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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's Elements of geometry, books i. ii. iii. iv - Seite 33
von Euclides - 1862
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 Seiten
...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...same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 Seiten
...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...same parts, are also themselves equal and parallel. A. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813
...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...same parts, are also themselves equal and parallel. Prop. XXXIV. Theor. The opposite sides and angles of parallelograms are equal to one another, and the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 Seiten
...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...same parts, are also themselves equal and parallel. , Let AB, CD be equal and parallel straight lines, and join- A ed towards the same parts by ' the straight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 Seiten
...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...same parts, are also themselves equal and parallel. B Let AB, CD, be equal and parallel straight lines, ard joined towards the same parts by the straight...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 Seiten
...right angles ; therefore all the exterior angles are equal to four right angles. Propontwn XXXIII. Theorem. The straight lines which join the extremities...same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel л _ в. straight lines, and joined towards the '7 .s'\ •ame part«...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...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...same parts, are also themselves equal and parallel. PROP. XV. THEOREM. Parallelograms upon the same base, and between the same parallels, are equivalent....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 Seiten
...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...same parts, are also themselves equal and parallel. Let AB, CD, be equal and parallel straight lines, and joined towards the same parts by the straight...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 Seiten
...equal to four right angles. PROP. XXXIIL THEOR. The straight lines which join the extremities of IIKO equal and parallel straight lines towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel AB straight lines, and joined towards the same parts by the straight...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 Seiten
...angles. SECTIOX 4. Parallelograms. PROP. 21. (Eue. i. 33.) The straight lines which join the extremitie» of two equal and parallel straight lines towards the same parts, are likewise themselves equal and parallel. Let the straight lines AD, 13 С be equal -and parallel, and...
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