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" THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Σελίδα 106
των Thomas Perronet Thompson - 1833 - 150 σελίδες
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880
...of Euc. I. 4 ; I. 27; I. 29 ; and Axiom 2a. General*Enunciation. The straight lines which join the extremities of two equal and parallel straight lines...the same parts, are themselves equal and parallel. Particular Enunciation. Given.— (a) The straight lines AB, CD, equal and parallel. (b) The straight...

Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880
...the parts, are together equal to the square on the whole line. 4. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. 5. If a straight line be divided into any two parts, the sqTtares...

Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - 207 σελίδες
...PUPIL TEACHERS— SIXTH YEAR. EUCLID. (Time allowed, 3 hours. ) 1. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel. 2. To divide a given straight line into two parts so that the rectangle...

Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880
...be greater than the third? 4. What are parallel straight lines ? The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 σελίδες
...exterior angles are equal to four right angles. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. Let AB and CZ> be equal and parallel straight lines, and let them...

Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 σελίδες
...any) = Fonr rf ^ leg rectilineal figure QED PPOP. XXXIII. THEOKEM. The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB and CD be two equal and parallel straight lines, joined...

The Cambridge Examiner, Τόμος 1

1881
...the greater angle shall be greater than the base of the other. 3. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel. If two straight lines join the extremities of two parallel straight...

The papers set at the professional preliminary examination

College of preceptors - 1882
...Euclid on which your answer is based. 3. Define parallel straight lines. Straight lines which join the extremities of two equal and parallel straight lines...the same parts are themselves equal and parallel. State the converse proposition. Equilateral triangles are described externally on the sides of a rhombus...

Introduction to Quaternions: With Numerous Examples

Philip Kelland, Peter Guthrie Tait - 1882 - 232 σελίδες
...different routes. (See remark on Ex. 9.) EXAMPLES. Ex. 1. The straight lines which join the extremities of equal and parallel straight lines towards the same parts are themselves equal and parallel. ILetAB be equal and parallel to CD ; to prove that AC is equal and parallel to BD. Let vector AB be...

Class lessons on Euclid

Marianne Nops - 1882
...side of any triar^le, &c. — QED PROPOSITION XXXIII., THEOREM 23. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. Let AB and CD be equal and || straight lines joined towards the...




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