An introduction to the Elements of Euclid, being a familiar explanation of the first twelve propositions of the first book |
Frases i termes més freqüents
A B is equal A C is equal ABC and DEF adjacent angles angle A B C angle ABC angle ACB angle B A C angle BAC angle contained angles are equal Arithmetic axiom bisected Book centre construction crown 8vo Definition demonstration describe an equilateral Douglas White draw a straight drawn Eighth Proposition Eleventh Proposition equal sides equal to CL equilateral triangle Euclid exercise figure five steps follows fourth proposition Geography given equal given point given straight line greater included angles isosceles triangle join Latin Maps Palæstra Particular Enunciation post 8vo Prop proved equal question radii remaining angles required to prove respect 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
Passatges populars
Pàgina 54 - If two triangles have two sides of the one equal to two sides of the...
Pàgina 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.
Pàgina 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.
Pàgina 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*. Hilton's Infant Primer for School and Home use, 18mo 3d.
Pàgina 103 - 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.
Pàgina 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.
Pàgina 11 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Pàgina 83 - If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another.
Pàgina 15 - Subsidia Primaria, Exercise Books to the Public School Latin Primer. I. Accidence and Simple Construction, 2s.
Pàgina 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...