Euclidian Geometry |
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Page 56
... diameter of any parallelogram , are equal to one another . S F N G R H Let FGHK be a , and GK one of its diagonals , and SR , PN □ s about the diagonal . Then FQ , QH , the remainings , which are called complements , shall be equal to ...
... diameter of any parallelogram , are equal to one another . S F N G R H Let FGHK be a , and GK one of its diagonals , and SR , PN □ s about the diagonal . Then FQ , QH , the remainings , which are called complements , shall be equal to ...
Page 100
... 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 . G B F H Let ACB be a diameter of the AGB , HK , FG chords of which HK is nearer to ...
... 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 . G B F H Let ACB be a diameter of the AGB , HK , FG chords of which HK is nearer to ...
Page 118
... diameter , chord dividing the of which C and AP a APB into B the segments ABP , AQP . Then shall the in the semi- circle APB be a right ; the in the segment ABP greater than a semicircle < a right ≤ ; and the in the segment AQP less ...
... diameter , chord dividing the of which C and AP a APB into B the segments ABP , AQP . Then shall the in the semi- circle APB be a right ; the in the segment ABP greater than a semicircle < a right ≤ ; and the in the segment AQP less ...
Page 119
... diameter AD ; join DF . Then 4 AFD is a right angle ; .. LS FDA , FAD are together a right ; = ( III . 16 ) and .. DAT ; ( III . 2 ) = i.e. S FAT , FAD together . Take away the common 2 FAD . .. LFDA = L FAT ; = but AQF L FDA ; .. L FAT ...
... diameter AD ; join DF . Then 4 AFD is a right angle ; .. LS FDA , FAD are together a right ; = ( III . 16 ) and .. DAT ; ( III . 2 ) = i.e. S FAT , FAD together . Take away the common 2 FAD . .. LFDA = L FAT ; = but AQF L FDA ; .. L FAT ...
Page 126
... diameter AB . Then AB shall bisect the Oce . For the may be taken up , inverted and applied to its former position , so that AB may fall upon its former position . F Then will AGB fall upon AFB ; ... arc AGB : = arc AFB . COR . To ...
... diameter AB . Then AB shall bisect the Oce . For the may be taken up , inverted and applied to its former position , so that AB may fall upon its former position . F Then will AGB fall upon AFB ; ... arc AGB : = arc AFB . COR . To ...
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Common terms and phrases
base bisect Cambridge centre chapter chord circle circumference classes 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 reading rect rectangle render respectively revised right angles Schools Second Edition segment selected sides similar Similarly square student taken tangent THEOREM third touch TREATISE triangle twice University volume whole
Popular passages
Page 1 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Page 10 - 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.
Page 42 - 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.
Page 31 - HISTORICAL OUTLINES OF ENGLISH ACCIDENCE, comprising Chapters on the History and Development of the Language, and on Word-formation.
Page 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.
Page 47 - 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.
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Page 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.
Page 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...
Page 15 - ... 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.
Bibliographic information
| Title | Euclidian Geometry |
| Author | Francis Cuthbertson |
| Publisher | Macmillan, 1874 |
| Original from | Oxford University |
| Digitized | 8 Sep 2006 |
| Length | 349 pages |
| Export Citation | BiBTeX EndNote RefMan |