Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third. "
Plane Geometry - Page 24
by Jacob William Albert Young, Lambert Lincoln Jackson - 1916 - 312 pages
Full view - About this book

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...than a third, the other is also greater than the third. 15. If there be three magnitudes, of which the first is greater than the second, and the second is greater than the third, still more is the first greater than the third. ' DEFINITIONS OF TERMS. 1. A proposition is a portion...
Full view - About this book

The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...greater than one of two equal magnitudes it is also greater than the other. (v) If of three magnitudes the first is greater than the second and the second is greater than the third, much more then is the first greater than the third. (w) If one magnitude is greater than a second and...
Full view - About this book

A Mathematical Solution Book Containing Systematic Solutions to Many of the ...

Benjamin Franklin Finkel - Mathematics - 1888 - 518 pages
...the two lines are equal M r H /f once and only once, viz., when both are equal to the line IK. 16. If of three quantities the first is greater than the second and the second greater than the third, then the first is greater than the third. Thus, if A is greater than B and...
Full view - About this book

Elements of Geometry, Part 1

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...(continuously and indefinitely) while the greater decreases ; they must become equal once and but once. (13.) If of three quantities the first is greater than the second and the second greater than the third, then the first is greater than the third. 12. Def. — Plane Geometry treats...
Full view - About this book

Elements of Geometry, Volume 1

Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...(continuously and indefinitely) while the greater decreases ; they must become equal once and but once. (13.) If of three quantities the first is greater than the second and the second greater than the third, then the first is greater than the third. 12. Def. — Plane Geometry treats...
Full view - About this book

The Elements of Geometry

Henry W. Keigwin - Geometry - 1897 - 254 pages
...the first is equal to the second, or the first is less than the second. (8) Of three quantities, if the first is greater than the second and the second is greater than the third, then the first is greater than the third. 43. A theorem consists of two parts, the hypothesis and the conclusion....
Full view - About this book

Plane Geometry by the Suggestive Method

John Alton Avery - Geometry, Modern - 1903 - 136 pages
...sense. 7. The whole is greater than any of its parts. 8. The whole equals the sum of its parts. 9. If, of three quantities, the first is greater than...and the second is greater than the third, then the first is greater than the third. 10. If the greater of two magnitudes is continuously decreasing, and...
Full view - About this book

Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 553 pages
...opposite int. Z. ). Much more, then, is /.BAG (which ix greater than /s) greater than Z 0, Ax. 12. (if, of three quantities, the first is greater than...third, then the Jirst is greater than the third). QED 105. NOTE. The essential steps of the above proof may be arranged in a single statement, thus:...
Full view - About this book

Plane Geometry

Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...either opposite int. Z ). Much more, then, is /.BAC (which is greater than Zs) greater than ZC, Ax. 12. (if, of three quantities, the first is greater than...and the second is greater than the third, then the first is greater than the third). QED 105. NOTE. The essential steps of the above proof may be arranged...
Full view - About this book

Solid Geometry

Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...11. // unequals be subtracted fr<mi equals, the remainders are unequal in the reverse order, 12. //, of three quantities, the first is greater than the...and the second is greater than the third, then the first is greater than the third. ' . GEOMETRIC AXIOMS. 1. Through two given points only one straight...
Full view - About this book




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