Euclidian GeometryMacmillan, 1874 - 349 sider |
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Side 34
... falls along QB and AS along AR . A Ꭱ B Q R B Q Hence , if there are points in RS on one side of A nearer to BC than A is , so also are there corresponding points on the other side of A nearer to BC than A is ; which is impossible . And ...
... falls along QB and AS along AR . A Ꭱ B Q R B Q Hence , if there are points in RS on one side of A nearer to BC than A is , so also are there corresponding points on the other side of A nearer to BC than A is ; which is impossible . And ...
Side 37
... falling upon two other straight lines . makes the exterior angle equal to the interior and opposite upon the same side of the line , the two straight lines shall be parallel . E A F B C G H D Let the straight line EFGH , falling upon ...
... falling upon two other straight lines . makes the exterior angle equal to the interior and opposite upon the same side of the line , the two straight lines shall be parallel . E A F B C G H D Let the straight line EFGH , falling upon ...
Side 38
... fall upon two parallel straight lines , it makes the exterior L = the interior and opposite upon the same side . Let HK fall upon the two || straight lines AB , CD ; then shall the HFB be = LFGD . A F H For AFG is = the alternate LFGD ...
... fall upon two parallel straight lines , it makes the exterior L = the interior and opposite upon the same side . Let HK fall upon the two || straight lines AB , CD ; then shall the HFB be = LFGD . A F H For AFG is = the alternate LFGD ...
Side 39
Francis Cuthbertson. If a straight line fall upon two parallel straight lines , the two interior angles upon the same side shall together be equal to two right angles . That is , the S BFG , FGD shall be together = two right angles . For ...
Francis Cuthbertson. If a straight line fall upon two parallel straight lines , the two interior angles upon the same side shall together be equal to two right angles . That is , the S BFG , FGD shall be together = two right angles . For ...
Side 42
... falls upon them ; .. the exterior LHCK is the interior and opposite LABC ; ( I. 21 ) = = .. the whole ACK is the two angles ABC , BAC together . Now to each of these equals add the ACB ; = .. the two angles ACK , ACB are together the ...
... falls upon them ; .. the exterior LHCK is the interior and opposite LABC ; ( I. 21 ) = = .. the whole ACK is the two angles ABC , BAC together . Now to each of these equals add the ACB ; = .. the two angles ACK , ACB are together the ...
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Algebra Arithmetic base BEGINNERS Cambridge centre chord Christ's College circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle John's College Latin Let ABC line bisecting locus magnitudes Mathematical meet Owens College parallel parallelogram perimeter perpendicular plane PROBLEM produced Professor proportional PROPOSITION radius ratio rect rectangle rectangle contained rectilineal figure regular polygon render respectively revised rhombus right angles Schools Second Edition segment Similarly squares on AC straight line joining student tangent THEOREM TRIGONOMETRY twice rectangle twice the squares Uppingham School vertex
Populære avsnitt
Side 1 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Side 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.
Side 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.
Side 31 - 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 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.
Side 45 - 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 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.