Euclidian Geometry |
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Side 8
Let the sides AB , BC , CA of the A ABC be respectively equal to the sides DE , EF
, FD of the A DEF . Then shall . the As ABC , DEF be equal in all respects .
Suppose the A ABC taken up , reversed , and placed so that BC may fall om EF ,
and ...
Let the sides AB , BC , CA of the A ABC be respectively equal to the sides DE , EF
, FD of the A DEF . Then shall . the As ABC , DEF be equal in all respects .
Suppose the A ABC taken up , reversed , and placed so that BC may fall om EF ,
and ...
Side 14
For if the figure were taken up , reversed , and placed so that each of the arms of
H might fall along the former position of the other arm ; then each of these lines
produced would fall along the former position of the other . Thus the arms of A ...
For if the figure were taken up , reversed , and placed so that each of the arms of
H might fall along the former position of the other arm ; then each of these lines
produced would fall along the former position of the other . Thus the arms of A ...
Side 17
K Let ABC , GHK be two right angles , and let the ABC be applied to the 2 GHK ,
so that B may fall on H , and BC along HK , then will BA fall along HG . For if it fell
in any other direction , as HX , then from H there would be drawn two straight ...
K Let ABC , GHK be two right angles , and let the ABC be applied to the 2 GHK ,
so that B may fall on H , and BC along HK , then will BA fall along HG . For if it fell
in any other direction , as HX , then from H there would be drawn two straight ...
Side 28
In the two AS ABC , DEF , let AB , AC be respectively equal to DE , DF , but the .
BAC be > the . EDF , then shall BC be > EF . Place the a ABC so that AB shall fall
on DE , the point C falling on Q on the same side of DE as F . Ist . Let EQ cut DF ...
In the two AS ABC , DEF , let AB , AC be respectively equal to DE , DF , but the .
BAC be > the . EDF , then shall BC be > EF . Place the a ABC so that AB shall fall
on DE , the point C falling on Q on the same side of DE as F . Ist . Let EQ cut DF ...
Side 32
PROBLEM F . Find the shortest path from a given point to a given straight line . -
Let A be the given point and BC the given straight line . From A let fall AQ 1 to BC
. Then shall AQ be less than any other straight line AR drawn from A to BC . ( 1 .
PROBLEM F . Find the shortest path from a given point to a given straight line . -
Let A be the given point and BC the given straight line . From A let fall AQ 1 to BC
. Then shall AQ be less than any other straight line AR drawn from A to BC . ( 1 .
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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
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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 |