CONTENTS. Page 111 ... ..c ... ... ... FROM PREFACE TO FIRST EDITION V SECTION I., PROPOSITIONS 1–6.–First Case of Equality of Two Triangles, with Accessory Problems SECTION II., PROPs. 7—12.-Second Case of Equality of Two SECTION III., ProPs. 13—17.-Angles which Two Intersecting Straight Lines make with one another and with a Third 52 Section IV., Props. 18—25.—Inequalities of Parts of Triangles, SECTION V., Prop. 26.—Third and Fourth Cases of Equality of Two SECTION VI., PROPS. 27–31.-Parallelism SECTION VII., PROP. 32, AND COROLLARIES.-Interior and Exterior SECTION VIII., Props. 33, 34.–Parts of a Parallelogram... SECTION IX., PROPS. 35—42.- Parallelism in relation to Equivalent SECTION X., PROPS. 43–-45.—Complementary Parallelograms and the Reduction of Rectilineal Figures to Parallelograms of SECTION XI., PROPS. 46–48.-Squares and the Sides of the Right- EXAMINATION PAPERS FOR REVISION THE GEOMETRY OF TEN RECENT GOVERNMENT SCIENCE PAPERS APPENDIX-ALTERNATIVE DEMONSTRATIONS DIAGRAMS I.-IV.... 149 ... ... ... ... PREFACE TO SECOND EDITION. The principles of this little work have met with much approbation from teachers and authorities of high standing. In the preparation of a new edition, therefore, a great effort has been made to carry out those principles fully, while providing for as small an expenditure of time and labour on the part of both pupil and teacher as will be effective. The book is now stereotyped, and hence teachers may use it with the assurance that it will meet with little or no alteration in future. In reference to the changes which have been made, it may be noted that the extracts from the London University Matriculation papers have apparently disappeared. All the problems in them, however, which were new or otherwise important, have been absorbed into the “Papers for Revision.” Room was made for them by omitting some less useful questions, and by adding one new paper. In place of the portions of Matriculation papers referred to, those of the Science and Art Department have been brought up to date, and now form a most useful series of ten. In the body of the work, questions formerly occurred here and there which were found to be more or less vague, and therefore to invite guessing answers. Some of these have been amended, and others removed. Other questions, again, involved repetition carried somewhat to excess, and for that reason have been considered unnecessary. first Lessons in 1 OR, PENCILLED COPIES For the use of Schools and Fami for the Dra BY GEORGE Principal Drawing Master in the St: CONI Combinations, &c. No. 6. Introduction to Perspective. The Series embraces a complete course priate and carefully graduated Copies, ad difficult outline, printed in pencil-colour tated. The Exercises have been so simp! of attainment as that of Writing. As so “ The B translation, In fine make better will be need useful men c choly and re in the presei “ The Han “The Han instruction to the Authc translations sis, and it is learner. Phædrus Eutropicas Cornelius Cicero in Selectæ è o E Or sepa Epitome Di Aurelius Vi Latin Verbs Medical Stu Gregory's C Or se pa |
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