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Seite xviii
... triangle which is not isosceles will have the angles at its base unequal , the greater angle being opposite to the greater side THEOREM 10. Conversely . A triangle which has the angles at its base equal will be isosceles One Corollary ...
... triangle which is not isosceles will have the angles at its base unequal , the greater angle being opposite to the greater side THEOREM 10. Conversely . A triangle which has the angles at its base equal will be isosceles One Corollary ...
Seite 19
... isosceles when two of its A triangle is called equilateral when all its sides are equal , and equiangular when all its angles are equal . Def . 25. It is said to be right - angled or ... triangle is C 2 I. ] 19 TRIANGLES . TRIANGLES.
... isosceles when two of its A triangle is called equilateral when all its sides are equal , and equiangular when all its angles are equal . Def . 25. It is said to be right - angled or ... triangle is C 2 I. ] 19 TRIANGLES . TRIANGLES.
Seite 21
... isosceles triangle will have the angles at its base equal . Let ABC be an isosceles triangle , having AB = AC . B A Then shall the angle B = the angle C. Proof . For conceive the triangle ABC taken up and put down in its former po ...
... isosceles triangle will have the angles at its base equal . Let ABC be an isosceles triangle , having AB = AC . B A Then shall the angle B = the angle C. Proof . For conceive the triangle ABC taken up and put down in its former po ...
Seite 22
... triangle OC'B ( Th . 7 , Cor . 4 ) ; and therefore ACB is greater than ABC . THEOREM IO . Conversely . A triangle which has the angles at its base equal will be isosceles . Let the triangle ABC have the angles B and C equal . Then shall ...
... triangle OC'B ( Th . 7 , Cor . 4 ) ; and therefore ACB is greater than ABC . THEOREM IO . Conversely . A triangle which has the angles at its base equal will be isosceles . Let the triangle ABC have the angles B and C equal . Then shall ...
Seite 33
... triangle , and meet the opposite sides , are equal . Let ABC be an isosceles triangle . Data . AB AC , and the angles at B = and C bisected by BD , CE . Proof . In the triangles AEC , ADB we have AC = AB . Data . angle at A common and ...
... triangle , and meet the opposite sides , are equal . Let ABC be an isosceles triangle . Data . AB AC , and the angles at B = and C bisected by BD , CE . Proof . In the triangles AEC , ADB we have AC = AB . Data . angle at A common and ...
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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.