Euclidian GeometryMacmillan, 1874 - 349 sider |
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Side 107
... tangent to the at some point S in the circum- ference between Q and R cutting the path in Tand V. Then TV is the ... TANGENTS . 107.
... tangent to the at some point S in the circum- ference between Q and R cutting the path in Tand V. Then TV is the ... TANGENTS . 107.
Side 119
... tangent shall be equal to the angles in the alternate segments of the circle . Let ST touch the OQDF in the point A : and from A let AF be drawn cutting the : Then shall the FATLAQF in the alternate segment AQF Also the L FAS = in the ...
... tangent shall be equal to the angles in the alternate segments of the circle . Let ST touch the OQDF in the point A : and from A let AF be drawn cutting the : Then shall the FATLAQF in the alternate segment AQF Also the L FAS = in the ...
Side 120
... tangents at F , G will coincide with the tan- gents at H , K. COR . 2. In equal circles equal chords cut off equal arcs . For FG being = HK , and also PF = QH and PG = QK , it follows that FPG .. arc FMG = arc HNK . = L HQK ; ( 1.5 ) ...
... tangents at F , G will coincide with the tan- gents at H , K. COR . 2. In equal circles equal chords cut off equal arcs . For FG being = HK , and also PF = QH and PG = QK , it follows that FPG .. arc FMG = arc HNK . = L HQK ; ( 1.5 ) ...
Side 124
... tangent AT to the © , and at A in ATmake △ TAB = LQ . Then shall AZB be the segment required . For in segment AZB = △ BAT , and . ' . = 4 Q. ( III . 17 ) ON THE SUBDIVISION OF THE CIRCUMFERENCE OF A CIRCLE . 124 ANGLES IN CIRCLES .
... tangent AT to the © , and at A in ATmake △ TAB = LQ . Then shall AZB be the segment required . For in segment AZB = △ BAT , and . ' . = 4 Q. ( III . 17 ) ON THE SUBDIVISION OF THE CIRCUMFERENCE OF A CIRCLE . 124 ANGLES IN CIRCLES .
Side 131
... will meet in one point only . If the distance be < the sum and > the difference the OS will meet in two points . PROBLEM ( c ) . Draw a common tangent to 9-2 SUPPLEMENT TO BOOK III . 131 COR. I. If the given point be not on ...
... will meet in one point only . If the distance be < the sum and > the difference the OS will meet in two points . PROBLEM ( c ) . Draw a common tangent to 9-2 SUPPLEMENT TO BOOK III . 131 COR. I. If the given point be not on ...
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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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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.