Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" EQUAL triangles upon the same base, and upon the same side of it, are between the same parallels. "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 40
by Euclides - 1841 - 351 pages
Full view - About this book

Dialogues on the First Principles of the Newtonian System, Volume 4

Walter Henry Burton - Astronomy - 1828 - 68 pages
...hand, equal triangles Prop. xii. upon the same base (or upon equal bases in the same straight line) and upon the same side of it, are between the same parallels. For if the straight line which joins the vertices of the two triangles be not parallel to the base,...
Full view - About this book

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

Pierce Morton - Geometry - 1830 - 272 pages
...in the circumference which bisectsthe angle between them.] (c) The vertices of all equal spherical triangles upon the same base and upon the same side of it, lie in the circumference of a small circle, such that one equal and parallel to it may be drawn through...
Full view - About this book

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

Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...PROPOSITION XL. See Note. THEOREM. — Equal triangles, upon equal bases in ihe same straight line, and on the same side of it, are between the same parallels. Let the triangles ABC, EFD, which are upon equal bases BC and EF in the same straight line BF, and on the same...
Full view - About this book

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

Euclides - 1834
...is equal to the • 7 Ax. triangle DEF. Wherefore, triangles, &c. QED PROPOSITION XXXIX. THEOn. — Equal triangles upon the same base, and upon the same...Join AD : AD shall be parallel to BC. For if it is not, through the point A, draw * AE parallel to BC, and join EC. s 31. i. The triangle ABC is equal...
Full view - About this book

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

Euclid - 1835 - 513 pages
...the triangle ABC is equal to the triangle DEF. Wherefore, " triangles" &c. QED PROP. XXXIX. THEOR. Equal triangles upon the same base, and upon the same...the same base BC, and upon the same side of it; they are between the same parallels. Join AD ; AD is parallel to BC ; for, if it is not, through the * point...
Full view - About this book

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

John Playfair - Euclid's Elements - 1835 - 316 pages
...(7. Ax.) ; therefore the triangle ABC is equal to the triangle DEF. PROP. XXXIII. THEOR. Equivalent triangles upon the same base, and upon the same side...same base BC, and upon the same side of it ; they are between the same parallels. Join AD : AD is parallel to BC ; for, if it is not, through the point...
Full view - About this book

Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

Mathematics - 1835
...in the circumference which bisects the angle between them.] (c) The vertices of all equal spherical triangles upon the same base and upon the same side of it, lie in the circumference of a small circle, such that one equal and parallel to it may be drawn through...
Full view - About this book

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 472 pages
...XXXVIII. Triangles upon equal bases, and between the same parallels, are equal to one another. XXXIX. Equal triangles upon the same base, and upon the same side of it, are between the same parallels. XL. Equal triangles on the same side of bases, which are equal and in the same straight line, are between...
Full view - About this book

A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - Euclid's Elements - 1836 - 128 pages
...equal, 24. ART. 26. Triangles upon equal bases and between the same parallels are equal, ibid. ART. 27. Equal triangles upon the same base, and upon the same side of it, are between the same parallels, '25. ART. 28. Parallelograms which have equal bases and equal altitudes ire equal, 26. ART. 29. Triangles...
Full view - About this book

Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 240 pages
...equal (Ax. 7) ; therefore the triangle ABC is equal to the triangle DEF. PROPOSITION XXXIX. THEOREM. _ Equal triangles upon the same base, and upon the same...the same base BC, and upon the same side of it; they are between the same parallels. rallels BC, AE. But the triangle ABC is equal to the triangle BDC ;...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF