TABLE OF CONTENTS. PREFACE. Respecting the Gradations in Euclid's Plane Geometry, Skeleton INTRODUCTION. SECTION I. Gradual Growth of Geometry and of the Elements of Euclid SECTION II. Symbolical Notation and Abbreviations that may be used PAGES. iii. - viii, 1-5 5-7 SECTION III. Explanation of some Geometrical Terms.. 7-10 J0-20 SECTION V. Application of Arithmetic and Algebra to Geometry... 21-27 28-30 The Properties of Right-angled Parallelograms or Rectangles......... 149 Propositions i. — xiv. Remarks Synopsis of Book II.. PRACTICAL RESULTS. 150 150-185 185 186-190 I. Problems 5-16, for the Construction of Geometrical Figures 191-197 ....... 197–201 II. Problems in Books III., IV., and VI. most intimately connected with Books I. and II.: III. Principles of Construction : SECTION 1. For Geometrical Instruments to Measure Distances and Angles SECTION 2. For Geometrical Figures to exhibit representative IV. Principles for accurately calculating Distances, Magnitudes, 211-212 212-215 215 ......... Theorems in Book II. 1-6 SERIES 2° Propositions not fully proved, or not inserted in the Gradations : Problems. Book I. 1-13.. Theorems.-Book I. 1-15.. Problems.-Book II. 1-10.. Theorems.-Book II. 1-15.. 230 231 232 232 "Even the Sleeping Geometrician," says old RALPH CUDWORTH, p. 160, "hath at that time, all his Geometrical Theorems and Knowledges some way on him as also the Sleeping Musician, all his Musical Skill and Songs: and therefore why may it not be possible for the Soul to have likewise some Actual Energie on it, which it is not Expressly Conscious of ?" John Heywood, Printer, 141 and 143, Deansgate, Manchester. In Three Parts, 4to. at 6d. each Part. SKELETON PROPOSITIONS TO EUCLID, BOOKS I AND II. FOR PEN-AND-INK EXAMINATIONS. N.B.-The SKELETON PROPOSITIONS may be had either with or without References,stitched in a cover, or collected into a case in sheets. 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