Euclidian Geometry |
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Side 56
The complements of the parallelograms , which are about the diameter of any
parallelogram , are equal to one another . Let FGHK be a . D . , and GK one of its
diagonals , and SR , PN os about the diagonal . Then FQ , QH , the remaining s ...
The complements of the parallelograms , which are about the diameter of any
parallelogram , are equal to one another . Let FGHK be a . D . , and GK one of its
diagonals , and SR , PN os about the diagonal . Then FQ , QH , the remaining s ...
Side 100
A chord of a circle which passes through the centre is called a diameter .
PROPOSITION V . The diameter is the greatest chord of a circle , and of all others
that nearer to the centre is greater than the more remote . Ppan Let ACB be a
diameter ...
A chord of a circle which passes through the centre is called a diameter .
PROPOSITION V . The diameter is the greatest chord of a circle , and of all others
that nearer to the centre is greater than the more remote . Ppan Let ACB be a
diameter ...
Side 118
Let APB be a o of which C is the centre , ACB a diameter , and AP a chord
dividing the O APB into the segments ABP , AQP . Then shall the _ in the
semicircle APB be a right 2 ; the in the segment ABP greater than a semicircle < a
right % ; and ...
Let APB be a o of which C is the centre , ACB a diameter , and AP a chord
dividing the O APB into the segments ABP , AQP . Then shall the _ in the
semicircle APB be a right 2 ; the in the segment ABP greater than a semicircle < a
right % ; and ...
Side 119
Let ST touch the O QDF in the point A : and from A let AF be drawn cutting the o :
Then shall the FAT = LAQF in the alternatesegment AQF . Also the FAS shall be =
L in the s - T segment FRA . Through A draw the diameter AD ; join DF .
Let ST touch the O QDF in the point A : and from A let AF be drawn cutting the o :
Then shall the FAT = LAQF in the alternatesegment AQF . Also the FAS shall be =
L in the s - T segment FRA . Through A draw the diameter AD ; join DF .
Side 126
Through the centre C of o AFG draw any diameter AB . Then AB shall bisect the
Oce . For the o may be taken up , inverted and applied to its former position , so
that AB may fall upon its former position . Then will AGB fall upon AFB ; . . arc
AGB ...
Through the centre C of o AFG draw any diameter AB . Then AB shall bisect the
Oce . For the o may be taken up , inverted and applied to its former position , so
that AB may fall upon its former position . Then will AGB fall upon AFB ; . . arc
AGB ...
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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.
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 |