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" Equal triangles, upon equal bases in the same straight line, and towards the same parts, are between the same parallels. Let the equal triangles ABC, DEF be upon equal bases BC, EF, in the same straight line BF, and towards the same parts. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ... - Σελίδα 34
των Robert Potts - 1865 - 504 σελίδες
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...equal triangles upon, &c. QE1 D. Book I. PROP. XL. THEOR. EQUAL triangles upon equal bases, in the same straight line, and towards the same parts, are...same straight line BF, and towards the same parts ; they are between the same parallels. Join AD ; AD is parallel to BC. If it is -15 g ^ -a a 31. 1....

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

Robert Simson - 1806 - 546 σελίδες
...£. D. BC Wherefore, equal triangles, Sec. PROP. XL. THEOR. EQUAL triangles upon equal bases, in the same straight line, and towards the same parts, are...EF, in the same straight line BF, and towards the they same parts ; they are between the same parallels. Join AD; AD is parallel to BC : for, if it is...

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

Euclid - 1810 - 554 σελίδες
...equal triangles upon, &c. QED b 37. 1. B D PROP. XL. THEOR. EQUAL triangles upon equal bases, in the same straight line, and towards the same parts, are...DEF be upon equal bases BC, EF, in the same straight fine BF, and towards the tame parts; they are between the same parallels. Join AD; AD is parallel to...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...side of it, are between the same parallels. Prop. XL. Theor. Equal triangles upon equal bases, in the same straight line, and towards the same parts, are between the same parallels. Prop. XIJ. Theor. If a parallelogram and triangle he u|K>n the same base, and between the same parallels;...

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

Euclides - 1814 - 560 σελίδες
...greater to the less, which is impos- '' C PROP. XL. THEOR. EQUAL triangles upon equal bases, in the same straight line, and towards the same parts, are...upon equal bases BC, EF, in the same straight line BF,and towards the same parts; they are between the same parallels. Join AD; AD is parallel to BC :...

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

Euclides - 1816 - 588 σελίδες
...Whei»- . fore equal triangles upon, &c. QED PROP. XL. THEOR. EQUAL triangles upon equal bases, in the same straight line, and towards the same parts, are...triangles ABC, DEF be upon equal bases BC, EF, in the same A straight line BF, and towards the same parts; they are between the .same parallels. Join AD ; AD...

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

John Playfair - 1819 - 354 σελίδες
...XL. THEOR. Equal triangles on the same side of bases, which are equal and in the same straight line, are between the same parallels. Let the equal triangles...same straight line BF, and towards the same parts ; they are between the same parallels. _Join AD ; AD is parallel to For, if it is not, through A draw...

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

John Playfair - 1819 - 350 σελίδες
...equal and in tht same straight line, are between the same parallels. Let the equal triangles ABC, DBF be upon equal bases BC, EF; in the same straight line BF, A_ J) and towards the same parts ; they are between the same parallels. Join AD ; AD is parallel to...

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

Peter Nicholson - 1825 - 1046 σελίδες
...Wherefore equal triangles, &c. QED Proposition XL. Theorem. Equal triangles upon equal bases, in the same straight line, and towards the same parts, are between the same parallels. I Let the equal triangles ABC, D EF be upon equal bases BC, EF, in the same straight line BF, and towards...

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

Euclid, John Playfair - 1826 - 326 σελίδες
...XL. THEOR. Equal triangles on the same side of bases, whieh are equal and in the same straight line, are between the same parallels. . Let the equal triangles ABC, DEF be upon equal basis BC, EF, in the same straight line BF, and towards the same parts; they are between the same parallels....




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