## Euclidian Geometry |

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Side 2

The size of an angle does not depend on the length of its arms but on their

direction , and is said to be greater or less according as the

of its arms is greater or less . . . It is evident that Two straight lines - cannot

enclose a ...

The size of an angle does not depend on the length of its arms but on their

direction , and is said to be greater or less according as the

**difference**of directionof its arms is greater or less . . . It is evident that Two straight lines - cannot

enclose a ...

Side 84

S is > the squares on A and B by twice the rectangle A , B . Also , if A and B be

unequal and D be their

the squares on A , B ; and the square on D is < the squares on A and B by twice ...

S is > the squares on A and B by twice the rectangle A , B . Also , if A and B be

unequal and D be their

**difference**, the rectangle S , D is = the**difference**betweenthe squares on A , B ; and the square on D is < the squares on A and B by twice ...

Side 87

Then shall the square on AB be < the squares on AC , CB by twice the rectangle

AC , CK . For should the I fall within or without the A ABC , in either case AK is =

the

is ...

Then shall the square on AB be < the squares on AC , CB by twice the rectangle

AC , CK . For should the I fall within or without the A ABC , in either case AK is =

the

**difference**between AC and CK . . . . square on AK + twice rectangle AC , CKis ...

Side 88

Then : : FG is = the sum and GM = the

, GM is = the

...

Then : : FG is = the sum and GM = the

**difference**of PM and PG ; . . . rectangle FG, GM is = the

**difference**of the squares on PM and PG , ( 11 . 2 ) and is . : . = the**difference**of the squares on PQ and PG , and is . . = the square on GQ , but FH is...

Side 89

Then shall PQ be divided in C , so that rectangle PQ , QC = square on PC . Si 11

Produce FC to H . Now : : : SG is = the sum and GP = the

, . . rectangle SG , GP is = the

Then shall PQ be divided in C , so that rectangle PQ , QC = square on PC . Si 11

Produce FC to H . Now : : : SG is = the sum and GP = the

**difference**of KG and KP, . . rectangle SG , GP is = the

**difference**of the squares on KG and KP , ( 11 .### Hva folk mener - Skriv en omtale

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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.