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Seite xviii
... sides in succession , will be together equal to four right angles One Corollary . · 16 SECTION III . TRIANGLES . THEOREM 7. If one side of a triangle is produced , the exterior angle will be equal to the two interior and opposite angles ...
... sides in succession , will be together equal to four right angles One Corollary . · 16 SECTION III . TRIANGLES . THEOREM 7. If one side of a triangle is produced , the exterior angle will be equal to the two interior and opposite angles ...
Seite xix
... sides of a triangle will be together greater than the third side One Corollary . 24 THEOREM 14. If two angles of one ... opposite the greater angle THEOREM 18. Conversely . If the three sides of one triangle are respectively equal ...
... sides of a triangle will be together greater than the third side One Corollary . 24 THEOREM 14. If two angles of one ... opposite the greater angle THEOREM 18. Conversely . If the three sides of one triangle are respectively equal ...
Seite xx
... opposite to it THEOREM 20. If two triangles have two sides of the one equal to two sides of the other , and the angle opposite that which is not the less of the two sides of the one equal to the correspond- ing angle of the other ...
... opposite to it THEOREM 20. If two triangles have two sides of the one equal to two sides of the other , and the angle opposite that which is not the less of the two sides of the one equal to the correspond- ing angle of the other ...
Seite xxi
... sides Three Corollaries . PROBLEM 6. To construct a triangle , having given two angles and a side adjacent to both PROBLEM 7. Having given two angles and a side opposite to one of them , to construct the triangle PROBLEM 8. To construct ...
... sides Three Corollaries . PROBLEM 6. To construct a triangle , having given two angles and a side adjacent to both PROBLEM 7. Having given two angles and a side opposite to one of them , to construct the triangle PROBLEM 8. To construct ...
Seite xxii
... sides which contain the right angle Three Corollaries . THEOREM 30. In any triangle the square on a side opposite an acute angle is less than the squares on the sides containing that angle by twice the rectangle contained by either of those ...
... sides which contain the right angle Three Corollaries . THEOREM 30. In any triangle the square on a side opposite an acute angle is less than the squares on the sides containing that angle by twice the rectangle contained by either of those ...
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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.