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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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Modern Methods in Elementary Geometry

E. M. Reynolds - 1868 - 112 σελίδες
...which are separately equal, are equal. THEOREM XVII. The straight lines which join the extremities of equal and parallel straight lines towards the same parts are themselves equal and parallel. Let AB foe equal and parallel . „ Then shall BC be equal and pa- \ „''' \ rallel to DA. \p £ Join BD....

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 σελίδες
...equal to four right angles, (ax. 3.) PROPOSITION XXXIII. 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, CD be equal and parallel straight lines, and joined towards...

Elements of geometry, containing the first two (third and fourth ..., Μέρος 1

Euclides - 1871
...together equal to seven right angles ? PROPOSITION XXXIII. 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 the equal and || st. lines AB, CD be joined towards the same...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 σελίδες
...together equal to seven right angles ? PROPOSITION XXXIII. 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. oo Let the equal and II st. lines AB, CD be joined towards the...

Introduction to quaternions, by P. Kelland and P.G. Tait

Philip Kelland - 1873
...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. Let AB be equal and parallel to CD • д R to prove that AC is equal and parallel ioBD. Let vector AB be...

Introduction to Quaternions, with Numerous Examples

Philip Kelland, Peter Guthrie Tait - 1873 - 227 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. Let AB be equal and parallel to CD • to prove that AC is equal and parallel to BD. Let vector AB be represented...

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...to twice as many right angles as the figure has sides. XXXIII. — 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, CD, be equal and parallel straight lines, and joined towards...

Euclidian Geometry

Francis Cuthbertson - 1874 - 349 σελίδες
...line, which is impossible. (Lemma.) PROPOSITION XXIII. Straight lines which join the extremities of equal and parallel straight lines towards the same parts are themselves equal and parallel. Let AB be = and || to CD. Join AC, BD. Then shall AC be = and || to BD. Join BC. Then v AB is | | to CD; .-....

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...equal to four right angles (Ax. 3). 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, CD be equal and parallel straight lines, and joined towards...

Pure mathematics, Τόμος 1

Edward Atkins - 1874
...equal to four right angles (Ax. 3). Proposition 33.— Theorem. T/ie 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 parallel straight lines joined towards...




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