Elementary Geometry ... |
Dentro del libro
Resultados 1-5 de 46
Página 87
... segments . Obs . A straight line is equal to the sum or difference of its segments according as it is divided internally or externally . THEOREM 5 . The rectangle contained by two given lines is equal to the sum of the rectangles ...
... segments . Obs . A straight line is equal to the sum or difference of its segments according as it is divided internally or externally . THEOREM 5 . The rectangle contained by two given lines is equal to the sum of the rectangles ...
Página 89
... produced in M , H. Then MF is the square on AP ; and HP the square on BP ; and MP or HF , the rectangle contained by AP and BP . * Euclid , II . 7 . And AE is less than MF + HP by MP SECT . I. ] 89 SEGMENTS OF A STRAIGHT LINE .
... produced in M , H. Then MF is the square on AP ; and HP the square on BP ; and MP or HF , the rectangle contained by AP and BP . * Euclid , II . 7 . And AE is less than MF + HP by MP SECT . I. ] 89 SEGMENTS OF A STRAIGHT LINE .
Página 91
... segments is equal to the difference of the squares on half the line and the line between the points of section . A CP B · A C B P Proof . For let AB be bisected in C , and divided inter- nally or externally in P. Then AP is the sum of ...
... segments is equal to the difference of the squares on half the line and the line between the points of section . A CP B · A C B P Proof . For let AB be bisected in C , and divided inter- nally or externally in P. Then AP is the sum of ...
Página 96
... segments is double the sum of the squares on half the line and on the line between the point of division and the middle point of the line * . Let AB be bisected in C , and divided internally or ex- ternally in D. A D B A B Then the ...
... segments is double the sum of the squares on half the line and on the line between the point of division and the middle point of the line * . Let AB be bisected in C , and divided internally or ex- ternally in D. A D B A B Then the ...
Página 103
... segments such that the rectangle contained by the given line and one of the segments may be equal to the square on the other segment . Let AB be the given line . First , to SECT . II . ] 103 PROBLEMS .
... segments such that the rectangle contained by the given line and one of the segments may be equal to the square on the other segment . Let AB be the given line . First , to SECT . II . ] 103 PROBLEMS .
Otras ediciones - Ver todas
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.