Class lessons on Euclid1882 |
Dentro del libro
Resultados 1-5 de 72
Página 16
... lines and angles , & c . , made use of in a propo- sition are named from the letters of the alphabet taken con- secutively . A line ... given finite 16 CLASS LESSONS ON EUCLID .
... lines and angles , & c . , made use of in a propo- sition are named from the letters of the alphabet taken con- secutively . A line ... given finite 16 CLASS LESSONS ON EUCLID .
Página 17
... given line will itself form one side of the triangle , and if we can draw two other lines equal to it in such a position that the three lines shall together form an equilateral triangle , the problem will be solved . Draw a line to ...
... given line will itself form one side of the triangle , and if we can draw two other lines equal to it in such a position that the three lines shall together form an equilateral triangle , the problem will be solved . Draw a line to ...
Página 18
... given line AB . It remains to translate the problem into formal mathe- matical language , and it will be identical with Euclid's first proposition . PROPOSITION I. , PROBLEM . [ The propositions are collected at the end of the book for ...
... given line AB . It remains to translate the problem into formal mathe- matical language , and it will be identical with Euclid's first proposition . PROPOSITION I. , PROBLEM . [ The propositions are collected at the end of the book for ...
Página 19
... given point to draw a straight line equal to a given straight line . ' Mark any point A and draw a straight line BC to represent the given line . From our work in the last proposition you will remember that we can obtain lines equal to any ...
... given point to draw a straight line equal to a given straight line . ' Mark any point A and draw a straight line BC to represent the given line . From our work in the last proposition you will remember that we can obtain lines equal to any ...
Página 20
... given line . Take away DA the side of the triangle , the remainder AL must be equal to the given line , and it is therefore the line required . There are eight different ways in which the figure of this proposition can be drawn ...
... given line . Take away DA the side of the triangle , the remainder AL must be equal to the given line , and it is therefore the line required . There are eight different ways in which the figure of this proposition can be drawn ...
Otras ediciones - Ver todas
Términos y frases comunes
&c.-Q.E.D. PROPOSITION ABCD alternate angles angle ABC angle ACB angles are equal angles equal base BC bisected Cheaper Edition circle cons construction Demy 8vo diameter enunciation equal bases equal in area equal sides equal triangles equilateral triangle Euclid exterior Fcap Frontispiece given angle given line given point given straight line given triangle gnomon gram half the line Illustrations interior and opposite interior angles isosceles triangle Join line equal meet opposite angles opposite sides parallelogram perpendicular Poems problem produced proof Prop rectangle contained rhombus right angles right-angled triangle Second Edition sides equal Small crown 8vo square on AC square on half SUMMARY OF PROPOSITION THEOREM Third Edition Translated triangle ABC triangles are equal twice the rect twice the rectangle vertical angle vols Wherefore whole line
Pasajes populares
Página 25 - THE INTERNATIONAL SCIENTIFIC SERIES. I. Forms of Water : a Familiar Exposition of the Origin and Phenomena of Glaciers. By J. Tyndall, LL.D., FRS With 25 Illustrations. Eighth Edition. Crown Svo, 5*. II. Physics and Politics ; or, Thoughts on the Application of the Principles of "Natural Selection " and " Inheritance
Página 19 - Ezra, Nehemiah, and Esther. By Rev. Canon G. RAWLINSON, MA With Homilies by Rev. Prof. JR THOMSON, MA, Rev. Prof. RA REDFORD, LL.B., MA, Rev. WS LEWIS, MA, Rev. JA MACDONALD, Rev. A. MACKENNAL, BA, Rev. W. CLARKSON, BA, Rev. F. HASTINGS, Rev. W. DINWIDDIE, LL.B., Rev. Prof. ROWLANDS, BA, Rev. G. WOOD, BA, Rev. Prof. PC BARKER, MA, LL.B., and the Rev.
Página 14 - The Medical Guide for Anglo-Indians. Being a Compendium of Advice to Europeans in India, relating to the Preservation and Regulation of Health. With a Supplement on the Management of Children in India. Second Edition. Crown 8vo. Limp cloth, price 3* . 6d, MALDEN (HE and EE) Princes and Princesses.
Página 10 - HAWEIS, Rev. HR, MA— Current Coin. Materialism— The Devil — Crime — Drunkenness — Pauperism — Emotion — Recreation —The Sabbath.
Página 30 - WARTENSLEBEN (Count H. von). The Operations of the South Army in January and February, 1871. Compiled from the Official War Documents of the Head-quarters of the Southern Army. Translated by Colonel CH von Wright. With Maps. Demy 8vo.
Página 17 - The Christian Year. Thoughts in Verse for the Sundays and Holy Days throughout the Year.
Página 22 - Church and Home. Selected and Edited by the Rev. W. Fleming Stevenson. The most complete Hymn Book published. The Hymn Book consists of Three Parts : — I. For Public Worship. — II. For Family and Private Worship. —III. For Children. %* Published in various forms and prices, the latter ranging from 8d.
Página 25 - YOUMANS (Eliza A.). An Essay on the Culture of the Observing Powers of Children, especially in connection with the Study of Botany. Edited, with Notes and a Supplement, by Joseph Payne, FCP, Author of " Lectures on the Science and Art of Education,
Página 6 - The Doctrine of Last Things contained in the New Testament compared with the Notions of the Jews and the Statements of Church Creeds.
Página 5 - A General History of Greece from the Earliest Period to the Death of Alexander the Great, with a sketch of the subsequent History to the present time. New Edition. Crown 8vo. Cloth, price 7*. 6d. Tales of Ancient Greece.