An introduction to the Elements of Euclid, being a familiar explanation of the first twelve propositions of the first book |
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An Introduction to the Elements of Euclid, Being a Familiar Explanation of ... Stephen Thomas Hawtrey Sin vista previa disponible - 2018 |
Términos y frases comunes
A B is equal adjacent angles angle A B C angle ACB angle B A C angle BAC angle contained angles are equal Arithmetic axiom Beginners bisected Book centre construction crown 8vo D E F Definition demonstration describe an equilateral Douglas White draw a straight drawn Eighth Proposition Eleventh Proposition equal sides equal to A C equal to CL equilateral triangle Euclid exercise figure five steps follows fourth proposition Geography geometry given equal given point given straight line greater Greek included angles isosceles triangle join Latin Maps Particular Enunciation post 8vo Prop proved equal question radii remaining angles required to prove right angles set square sides A B Sixth Proposition small 8vo space straight line A B three straight lines treatise triangle ABC triangles are equal vertex Wherefore write
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Página 102 - If two triangles have two sides of the one equal to two sides of the...
Página 10 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Página 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Página 98 - Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of' the base, equal to one another, and likewise those which are terminated in the other extremity.
Página 7 - Public Schools Atlas of Ancient Geography, 25 entirely New Coloured Maps, imperial Sv0.
Página 1 - The School-Books, Atlases, Maps, &c. comprised in this Catalogue may be inspected in the Educational Department of Messrs. LONGMANS and Co. 39 Paternoster How, London, where also all other works published by them may be seen. * English Reading-Lesson Book*.
Página 102 - On the same base, and on the same side of it, there cannot be two triangles having their sides which are terminated at one extremity of the base equal to one another, and likewise those which are terminated at the other extremity equal to one another.
Página 11 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 14 - LIVY, BOOKS XXII. and XXIII. The Latin Text with English Explanatory and Grammatical Notes, and a Vocabulary of Proper Names. Edited by JOHN T. WHITE, DD Oxon.
Página 123 - The neglect which he had shown of the elementary truths of geometry he afterwards regarded as a mistake in his mathematical studies ; and on a future occasion he expressed to Dr. Pemberton his regret that " he had applied himself to the works of Descartes, and other algebraic writers, before he had considered the Elements of Euclid with that attention which so excellent a writer deserved."3 The study of Descartes...