Euclidian GeometryMacmillan, 1874 - 349 sider |
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Side vi
... similar rectilineal figures by contemplating their homologous sides and then calculating their duplicate ratio . In order to make the Second Book , which treats of the relations existing between the rectangles under the segments of a ...
... similar rectilineal figures by contemplating their homologous sides and then calculating their duplicate ratio . In order to make the Second Book , which treats of the relations existing between the rectangles under the segments of a ...
Side 55
... similar proof it may be shewn that equal triangles upon equal bases in the same straight line and on the same side of that line are between the same parallels . PROPOSITION XXXIV . The complements of the parallelograms , which AREAS . 55.
... similar proof it may be shewn that equal triangles upon equal bases in the same straight line and on the same side of that line are between the same parallels . PROPOSITION XXXIV . The complements of the parallelograms , which AREAS . 55.
Side 72
... similar manner to the above or deduced from it , thus : H D Produce DA and make AX = HD . Then XC CD . = = ... squares on XH , HD twice the squares on XC , CH , i.e. squares on AD , HD = twice the squares on DC , CA. THEOREM ( 2 ) . The ...
... similar manner to the above or deduced from it , thus : H D Produce DA and make AX = HD . Then XC CD . = = ... squares on XH , HD twice the squares on XC , CH , i.e. squares on AD , HD = twice the squares on DC , CA. THEOREM ( 2 ) . The ...
Side 139
... will continually diminish , and ultimately vanish . Hence the 4 XA Tand the 4 in the segment ACX are together equal to two right angles . DEFINITION . Similar segments are those which contain equal angles SUPPLEMENT TO BOOK III . 139.
... will continually diminish , and ultimately vanish . Hence the 4 XA Tand the 4 in the segment ACX are together equal to two right angles . DEFINITION . Similar segments are those which contain equal angles SUPPLEMENT TO BOOK III . 139.
Side 140
Francis Cuthbertson. DEFINITION . Similar segments are those which contain equal angles . THEOREM ( h ) . Similar segments of circles having equal chords are equal in all respects . A Р B C R Let APB , CQD be similar segments of circles ...
Francis Cuthbertson. DEFINITION . Similar segments are those which contain equal angles . THEOREM ( h ) . Similar segments of circles having equal chords are equal in all respects . A Р B C R Let APB , CQD be similar segments of circles ...
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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.
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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.