Elementary Geometry ... |
From inside the book
Results 1-5 of 85
Page 5
... draw certain lines , or to conceive them as drawn . This is called the construction . REMARKS . A beginner often asks ' What is the use of Geometry ? ' The following remarks may perhaps help to shew him part at least of the use of it ...
... draw certain lines , or to conceive them as drawn . This is called the construction . REMARKS . A beginner often asks ' What is the use of Geometry ? ' The following remarks may perhaps help to shew him part at least of the use of it ...
Page 8
... drawn through the centre and terminated both ways by the circum- ference . Def . II . When two straight lines are drawn from the same point , they are said to contain , or to make with each other , a plane angle . The point is called ...
... drawn through the centre and terminated both ways by the circum- ference . Def . II . When two straight lines are drawn from the same point , they are said to contain , or to make with each other , a plane angle . The point is called ...
Page 40
... drawn from a given point to a given straight line . 7. Prove fully the corollary to Theorem 19 . 8. Enumerate the five cases in which the equality of three parts in a pair of ... draw the figures , in 40 [ Book I. ELEMENTARY GEOMETRY .
... drawn from a given point to a given straight line . 7. Prove fully the corollary to Theorem 19 . 8. Enumerate the five cases in which the equality of three parts in a pair of ... draw the figures , in 40 [ Book I. ELEMENTARY GEOMETRY .
Page 41
James Maurice Wilson. 9. Mention cases , and draw the figures , in which two triangles are equal in three respects but not in all . IO . Prove fully the corollaries to Theorem 20 . II . Prove Theorem 19 by conceiving the figure to be ...
James Maurice Wilson. 9. Mention cases , and draw the figures , in which two triangles are equal in three respects but not in all . IO . Prove fully the corollaries to Theorem 20 . II . Prove Theorem 19 by conceiving the figure to be ...
Page 54
... . Then shall ab be equal to cd . Proof . Through A , C draw AE , CF parallel to abcd , meeting Bb , Dd in E , F. * Euclid , I. 33 . Then because BA , AE , BE are respectively parallel 54 [ BOOK I. ELEMENTARY GEOMETRY .
... . Then shall ab be equal to cd . Proof . Through A , C draw AE , CF parallel to abcd , meeting Bb , Dd in E , F. * Euclid , I. 33 . Then because BA , AE , BE are respectively parallel 54 [ BOOK I. ELEMENTARY GEOMETRY .
Other editions - View all
Common terms and phrases
AB² ABCD alternate angles angle ABC angle APB angle BAC angles are equal angles equal bisector centre chord circumference coincide College Constr construct contrapositive Crown 8vo describe a circle diagonals diameter divided draw Edition equal angles equal circles equiangular Euclid exterior angle fcap Find the locus four right angles Geometry given angle given circle given line given point given rectilineal figure given straight line hypotenuse included angle inscribed intersect isosceles triangle less Let AB Let ABC locus magnitudes meet middle point minor arc opposite angles opposite sides parallel parallelogram perpendicular polygon PROBLEM produced Proof Q. E. D. THEOREM quadrilateral radius rectangle contained reflex angle required to prove rhombus right angles segment semicircle Shew square subtend supplementary supplementary angles tangent THEOREM trapezium triangle ABC triangles are equal unequal
Popular passages
Page 185 - MORTE D'ARTHUR. Sir Thomas Malory's Book of King Arthur, and of his Noble Knights of the Round Table. The Edition of Caxton, revised for Modern Use. With an Introduction, Notes, and Glossary, by Sir EDWARD STRACHEY. *' It is with perfect confidence that we recommend this edition of the old romance to every class of readers.
Page 173 - TAYLOR— WORDS AND PLACES; or, Etymological Illustrations of History, Ethnology, and Geography. By the Rev ISAAC TAYLOR, MA Third and cheaper Edition, revised and compressed. With Maps. Globe 8vo. 6s.
Page 172 - Book VI. is fitted for higher Classes, and as an Introduction to English Literature. "They are far above any others that have appeared both in form and substance. . . . The editor of the present series has rightly seen that reading books must ' aim chiefly at giving to the pupils the power of accurate, and, if possible, apt and skilful expression ; at cultivating in them ^a good literary taste, and at arousing a desire of further reading.
Page 143 - ROBY— A GRAMMAR OF THE LATIN LANGUAGE, from Plautus to Suetonius. By HJ ROBY, MA, late Fellow of St. John's College, Cambridge. In Two Parts. Third Edition. Part I. containing : — Book I. Sounds. Book II. Inflexions. Book III. Word-formation. Appendices. Crown 8vo.
Page 161 - Flower (WH) — AN INTRODUCTION TO THE OSTEOLOGY OF THE MAMMALIA. Being the Substance of the Course of Lectures delivered at the Royal College of Surgeons of England in 1870.
Page 183 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Page 173 - Sonnenschein and Meiklejohn. — THE ENGLISH METHOD OF TEACHING TO READ. By A. SONNENSCHEIN and JMD MEIKLEJOHN, MA Fcap. 8vo. COMPRISING : THE NURSERY BOOK, containing all the Two-Letter Words in the Language, id. (Also in Large Type on Sheets for School Walls. 5*.) THE FIRST COURSE, consisting of Short Vowels with Single Consonants.
Page 145 - MATHEMATICS. AIRY — Works by Sir GB AIRY, KCB, Astronomer Royal : — ELEMENTARY TREATISE ON PARTIAL DIFFERENTIAL EQUATIONS. Designed for the Use of Students in the Universities. With Diagrams.
Page 148 - CHRISTIE— A COLLECTION OF ELEMENTARY TESTQUESTIONS IN PURE AND MIXED MATHEMATICS; with Answers and Appendices on Synthetic Division, and on the Solution of Numerical Equations by Homer's Method. By JAMES R. CHRISTIE, FRS, Royal Military Academy, Woolwich. Crown 8vo. 8s. 6d. CLIFFORD— THE ELEMENTS OF DYNAMIC.
Page 150 - GODFRAY — Works by HUGH GODFRAY, MA, Mathematical Lecturer at Pembroke College, Cambridge. A TREATISE ON ASTRONOMY, for the Use of Colleges and Schools. New Edition.