Elementary Geometry ... |
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Σελίδα 1
... magnitudes of all kinds : the following is a list of the general axioms more frequently used . ( a ) The whole is greater than its part . ( b ) The whole is equal to the sum of its parts . ( c ) Things that are equal to the same thing ...
... magnitudes of all kinds : the following is a list of the general axioms more frequently used . ( a ) The whole is greater than its part . ( b ) The whole is equal to the sum of its parts . ( c ) Things that are equal to the same thing ...
Σελίδα 2
... magnitude . ( g ) If equals are taken from unequals the remainders are unequal , the greater remainder being that which is obtained from the greater magnitude . ( h ) The doubles and halves of equals are equal . A Theorem is the formal ...
... magnitude . ( g ) If equals are taken from unequals the remainders are unequal , the greater remainder being that which is obtained from the greater magnitude . ( h ) The doubles and halves of equals are equal . A Theorem is the formal ...
Σελίδα 6
... magnitude . In theorem 4 , for example , it is proved that AOD = COB ; that is , if AOD is accessible , and is measured ( by an instrument suitable for measuring angles ) , then it is not necessary to measure COB , for you have proved ...
... magnitude . In theorem 4 , for example , it is proved that AOD = COB ; that is , if AOD is accessible , and is measured ( by an instrument suitable for measuring angles ) , then it is not necessary to measure COB , for you have proved ...
Σελίδα 7
... magnitude . Def . 2. A line has position , and it has length , but has neither breadth nor thickness . The extremities of a line are points , and the intersection of two lines is a point . Def . 3. A surface has position , and it has ...
... magnitude . Def . 2. A line has position , and it has length , but has neither breadth nor thickness . The extremities of a line are points , and the intersection of two lines is a point . Def . 3. A surface has position , and it has ...
Σελίδα 11
... Magnitudes that can be made to coincide are equal . 2. Two straight lines that have two points in common lie wholly in the same straight line . 3. A finite straight line has one and only one point of bisection . 4. An angle has one and ...
... Magnitudes that can be made to coincide are equal . 2. Two straight lines that have two points in common lie wholly in the same straight line . 3. A finite straight line has one and only one point of bisection . 4. An angle has one and ...
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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.