CONTENTS
ix
SECTION VII
On Systems of Lenses and the Application of the Theorem of Elements to Thick Lenses | ||
FORMULA | PAGE | |
XII. | Simple Lens. Eadius of Curvature of Secondary Image when Primary Image is Flat | 155 |
XIIa. | Simple Lens. Curvature Error of the Anastigmatic Image | 156 |
XIII. | Condition necessary to the attainment of a Flat Anastigmatic Image | 156 |
XIIIa. | The Petzval Theorem | 157 |
XIV. | The Petzval Formula for the Reciprocal of the Eadius of Curvature of the Anastigmatic Image | 158 |
66 and 67. | Radii of Images formed by Central Oblique Refraction through Lens fulfilling Petzval Condition | 159 |
XV. | Compound Lens. Reciprocal of the Radius of Curvature of the Secondary Image when the Primary Image is Flat | 168 |
XVI. | Compound Lens. Reciprocal of the Radius of Curvature of either Secondary or Primary Image when Mean Image is Flat | 169 |
XVII. | E.F.L. of a Triplet Lens showing Increment to Power due to Separations | 169 |
XVIIIa. | Aberration and Curvature Error due to Oblique Refraction through a Parallel Plane Plate | 177 |
XVIII. (R.) | Do., expressed in terms of and | 177 |
XIX. (L.) | Linear Value of Curvature Error due to Oblique Refraction through a Parallel Plane Plate | 180 |
XX. | E.C. or Curvature Correction due to Eccentric Reflection from Spherical Mirror | 189 |
SECTION VIII
Coma and the Sine Condition—Von Seidel's Second Condition—Central Oblique Refaction | ||
I. | The Length of the Comatic Flare in Primary Plane | 195 |
II. | The Angular Value of the Coma in Primary Plane, as subtended at Lens Centre | 197 |
III. | The Angular Value of the Interval between Oblique Central Ray and the Focus for the Two Rays in Secondary Plane | 198 |
IV. | Linear Diameter of the Coma in the Secondary Plane | 200 |
V. | General Proof. Linear E.C. in the Secondary Plane | 213 |
VI. | General Proof. Linear E.C. in the Primary Plane | 214 |
VII. | Condition of Elimination of Coma from a Double Objective | 216 |