Books Books 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 ... - Page 106
by Thomas Perronet Thompson - 1833 - 150 pages ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 CD be equal and parallel straight lines, and let them... ## Modern Methods in Elementary Geometry

E. M. Reynolds - Geometry - 1868 - 172 pages
...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 - 434 pages
...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 ..., Part 1

Euclides - 1871 - 136 pages
...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 - Geometry - 1872 - 376 pages
...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 - 248 pages
...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 - Quaternions - 1873 - 254 pages
...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 - Student teachers - 1873 - 592 pages
...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 - Euclid's Elements - 1874 - 400 pages
...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; .-.... 