.
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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 |