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Seite xix
... THEOREM 15. If two triangles are equiangular to one another and have a side of the one equal to the corresponding side of the other , then triangles will be equal in all respects • THEOREM 16. If two sides and the included angle of one ...
... THEOREM 15. If two triangles are equiangular to one another and have a side of the one equal to the corresponding side of the other , then triangles will be equal in all respects • THEOREM 16. If two sides and the included angle of one ...
Seite xxix
... THEOREM 14. Similar polygons are to one another in the ratio of the squares of their homologous sides . 158 THREE COROLLARIES 159 RELATION OF ALGEBRA TO GEOMETRY . Examples on the Section 160 THEOREM 15. Circumferences of circles have ...
... THEOREM 14. Similar polygons are to one another in the ratio of the squares of their homologous sides . 158 THREE COROLLARIES 159 RELATION OF ALGEBRA TO GEOMETRY . Examples on the Section 160 THEOREM 15. Circumferences of circles have ...
Seite 8
... THEOREM I. When a straight line stands upon another straight line , it will make the adjacent angles together equal ... 15. Two angles are said to be supplementary to one another when their sum is a straight angle . Def . 16. Two angles are ...
... THEOREM I. When a straight line stands upon another straight line , it will make the adjacent angles together equal ... 15. Two angles are said to be supplementary to one another when their sum is a straight angle . Def . 16. Two angles are ...
Seite 9
James Maurice Wilson. THEOREM 2 . The sum of all the angles made by any ... THEOREM 3 . Vertically opposite angles will be equal to one another . Let ... 15 ' . And a minute is subdivided into 60 seconds ( 60 " ) . EXERCISES ON ...
James Maurice Wilson. THEOREM 2 . The sum of all the angles made by any ... THEOREM 3 . Vertically opposite angles will be equal to one another . Let ... 15 ' . And a minute is subdivided into 60 seconds ( 60 " ) . EXERCISES ON ...
Seite 15
... theorem , its opposite , its converse , and the converse of its opposite ... theorems are true , then the rest follow logically . Thus , " If two lines are parallel , the corresponding angles will be equal " is ... 15 . PARALLELS .
... theorem , its opposite , its converse , and the converse of its opposite ... theorems are true , then the rest follow logically . Thus , " If two lines are parallel , the corresponding angles will be equal " is ... 15 . PARALLELS .
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Häufige Begriffe und Wortgruppen
AB² ABCD ALGEBRA altitude angle ABC angle AOB ARITHMETIC bisectors bisects the angle BROOKE FOSS WESTCOTT Cambridge centre chord circumference cloth coincide common measure corresponding angles Crown 8vo decagon describe a circle diagonals diameter divided ELEMENTARY equal angles equiangular equivalent Euclid exterior angles Fcap Find the locus four right angles Geometry given angle given circle given line given point given ratio given straight line greater Hence hypothenuse inscribed intersect isosceles triangle less Let ABC magnitudes Mathematical meet middle points opposite sides parallel parallelogram perpendicular PROBLEM Proof proportional prove quadrilateral radius rectangle contained regular polygon respectively equal rhombus right angles right-angled triangle Schools Second Edition segments shew shewn similar similar triangles square subtend tangent Theorem 15 three sides touch TREATISE triangle ABC unequal vertical angle
Beliebte Passagen
Seite 11 - 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.
Seite 178 - Thucydides. — THE SICILIAN EXPEDITION. Being Books VI. and VII. of Thucydides, with Notes. A New Edition, revised and enlarged, with a Map. By the Rev. PERCIVAL FROST, MA. late Fellow of St. John's College, Cambridge. Fcap. 8vo.
Seite 182 - NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge. AN ELEMENTARY TREATISE ON TRILINEAR ' CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors.
Seite 11 - 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. 4to. cloth. 25*. YONGE (CHARLOTTE M.)— SCRIPTURE READINGS FOR SCHOOLS AND FAMILIES. By CHARLOTTE M. YONGE, Author of "The Heir of Redclyffe.
Seite 175 - ARISTOTLE.— AN INTRODUCTION TO ARISTOTLE'S RHETORIC. With Analysis, Notes, and Appendices. By EM COPE, Senior Fellow and Tutor of Trinity College, Cambridge. 8vo.
Seite 175 - ARISTOTLE ON FALLACIES ; OR, THE SOPHISTICI ELENCHI. With a Translation and Notes by EDWARD POSTE, MA, Fellow of Oriel College, Oxford. 8vo.
Seite 182 - 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.
Seite 179 - 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.
Seite 4 - ... 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.
Seite 179 - 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.