## Class lessons on Euclid1882 |

### From inside the book

Results 1-5 of 65

Page 16

...

...

**angles**, & c . , made use of in a propo- sition are named from the letters of the alphabet taken con ...**angle**ABC or CBA . A rectilineal figure usually has a letter placed at each ...**given**finite 16 CLASS LESSONS ON EUCLID . Page 22

...

...

**angle**included by these sides , severally equal to two sides , and the**angle**included by them of another , these ...**given**below . In the triangles which we are considering we are**given**- ( 1 ) Two sides in one equal to two sides in ... Page 23

...

...

**angle**between them are**given**equal , we know that these equal parts will coincide . What results can we observe from ...**Given**: In two triangles two sides and the included**angle**equal . To be demonstrated : That the triangles are ... Page 25

...

...

**angle**ABC =**angle**ACB . Produce the equal sides to D and E we have to show ( 2 ) that**angle**DBC is = to**angle**ECB ...**given**triangle ABC . ( 2 ) A pair of constructed triangles FBC , GCB . ( 3 ) A pair of triangles AFC and AGB formed by ... Page 28

...

...

**angle**at A is common to Therefore the triangles are equal in all respects ( I. 4 ) , and the**angle**ABC = ACB = ACB . Proposition VI . is what is called the converse of the first part of Proposition V. , i.e. we are**given**what we were re ...### Other editions - View all

### Common terms and phrases

&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

### Popular passages

Page 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

Page 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.

Page 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.

Page 10 - HAWEIS, Rev. HR, MA— Current Coin. Materialism— The Devil — Crime — Drunkenness — Pauperism — Emotion — Recreation —The Sabbath.

Page 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.

Page 17 - The Christian Year. Thoughts in Verse for the Sundays and Holy Days throughout the Year.

Page 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.

Page 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,

Page 6 - The Doctrine of Last Things contained in the New Testament compared with the Notions of the Jews and the Statements of Church Creeds.

Page 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.