Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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... contains all that is usually read of the first six books of Euclid , with consider- able additions . It has been designed as a sufficient introduc- tion to Trigonometry , Conic Sections , and applied Mathe- matics . It is not intended ...
... contains all that is usually read of the first six books of Euclid , with consider- able additions . It has been designed as a sufficient introduc- tion to Trigonometry , Conic Sections , and applied Mathe- matics . It is not intended ...
Σελίδα 29
... contained by one line called the circumference , and is such that all lines drawn from a point within it to the circumference are equal . This point is called the centre of the circle . 1. To draw a straight line bisecting a given ...
... contained by one line called the circumference , and is such that all lines drawn from a point within it to the circumference are equal . This point is called the centre of the circle . 1. To draw a straight line bisecting a given ...
Σελίδα 34
... contain the angle CBA , but its supplement . We have supposed CBA acute ; discuss the construction when CBA is obtuse . 7. ( 3 ) To construct a triangle , having given two sides and the included angle . 4. To construct a triangle ...
... contain the angle CBA , but its supplement . We have supposed CBA acute ; discuss the construction when CBA is obtuse . 7. ( 3 ) To construct a triangle , having given two sides and the included angle . 4. To construct a triangle ...
Σελίδα 36
... contained by the arc and chord is called a segment . It will be seen that every chord divides the circumference into two arcs ACB , ADB ; and the circle into two segments denoted by the same letters . THEOREM I. The diameter EOC , drawn ...
... contained by the arc and chord is called a segment . It will be seen that every chord divides the circumference into two arcs ACB , ADB ; and the circle into two segments denoted by the same letters . THEOREM I. The diameter EOC , drawn ...
Σελίδα 48
... containing ACB , pass through O. Then Therefore and OC = OB . B = C , B + C = 2C . But the exterior angle AOB = B + C. Therefore АОВ = 2АСВ . Secondly , let neither AC nor BC pass through O. Join CO and produce it to D. and or Then DOB ...
... containing ACB , pass through O. Then Therefore and OC = OB . B = C , B + C = 2C . But the exterior angle AOB = B + C. Therefore АОВ = 2АСВ . Secondly , let neither AC nor BC pass through O. Join CO and produce it to D. and or Then DOB ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
Algebra alternate angle altitude ARITHMETIC base BC² BEGINNERS bisect BROOKE FOSS WESTCOTT Cambridge centre chord Christ's College circle touching circumference Clifton College cloth coincide congruent CONIC SECTIONS construct contains convex angle Crown 8vo describe a circle diagonals diameter dicular distance divide Edward Thring ELEMENTARY TREATISE equal angles equally distant equiangular equilateral triangle Examination Papers Exercises exterior angle Fcap Fellow of St GEOMETRY given circle given line given point given square given straight line greater Greek Text Head Master Hence inscribe intersect John's College Join JOSEPH WOLSTENHOLME Jugurtha late Fellow Latin Let ABCD line drawn locus Mathematical Lecturer measure meet middle point MIXED MATHEMATICS numerous parallel to BC parallelogram perpen perpendicular polygon problems quadrilateral figure radius rectangle right angles Second Edition Shew similar triangles student tangent THEOREM VII Third Edition trapezium triangle ABC vertex
Δημοφιλή αποσπάσματα
Σελίδα 7 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
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Σελίδα 16 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
Σελίδα 5 - WILSON — THE BIBLE STUDENT'S GUIDE to the more Correct Understanding of the English Translation of the Old Testament, by reference to the original Hebrew. By WILLIAM WILSON, DD, Canon of Winchester, late Fellow of Queen's College, Oxford. Second Edition, carefully revised. 410. cloth. 25*. YONGE (CHARLOTTE M.)— SCRIPTURE READINGS FOR SCHOOLS AND FAMILIES. By CHARLOTTE M. YONGE, Author of "The Heir of Redclyffe.
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Σελίδα 4 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Σελίδα 16 - ... obtaining all the information which he will require on this branch of Mathematics. Each chapter is followed by a set of Examples : those which are entitled Miscellaneous Examples, together with a few in some of the other sets, may be advantageously reserved by the student for exercist after he has made some progress in the subject.
Σελίδα 7 - HELLENICA; OR, A HISTORY OF GREECE IN GREEK, as related by Diodorus and Thucydides ; being a First Greek Reading Book, with explanatory Notes, Critical and Historical.
Σελίδα 5 - THE BIBLE IN THE CHURCH. A Popular Account of the Collection and Reception of the Holy Scriptures in the Christian Churches.
Σελίδα 11 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.