Euclidian Geometry |
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Page x
... 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 .
... 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 TANGENTS .
... 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 TANGENTS . I ...
... 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 tangent , and that through the centre is L to it . PROBLEM B. Draw a tangent to a circle from a TANGENTS . 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 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 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 ...
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 ...
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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
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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...
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