## Euclidian Geometry |

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Side vii

At the latter part of the

subdivision of the circumference of a circle , thus preparing the way for a more

general consideration of the subject of regular polygons . In the Fourth Book the

areas ...

At the latter part of the

**Third**Book a section has been added on the equalsubdivision of the circumference of a circle , thus preparing the way for a more

general consideration of the subject of regular polygons . In the Fourth Book the

areas ...

Side 26

Any two sides of a triangle are together greater than the

Then shall any two of its sides , as AB , AC , be . together > BC . K Produce BA to

K , making AK = AC , and join KC . Then : : : AK is = AC ; . ' . LACK is = 1 AKC ; ( 1

.

Any two sides of a triangle are together greater than the

**third**. Let ABC be a 4 .Then shall any two of its sides , as AB , AC , be . together > BC . K Produce BA to

K , making AK = AC , and join KC . Then : : : AK is = AC ; . ' . LACK is = 1 AKC ; ( 1

.

Side 30

PROBLEM D . Describe a triangle having its sides equal to three given straight

lines , any two of which are together greater than the

, B , C be the three given straight lines , any two of them being together greater ...

PROBLEM D . Describe a triangle having its sides equal to three given straight

lines , any two of which are together greater than the

**third**. A . LE a . HTMK Let A, B , C be the three given straight lines , any two of them being together greater ...

Side 127

Then ACP , ACQ are equilateral as ; . . each of the 2s ACP , ACQ is = a

two right < s ; . Ls PCR , QCR are each = two thirds of two right as , and 2 PCQ =

two thirds of two right 2S ; is zs PCR , QCR , PCQ are = one another ; is the arcs

PR ...

Then ACP , ACQ are equilateral as ; . . each of the 2s ACP , ACQ is = a

**third**oftwo right < s ; . Ls PCR , QCR are each = two thirds of two right as , and 2 PCQ =

two thirds of two right 2S ; is zs PCR , QCR , PCQ are = one another ; is the arcs

PR ...

Side 128

Cut off GN = one -

HN in K . Then the Oce may be divided into fifteen parts each = HK . For of such

parts , as the Oce contains fifteen , GN contains five , and GH contains three .

Cut off GN = one -

**third**of the Oce , and GH = one - fifth of the Oce , bisect the arcHN in K . Then the Oce may be divided into fifteen parts each = HK . For of such

parts , as the Oce contains fifteen , GN contains five , and GH contains three .

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base bisect Cambridge centre chapter chord circle circumference 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 rect rectangle render respectively revised right angles Schools segment selected sides similar Similarly square 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 26 - 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 58 - 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 47 - 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 63 - 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 61 - 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 31 - ... 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.