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Σελίδα 4
... follow the argument closely , or , by a moment's inattention , a point will escape our notice , and we shall find at the conclusion a flaw in the demonstration which will make it valueless , and oblige us to retrace our steps to the ...
... follow the argument closely , or , by a moment's inattention , a point will escape our notice , and we shall find at the conclusion a flaw in the demonstration which will make it valueless , and oblige us to retrace our steps to the ...
Σελίδα 5
... follows : - Nos . 1-7 are definitions of lines and surfaces . 8-12 " " " " of angles . 13-34 " " " " of figures . Of these Nos . 15-19 define the circle and its parts . 24-29 " " 30-34 99 29 " " triangles . four - sided figures . No. 35 ...
... follows : - Nos . 1-7 are definitions of lines and surfaces . 8-12 " " " " of angles . 13-34 " " " " of figures . Of these Nos . 15-19 define the circle and its parts . 24-29 " " 30-34 99 29 " " triangles . four - sided figures . No. 35 ...
Σελίδα 13
... follow axioms 6 and 7 . 6. Things which are double of the same thing are equal to one another . ' 7. ' Things which are halves of the same thing are equal to one another . ' These axioms may of course be extended to any multiple or ...
... follow axioms 6 and 7 . 6. Things which are double of the same thing are equal to one another . ' 7. ' Things which are halves of the same thing are equal to one another . ' These axioms may of course be extended to any multiple or ...
Σελίδα 26
... follows that ' the angles on the other side of the base ' are equal . In the triangles FBC , BCG : we have side BF side BC CG ( by construction ) BC ( common to both ) . We know nothing of the size of any of the angles , but the angles ...
... follows that ' the angles on the other side of the base ' are equal . In the triangles FBC , BCG : we have side BF side BC CG ( by construction ) BC ( common to both ) . We know nothing of the size of any of the angles , but the angles ...
Σελίδα 27
... follows immediately from the proof of any theorem is called a corollary . ' Proposition V. is of very ancient origin , and is ascribed to the philosopher Thales , one of the seven wise men of Greece . Another demonstration of its first ...
... follows immediately from the proof of any theorem is called a corollary . ' Proposition V. is of very ancient origin , and is ascribed to the philosopher Thales , one of the seven wise men of Greece . Another demonstration of its first ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
&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.