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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. "
Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ... - Page 37
by Euclid - 1890 - 400 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...the exterior angles are equal to four right angles. B •. \ a 29. 1. >>4. 1. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...right angles ; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two...parallel straight lines, towards the same parts, are also themselves equal and parallel. A. Let AB, CD be equal and parallel straight lines, and joined...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 518 pages
...parallels, anil joined towards the same parts by the straight lines BE, CH : but straight lines which join equal and parallel straight lines towards the same parts, are themselves equal and parallelb; therefore EB, CH are both equal and pa-b33 1. rallel, and EBCH is a parallelogram ; and...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 722 pages
...interior angles of every triangle are equal to tiro right angles. Prop. XXXIII. Theor. The straight line» which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Prop. XXXIV. Theor. The opposite sides and angles of parallelograms...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...right angles ; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two...parallel straight .lines towards the same parts, are also themselves equal and parallel. , Let AB, CD be equal and parallel straight lines, and join- A...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1819 - 333 pages
...right angles ; therefore all the exterior angles are equal to four right angles. PROP. XXXITI. THEOR. The straight lines which join the extremities of two...parallel straight lines, towards the same parts, are also themselves equal and parallel. B Let AB, CD, be equal and parallel straight lines, ard joined...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...right angles ; therefore all the exterior angles are equal to four right angles. Propontwn XXXIII. Theorem. The straight lines which join the extremities...parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel л _ в. straight lines, and joined...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 266 pages
...triangle ABC is equal to the triangle ADC, the diameter of course bisects it. Therefore, &c. QED Cor. The straight lines which join the extremities of two...parallel straight lines, towards the same parts, are also themselves equal and parallel. PROP. XV. THEOREM. Parallelograms upon the same base, and between...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1826 - 320 pages
...exterior angles are equal to four right angles. •t" PROP. XXXIII. THEOR. The straight lines whieh 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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...towards the same parts by the straight lines BE, CH : but straight lines which join the extremities of equal and parallel straight lines towards the same parts are themselves* equal and parallel; therefore EB, HC, are both equal and parallel ; and therefore EBCH is af parallelogram; and it is equal*...
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