Elementary Geometry ... |
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Σελίδα 70
... , there will be only one solution . The cases of the given angle being a right angle or an obtuse angle are left to the ingenuity of the student . SECTION V. Loci . WHEN a point has to be 70 [ BOOK I. ELEMENTARY GEOMETRY .
... , there will be only one solution . The cases of the given angle being a right angle or an obtuse angle are left to the ingenuity of the student . SECTION V. Loci . WHEN a point has to be 70 [ BOOK I. ELEMENTARY GEOMETRY .
Σελίδα 71
... locus of the point under the given condition . Hence we get the following definition of a locus : Def . If any and every point on a line or group of lines ( straight or curved ) , and no other point , satisfies an assigned condition ...
... locus of the point under the given condition . Hence we get the following definition of a locus : Def . If any and every point on a line or group of lines ( straight or curved ) , and no other point , satisfies an assigned condition ...
Σελίδα 72
... loci are important . i . The locus of a point at a given distance from a given point is the circumference of a circle having a radius equal to the given distance and having its centre at the given point . ii . The locus of a point at a ...
... loci are important . i . The locus of a point at a given distance from a given point is the circumference of a circle having a radius equal to the given distance and having its centre at the given point . ii . The locus of a point at a ...
Σελίδα 73
... locus of points equi- distant from A and B. iv . The locus of a point equidistant from two intersecting straight lines is the pair of lines , at right angles to one another , which bisect the angles made by the given lines . Let AB , DC ...
... locus of points equi- distant from A and B. iv . The locus of a point equidistant from two intersecting straight lines is the pair of lines , at right angles to one another , which bisect the angles made by the given lines . Let AB , DC ...
Σελίδα 74
... locus of points equally distant from two straight lines which intersect , is the bisectors of the angles between the ... locus . EXERCISES . Find the following loci : - ( 1 ) Of a point at a given distance from a given point . ( 2 ) Of a ...
... locus of points equally distant from two straight lines which intersect , is the bisectors of the angles between the ... locus . EXERCISES . Find the following loci : - ( 1 ) Of a point at a given distance from a given point . ( 2 ) Of a ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.