Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. "
An essay on mechanical geometry, explanatory of a set of models - Page 11
by Benjamin Donne - 1796
Full view - About this book

Elements of Mental Philosophy: Embracing the Two Departments of ..., Volume 1

Thomas Cogswell Upham - Ethics - 1857 - 474 pages
...the same are equal to one another ; Things which are halves of the same are equal to one another ; Magnitudes which coincide with one another (that is, which exactly fill the same space) are equal to one another, &c. It will be admitted (and we shall see it perhaps more clearly...
Full view - About this book

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...to one II. The Five Axioms, which apply especially to magnitude, are peculiarly Axioms of Geometry : 8. Magnitudes which coincide with one another, — that is, which exactly fill the same space, — are equal. "This Axiom is properly the definition of Geometrical equality." We prove...
Full view - About this book

The Train, Volume 5

1858 - 402 pages
...Marvels" is equal to Mrs. Stowe's "Memories," and the total equivalent to a whole calf's head. VIH. Magnitudes which coincide with one another, that is, which exactly fill the same space, are eqnal to one another, thus—two booby lords, or magnitudes, which coincide in the...
Full view - About this book

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

Euclides - 1860 - 288 pages
...which are double of the same, are equal. . -,3 7. Things which are halves of the same, are equal. -. , 8. Magnitudes which coincide with one another — that is, which exactly fill the same space — are equal to one another. 'iq 10 9. The whole is greater than its part. . •.: 10....
Full view - About this book

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...In this manner we form our idea of equality, which is thus formally stated in the eighth axiom : " Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another." Every specific definition is referred to this universal principle....
Full view - About this book

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...Things which are double of the same are equal to one another. 7. Things which are halves of the same are equal to one another. 8. Magnitudes which coincide with one another, that is, wliich exactly fill the same space, are equal to one another. 9. The whole is greater than its part....
Full view - About this book

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...are equal to one another. VII. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. IX. The whole is greater than its part. X. Two straight lines...
Full view - About this book

The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 pages
...Things which are halves of the same, are equal to one another. 6. Things which are double of the same, are equal to one another. 8. Magnitudes which coincide with one another, that which is exactly fill the same space, are equal to one another. 9. The whole is greater than its part....
Full view - About this book

Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 pages
...another. II. The Five Axioms, which apply especially to magnitude^ are peculiarly AXIOMS OF GEOMETBT: 8. Magnitudes which coincide with one another, — that is, which exactly fill the same space, — are equal. " This Axiom is properly the definition of Geometrical equality." If all...
Full view - About this book

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...same, are equal to one another. vn. Things which are halves of the same, are equal to one another. vin. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. IX. The whole is greater than its part. X. Two straight lines...
Full view - About this book




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