Books Books Things which are halves of the same are equal to one another. 8. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. The Elements of Euclid [book 1] for beginners, by J. Lowres - Page 10
by Euclides - 1852 ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...equal to one ' another. VII. Things which are halves of the same thing are equal to one another. VIII. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. IX. The whole is greater than its part. X. All right angles are equal to one another. " Two straight... ## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 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,...exactly fill the same space, are equal to one another. Book I. IX. * •,-.< The whole is greater than its part. X. Two straight lines cannot enclose a space.... ## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 722 pages
...unequal. 6. Things which are double of the same, are equal to one another. 7. Thing-s which are iial-.es of the same, are -equal -to one another, 8. 'Magnitudes...same space, are equal to one another. 9. The whole is greaterthan its part. 10. Two straight lines eaunot inclose a space. 1 1. All .right nnrlt'S arc equal... ## Elements of the Philosophy of the Human Mind, Volume 2

Dugald Stewart - Psychology - 1814 - 564 pages
...K«i T» cQxf/Mfytrtt nr' aAAitA« IT'« «AAi,Ao/.; ttrrt : — thus translated by Dr. Simaon : " Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another." This, in truth, is not an axiom, but a definition. It is the definition of geometrical equality ; the... ## An Introduction to the Use of the Globes ... 3. Ed. Corr. and Enl

John Greig - 1816 - 224 pages
...to unequals, the whole are unequal. 5. If equals be taken from unequals, the remainder are unequal. 6. Things which are double of the same, are equal...another. 9. The whole is greater than its part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another. 3. GEOMETRICAL... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 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,...exactly fill the same space, are equal to one another. BouK I. Because the point B is the centre of the circle CGH, \j~v~j!"y BC is equal* to BG; and because... ## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 740 pages
...which are lulvej of the same, are equal to one another. Ь. Magnitudes which coincide withoneanotber, that is, which exactly fill the same space, are equal...another. 9. The whole is greater than its part. 10. Two straight lines cannot inciose a »pace. 1 1. All right angles are equal to one auother. IÍ. "If a... ## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...equal to one another. VII. Things which are halves of the same thing, are equal to one another. VIII. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. IX. The whole is greater than its part. 3 X. All right angles are equal to one another. XI. " Two straight... ## Elements of the Philosophy of the Human Mind, Volume 2

Dugald Stewart - Psychology - 1821 - 350 pages
...w*£u'.Ç'*vrî «»' лллих» lea яллялмс tm : — thus translated by Dr. Simson ; " Magnituui's which coincide with one another, that is, which exactly...fill the same " space, are equal to one another." This, in truth, is not an axiom, but a definition. It is the definition of geometrical equality ; the... 