Page:Harold Dennis Taylor - A System of Applied Optics.djvu/10

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A SYSTEM OF APPLIED OPTICS
FORMULA PAGE
IXc. Back Focal Length of a Thick Lens or Pair of Elements, equivalent to Formula Va 26
X. Equivalent Focal Length of a Thick Lens or Pair of Elements, equivalent to VI. and VII. 27
XIa. Three Separated Thin Lenses or Elements. Position of First Principal Point 33
XIb. Three Separated Thin Lenses. Position of Second Principal Point 34
XII. Three Separated Thin Lenses. Equivalent Focal Length 34
XIII. Four Separated Thin Lenses or Elements. Equivalent Focal Length 34
XIVa. Four Separated Thin Lenses or Elements. Position of First Principal Point 35
XIVb. Four Separated Thin Lenses or Elements. Position of Second Principal Point 35
XV. Five Separated Thin Lenses. Equivalent Focal Length 36
XVa. Five Separated Thin Lenses. Position of First Principal Point 36
XVb. Five Separated Thin Lenses. Position of Second Principal Point 37
XVI. Six Separated Thin Lenses or Elements. Equivalent Focal Length 37
XVIa. Six Separated Thin Lenses or Elements. Position of First Principal Point 37
XVIb. Six Separated Thin Lenses or Elements. Position of Second Principal Point 37
XVII. Eight Separated Thin Lenses or Elements. Equivalent Focal Length 38
XVIIa. Eight Separated Thin Lenses or Elements. Position of First Principal Point 38
XVIIb. Eight Separated Thin Lenses or Elements. Position of Second Principal Point 38
SECTION IV

Spherical Aberration. Complete Formulæ of the Second and of the Third Orders of Approximation

XVIII. (R.) Direct Refraction at Single Surface Spherical Aberration 55
XVIII. (L.) Linear Value of above Aberration 55
XIX. (R.) Spherical Aberration of a Thin Lens or Element 56
XIX. (L.) Linear Value of above Aberration 57
XX. (R.) Refraction at a Single Surface Aberration to the Third Approximation 63
XXI. (R.) Thin Lens or Element. Spherical Aberration of the Second and of the Third Orders of Approximation 64
XXII. (R.) 65