Class lessons on Euclid1882 |
З цієї книги
Результати 1-5 із 23
Сторінка 8
... diameter of a circle is a straight line drawn through the centre and terminated both ways by the circum- ference ' ( equal in length to two radii ) . 18. A semicircle is the figure contained by a diameter 8 CLASS LESSONS ON EUCLID .
... diameter of a circle is a straight line drawn through the centre and terminated both ways by the circum- ference ' ( equal in length to two radii ) . 18. A semicircle is the figure contained by a diameter 8 CLASS LESSONS ON EUCLID .
Сторінка 9
... diameter . The area of a circle may be found by multiplying the square of the radius by 34 , the relation of the diameter to the circumference ( πp2 ) , e.g. supposing the radius of a circle to be 6 in . in length , its area would be ...
... diameter . The area of a circle may be found by multiplying the square of the radius by 34 , the relation of the diameter to the circumference ( πp2 ) , e.g. supposing the radius of a circle to be 6 in . in length , its area would be ...
Сторінка 11
... diameter , or diagonal . Parallelograms are of four kinds , which are thus defined by Euclid : - 6 : - 30. A square is that which has all its sides equal and all its angles right angles . ' 31. An oblong , or rectangle , is that which ...
... diameter , or diagonal . Parallelograms are of four kinds , which are thus defined by Euclid : - 6 : - 30. A square is that which has all its sides equal and all its angles right angles . ' 31. An oblong , or rectangle , is that which ...
Сторінка 85
... diameter bisects it . The diameter , or diagonal , of a parallelogram is the line which joins any pair of its opposite angles , dividing it into two triangles . Let ABDC be a parallelogram , we have to show that AB = CD , AC = BD , and ...
... diameter bisects it . The diameter , or diagonal , of a parallelogram is the line which joins any pair of its opposite angles , dividing it into two triangles . Let ABDC be a parallelogram , we have to show that AB = CD , AC = BD , and ...
Сторінка 86
... diameter bisects it . follows : - B Cons . - Nil . Proof - Alternate angles made by BC with both pairs of parallels are equal . BC is common to the two triangles ABC , BCD . .. △ ABC = △ BCD ( I. 26 ) . It I. AB = CD , AC = BD ...
... diameter bisects it . follows : - B Cons . - Nil . Proof - Alternate angles made by BC with both pairs of parallels are equal . BC is common to the two triangles ABC , BCD . .. △ ABC = △ BCD ( I. 26 ) . It I. AB = CD , AC = BD ...
Інші видання - Показати все
Загальні терміни та фрази
&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
Популярні уривки
Сторінка 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
Сторінка 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.
Сторінка 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.
Сторінка 10 - HAWEIS, Rev. HR, MA— Current Coin. Materialism— The Devil — Crime — Drunkenness — Pauperism — Emotion — Recreation —The Sabbath.
Сторінка 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.
Сторінка 17 - The Christian Year. Thoughts in Verse for the Sundays and Holy Days throughout the Year.
Сторінка 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.
Сторінка 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,
Сторінка 6 - The Doctrine of Last Things contained in the New Testament compared with the Notions of the Jews and the Statements of Church Creeds.
Сторінка 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.