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" FG [Hypothesit. and joined 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. "
Introduction to quaternions, by P. Kelland and P.G. Tait - Σελίδα 9
των Philip Kelland - 1873
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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...parallels, and 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 parallel b ; therefore EB, CH are both equal and pa-b33. 1. rallel, and EBCH is a parallelogram ; and it is...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 σελίδες
...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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...parallels, and 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 parallel b; therefore EB, b33. 1. CH, are both equal and parallel, and EBCH is a parallelo- c 3d- 1. gram ;...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 σελίδες
...parallels, and 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 parallel (33. 1.); therefore EB, CH are both equal and parallel, and EBCH is a parallelogram ; and it is equal...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 σελίδες
...paralleb/and joined towards the same parts, by the straight lines BE, CH : But straight lines which join eqnal and parallel straight lines towards the same parts, are themselves equal and parallel, (33. 1.) therefore ЕВ, СН, are both equal and parallel, and EBCH is a parallelogram ; and it is...

Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 σελίδες
...parallels, and joined towards the same parts by straight lines AE, BF ; CI) but straight lines which join equal and parallel straight lines towards the same parts, are themselves equal and pa- AB G- H b Cor. u. rallelb ; therefore, AE, BF are both equal and parallel, and EABF is a parallelogram,...

The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 σελίδες
...to-)-EH; and they aref parallels, and joined towards the same parts by the straight lines BE, CH : but straight lines which join the extremities of equal...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*...

Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 σελίδες
...В AC (47.), taking В d, de,&c. each equal to M, and joining corresponding points D d, E e, &c. Por the straight lines which join the extremities of equal and parallel straight lines, are also themselves equal and parallel (21.). A similar process may be recommended, whenever a number...

Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 168 σελίδες
...right angle. PROPOSITION XXXIV. THEOREM. — The straight lines which join t>>e extremities of two equal and parallel straight lines, towards the same...parts, are themselves equal and parallel. Let AB, CD be two equal and parallel straight lines and joined towards the same parts [that is to say, not...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 σελίδες
...EH ; and they aret parallels, and joined towards the same parts by the straight lines BE, CH : but straight lines which join the extremities of equal...the same parts, are themselves * equal and parallel ; therefore EB, HC are both equal and parallel ; and therefore EBCH is at parallelogram ; and it is...




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