## Euclidian Geometry |

### Inni boken

Side vii

It has been deemed essential that Problems , though kept distinct from Theorems

, should nevertheless occupy the attention of the beginner as soon as

and also that the necessity of his having to wade through a long book of ...

It has been deemed essential that Problems , though kept distinct from Theorems

, should nevertheless occupy the attention of the beginner as soon as

**possible**,and also that the necessity of his having to wade through a long book of ...

Side viii

The principle of superposition has been made use of whenever

affording the most convincing proof of equality of geometrical magnitudes . With a

view to facilitating the student ' s progress it has been arranged that , as a rule ...

The principle of superposition has been made use of whenever

**possible**, asaffording the most convincing proof of equality of geometrical magnitudes . With a

view to facilitating the student ' s progress it has been arranged that , as a rule ...

Side xvi

For definitions , see p . 86 . 107 , , 6 , for divides read divide . , 129 , , 1 , add if

the diagonal of 0 FB is AC . same xvi.

For definitions , see p . 86 . 107 , , 6 , for divides read divide . , 129 , , 1 , add if

**possible**, let them bisect each other ; , 131 , , 13 , omit to it . » 201 . In the diagramthe diagonal of 0 FB is AC . same xvi.

Side 3

For if not , if

point 0 , P Then AOB might be turned about one extremity A towards the side on

which OQ is , so as to cut OQ and also OP . Thus two straight lines would enclose

a ...

For if not , if

**possible**let them fall otherwise as AOB , POQ having a commonpoint 0 , P Then AOB might be turned about one extremity A towards the side on

which OQ is , so as to cut OQ and also OP . Thus two straight lines would enclose

a ...

Side 15

... an angle = one of its adjacent angles it is also = the other , . . if one straight line

is 1 to another , the latter is 1 to the former . Thus each of the arms of a right 2 is 1

to the other . PROPOSITION VII . It is always

... an angle = one of its adjacent angles it is also = the other , . . if one straight line

is 1 to another , the latter is 1 to the former . Thus each of the arms of a right 2 is 1

to the other . PROPOSITION VII . It is always

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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

### 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.