Elementary geometry |
From inside the book
Results 1-5 of 17
Page xxv
... touch one another , the line that joins their centres will pass through the point of contact Exercises . 101 · · 103 ... touch two given straight lines PROBLEM 7. To describe a circle to touch three given straight lines of indefinite ...
... touch one another , the line that joins their centres will pass through the point of contact Exercises . 101 · · 103 ... touch two given straight lines PROBLEM 7. To describe a circle to touch three given straight lines of indefinite ...
Page 101
... touch one another at that point . Since two circles intersect in only two points , it fol- lows that two circles which touch one another can have no other point in common ; for the two points of intersec- tion are merged in the point of ...
... touch one another at that point . Since two circles intersect in only two points , it fol- lows that two circles which touch one another can have no other point in common ; for the two points of intersec- tion are merged in the point of ...
Page 102
... touch one another have a com- mon tangent at their point of contact . For the line at right angles to 00 ' through T is a tangent to both circles by Th . 7 . COR . 2. If R , r are the radii of two circles , D the distance between their ...
... touch one another have a com- mon tangent at their point of contact . For the line at right angles to 00 ' through T is a tangent to both circles by Th . 7 . COR . 2. If R , r are the radii of two circles , D the distance between their ...
Page 103
... touch each other externally , and a third circle is described touching both externally . Shew that the difference of the distances of its centre from the centre of the two given circles will be constant . 4. If two circles intersect one ...
... touch each other externally , and a third circle is described touching both externally . Shew that the difference of the distances of its centre from the centre of the two given circles will be constant . 4. If two circles intersect one ...
Page 106
... touch AD in A , and to pass through B , the segment of that circle alternate to BAD will be the segment required . To find the centre of this circle , draw AO 106 [ Book ELEMENTARY GEOMETRY . On a given straight line to describe a ...
... touch AD in A , and to pass through B , the segment of that circle alternate to BAD will be the segment required . To find the centre of this circle , draw AO 106 [ Book ELEMENTARY GEOMETRY . On a given straight line to describe a ...
Other editions - View all
Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.
Page 175 - ARISTOTLE ON FALLACIES ; OR, THE SOPHISTICI ELENCHI. With a Translation and Notes by EDWARD POSTE, MA, Fellow of Oriel College, Oxford. 8vo.
Page 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.
Page 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.
Page 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.
Page 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.