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Σελίδα 13
... 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 fraction . Axioms 2-5 form a second connected ...
... 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 fraction . Axioms 2-5 form a second connected ...
Σελίδα 90
... double of △ DBC ( I. 34 ) . ..grams are equal . Cases II . and III . A AEBA DFC ( I. 4 , I. 8 , I. 26 ) . △ DFC + || gram ADCB = ^ AEB + || gram EFCB . .. || gram ADCB = ram EFCB ( ax . 3 ) . ( N.B. Equal parts of the triangles . AE ...
... double of △ DBC ( I. 34 ) . ..grams are equal . Cases II . and III . A AEBA DFC ( I. 4 , I. 8 , I. 26 ) . △ DFC + || gram ADCB = ^ AEB + || gram EFCB . .. || gram ADCB = ram EFCB ( ax . 3 ) . ( N.B. Equal parts of the triangles . AE ...
Σελίδα 92
... double of the triangle . For each of the parallelograms in the figure is double of one of the triangles ( I. 34 ) , and since the triangles are equal , each parallelogram must be double of either triangle . This corollary is enunciated ...
... double of the triangle . For each of the parallelograms in the figure is double of one of the triangles ( I. 34 ) , and since the triangles are equal , each parallelogram must be double of either triangle . This corollary is enunciated ...
Σελίδα 95
... double of any triangle on the same base and between the same parallels as itself . Then , if we can divide the given triangle into two equal triangles , we can construct a parallelogram double of either of these ( as in I. 37 ) and ...
... double of any triangle on the same base and between the same parallels as itself . Then , if we can divide the given triangle into two equal triangles , we can construct a parallelogram double of either of these ( as in I. 37 ) and ...
Σελίδα 96
... double of triangle AEC ( I. 41 ) , and therefore equal to triangle ABC . B E C The problem is thus parallelogram ( i.e. its It follows from this proposition that any triangle may be divided into two others of equal area , by bisecting ...
... double of triangle AEC ( I. 41 ) , and therefore equal to triangle ABC . B E C The problem is thus parallelogram ( i.e. its It follows from this proposition that any triangle may be divided into two others of equal area , by bisecting ...
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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
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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.