Class lessons on Euclid1882 |
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Σελίδα
... propositions per se more interesting and intelli- gible , and of affording models for the guidance of the student in his original work . After this analysis a summary is made of the main points on which the solution or demonstration ...
... propositions per se more interesting and intelli- gible , and of affording models for the guidance of the student in his original work . After this analysis a summary is made of the main points on which the solution or demonstration ...
Σελίδα 18
... PROPOSITION I. , PROBLEM . [ The propositions are collected at the end of the book for convenient reference . It is intended that each should be read immediately after its analysis . ] SUMMARY OF PROPOSITION I. , PROBLEM 1 . To describe ...
... PROPOSITION I. , PROBLEM . [ The propositions are collected at the end of the book for convenient reference . It is intended that each should be read immediately after its analysis . ] SUMMARY OF PROPOSITION I. , PROBLEM 1 . To describe ...
Σελίδα 20
... proposition can be drawn , according to the relative position of the point A and BC . SUMMARY OF PROPOSITION II . , PROBLEM 2 . From a given point to draw a straight line equal to a given straight line . K D H B L E F Cons . - Join AB ...
... proposition can be drawn , according to the relative position of the point A and BC . SUMMARY OF PROPOSITION II . , PROBLEM 2 . From a given point to draw a straight line equal to a given straight line . K D H B L E F Cons . - Join AB ...
Σελίδα 21
... statement of this proposition it is not necessary to divide it into two cases , as the first is included in the second . This has been done here only to make the solution more obvious . ] SUMMARY OF PROPOSITION III . , PROBLEM 3 . From ...
... statement of this proposition it is not necessary to divide it into two cases , as the first is included in the second . This has been done here only to make the solution more obvious . ] SUMMARY OF PROPOSITION III . , PROBLEM 3 . From ...
Σελίδα 23
... SUMMARY OF PROPOSITION IV . , THEOREM 1 . Given : In two triangles two sides and the included angle equal . To be demonstrated : That the triangles are equal in all respects . Cons . - Nil . Proof . - Apply one triangle to the other ...
... SUMMARY OF PROPOSITION IV . , THEOREM 1 . Given : In two triangles two sides and the included angle equal . To be demonstrated : That the triangles are equal in all respects . Cons . - Nil . Proof . - Apply one triangle to the other ...
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&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
Δημοφιλή αποσπάσματα
Σελίδα 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
Σελίδα 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.
Σελίδα 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.
Σελίδα 10 - HAWEIS, Rev. HR, MA— Current Coin. Materialism— The Devil — Crime — Drunkenness — Pauperism — Emotion — Recreation —The Sabbath.
Σελίδα 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.
Σελίδα 17 - The Christian Year. Thoughts in Verse for the Sundays and Holy Days throughout the Year.
Σελίδα 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.
Σελίδα 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,
Σελίδα 6 - The Doctrine of Last Things contained in the New Testament compared with the Notions of the Jews and the Statements of Church Creeds.
Σελίδα 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.