Euclidian GeometryMacmillan, 1874 - 349 σελίδες |
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Σελίδα vi
... produced in either direction , but rather that of a figure whose opposite sides are equidistant . Again , Euclid's treatment of ratio and proportion is objected to as being only adapted to the grasp of the advanced geometrician ; one of ...
... produced in either direction , but rather that of a figure whose opposite sides are equidistant . Again , Euclid's treatment of ratio and proportion is objected to as being only adapted to the grasp of the advanced geometrician ; one of ...
Σελίδα 5
... produced , the angles on the other side of the base shall be equal . Let ABC be an isosceles △ , having the side AB = the side AC , then shall the ABC be = the A ACB ; also let the equal sides AB , AC be produced to G , H ; then shall ...
... produced , the angles on the other side of the base shall be equal . Let ABC be an isosceles △ , having the side AB = the side AC , then shall the ABC be = the A ACB ; also let the equal sides AB , AC be produced to G , H ; then shall ...
Σελίδα 14
... produced would fall along the former position of the other . Thus the arms of A would fall along the former positions of the arms of B ; .. the angles A , B are equal to one another . Similarly the angles H , K may be proved equal . COR ...
... produced would fall along the former position of the other . Thus the arms of A would fall along the former positions of the arms of B ; .. the angles A , B are equal to one another . Similarly the angles H , K may be proved equal . COR ...
Σελίδα 15
... producing one of its arms FE is formed by producing the other arm . = the adjacent FEL K L For they are opposite angles . - ... if an angle one of its adjacent angles it is also the other . ..if one straight line is to another , the ...
... producing one of its arms FE is formed by producing the other arm . = the adjacent FEL K L For they are opposite angles . - ... if an angle one of its adjacent angles it is also the other . ..if one straight line is to another , the ...
Σελίδα 18
... LS are together = 4 right L s . For produce CB to X. = ; two rights . Then all the 4S ABC , CBF , FBG , GB the 4s on one side of CBX together other side of CBX , and ar PROPOSITION X. If two straight lines , drawn from one. 18 RIGHT ANGLES ...
... LS are together = 4 right L s . For produce CB to X. = ; two rights . Then all the 4S ABC , CBF , FBG , GB the 4s on one side of CBX together other side of CBX , and ar PROPOSITION X. If two straight lines , drawn from one. 18 RIGHT ANGLES ...
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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
Δημοφιλή αποσπάσματα
Σελίδα 1 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Σελίδα 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.
Σελίδα 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.
Σελίδα 31 - HISTORICAL OUTLINES OF ENGLISH ACCIDENCE, comprising Chapters on the History and Development of the Language, and on Word-formation.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.