Elementary Geometry ... |
Inni boken
Resultat 6-10 av 49
Side 124
... chord AB would be unequal to the chord CD . But it is not ; for the chords are equal . Therefore the minor arcs AB , CD are also equal . ( III . 4. ) ( Hyp . ) Again , let the chord AB be greater than the chord CD ; K 20 B it is ...
... chord AB would be unequal to the chord CD . But it is not ; for the chords are equal . Therefore the minor arcs AB , CD are also equal . ( III . 4. ) ( Hyp . ) Again , let the chord AB be greater than the chord CD ; K 20 B it is ...
Side 125
... chord is perpendicular to the chord . Part . En . Let the straight line OC be drawn from the centre O of a circle to the middle point C of a chord AB ; it is required to prove that OC is perpendicular to AB . Proof . Join OA , OB . Then ...
... chord is perpendicular to the chord . Part . En . Let the straight line OC be drawn from the centre O of a circle to the middle point C of a chord AB ; it is required to prove that OC is perpendicular to AB . Proof . Join OA , OB . Then ...
Side 126
... chord AB ; it is required to prove that OC bisects AB . · Proof . Because in the right - angled triangles ACO , BCO ... chord of a circle through its middle point passes through the centre of the circle * . Part . En . Let AB be a chord ...
... chord AB ; it is required to prove that OC bisects AB . · Proof . Because in the right - angled triangles ACO , BCO ... chord of a circle through its middle point passes through the centre of the circle * . Part . En . Let AB be a chord ...
Side 127
... chord , and but one perpendicular to it ; and inasmuch as by Theorem 7 , the one that is perpendicular to the chord is also the one that bisects it , it follows by the Rule of Identity that the one that bisects it is also the one that ...
... chord , and but one perpendicular to it ; and inasmuch as by Theorem 7 , the one that is perpendicular to the chord is also the one that bisects it , it follows by the Rule of Identity that the one that bisects it is also the one that ...
Side 128
... chord of a circle lies wholly within the circle . Obs . Hence a circle is everywhere concave to its centre . For the test of the concavity of an arc of a curve to a given point is that , if any two points in the arc be taken , the chord ...
... chord of a circle lies wholly within the circle . Obs . Hence a circle is everywhere concave to its centre . For the test of the concavity of an arc of a curve to a given point is that , if any two points in the arc be taken , the chord ...
Andre utgaver - Vis alle
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.