## Euclidian Geometry |

### From inside the book

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**Tangents**. 16 , 18 , 19 ...... 6 B 17 C Parallels . Lemma 20 ... 21 ..31 n Р 27 , 28 9 ........ 22 ( 29 ) ( 30 ) r 23 .33 I. 22 24 .32 I. 25 25 ( 269 ) m ......... II . 9 , 10 Contact of Os . 2 7 5 , 6 .... 7 8 .. IO . Page 103

... which is impossible ; ( 1.13 ) .. SAT does not cut the O. Similarly it may be shewn that it has no other point be- sides A in common with the circumference . Moreover , besides SAT no other straight line can be

... which is impossible ; ( 1.13 ) .. SAT does not cut the O. Similarly it may be shewn that it has no other point be- sides A in common with the circumference . Moreover , besides SAT no other straight line can be

**TANGENTS**. Page 104

... through A so as not to cut the . DEFINITION . A straight line which meets a circle and which , if produced , will not cut it , is said to touch the circle . Conversely : If a straight line touch a circle the 104

... through A so as not to cut the . DEFINITION . A straight line which meets a circle and which , if produced , will not cut it , is said to touch the circle . Conversely : If a straight line touch a circle the 104

**TANGENTS**. I ... Page 105

... the point of contact shall pass through the centre . For from the point of contact only one straight line can be drawn to the

... the point of contact shall pass through the centre . For from the point of contact only one straight line can be drawn to the

**tangent**, and that through the centre is L to it . PROBLEM B. Draw a**tangent**to a circle from a**TANGENTS**. 105. Page 106

Francis Cuthbertson. PROBLEM B. Draw a

Francis Cuthbertson. PROBLEM B. Draw a

**tangent**to a circle from a given point . R Q If the given point is on the circumference , then the straight line drawn to the radius through that point will be a**tangent**. If the given point is ...### Other editions - View all

### Common terms and phrases

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

### Popular passages

Page 1 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.

Page 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.

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Page 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.

Page 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.

Page 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.

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Page 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...

Page 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.