Books Books Straight lines which are parallel to the same straight line are parallel to one another. Mathematics in the Lower and Middle Commercial and Industrial Schools of ... - Page 17
by Edson Homer Taylor - 1915 - 96 pages ## Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pages
...perpendicular to one of two parallels is also perpendicular to the other. PROPOSITION XXXVI. THEOR. Straight lines which are parallel to the same straight line are parallel to one another. Let AB and CD be each of them parallel to EF, then AB is also parallel to CD. Let the straight line... ## The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...and likewise the two interior angles upon the same side together equal to two right angles. Prop. 30. Straight lines which are parallel to the same straight line, are parallel to each other. Prop. 31. To draw a straight line through a given point parallel to a given straight line.... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...equal to two right angles. (ax. 1.) Wherefore, if a straight line, &e. QED PROPOSITION XXX. THEOREM. Straight lines which are parallel to the same straight line are parallel to each other. , Let the straight lines AB, CD, be each of them parallel to EF. Then shall AB be also... ## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 358 pages
...and interior angles ; and EGB, CHF, or AGE, DHF, th« nUc.rnatc exterior angles. PROP. XXX. THEOR. Straight lines which are parallel to the same straight line are parallel to on* another. Let AB, CD, be each of them parallel to EF ; AB is also parallel to CD. Let the straight... ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...equal to two right angles. [Axiom 1. Wherefore, if a straight line &c. QED PROPOSITION 30. THEOREM. Straight lines which are parallel to the same straight line are parallel to each other. Let AB, CD be each of them parallel to EF: AB shall be parallel to CD. Let the straight... ## Elementary Geometry, Volume 1

James Maurice Wilson - Geometry - 1868 - 132 pages
...meet however far they were produced;. since if they met they would have different directions. (3) That straight lines which are parallel to the same straight line are parallel to one another. For straight lines which are parallel to the same straight line have the same direction as that line,... ## Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...line, drawn through the point of bisection to meet the two lines, will be bisected in that point. SE Straight lines which are parallel to the same straight line are parallel to one another. 0 -fa -J> Let the st. lines AB, CD be each || to EF. Then must AB be II to CD. Draw the st. line GH,... ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...point of bisection to meet the two lines, will be bisected in that point. PROPOSITION XXX. THEOREM. Straight lines which are parallel to the same straight line are parallel to one another. / 7LI JDLet the st. lines AB, CD be each || to EF. Then must AB be II to CD. Draw the si line GH, cutting... ## The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - Geometry - 1872 - 216 pages
...it might be shown that the ^ HLD is equal to the ^ LFB, and the £ HLCtothe £ LFA, PBOPOSITION XXX. Straight lines which are parallel to the same straight line are parallel to each other. To prove this proposition we must know, — 1. That magnitudes which are equal to the same... 