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. 9. The whole is greater than its part. 10. Two straight lines cannot enclose...
Elements of Geometry: With Practical Applications, for the Use of Schools - Page xiv
by Timothy Walker - 1829 - 129 pages

## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...unequals, the remainders are unequal. 7. Thitigs which are halves of the same are equal to one another. S. Magnitudes which coincide with one another, that is,...greater than its part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another, 12. If a straight line meets two straight...

## The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...tho elements, namely, " Magnitudes which are equal coincide with one another when similarly placed." 9. The whole is greater than its part. 10. Two straight lines cannot enclose a space. SCHOLIUM. This axiom may bo otherwise expressed, namely, "If two straight lines coincide...

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

John Playfair - Euclid's Elements - 1855 - 340 pages
...doubles of the same thing, are equal to one another. 7. Things which are halves of the same thing, are equal to one another. 8. Magnitudes which coincide...one another. 9. The whole is greater than its part. 1 0. All right angles are equal to one another. 11." Two straight lines which intersect one another,...

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

Euclides - 1858 - 248 pages
...proof to the senses ; the other, though only conceived to be done, being demonstration to the mind. 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. This may be illustrated by supposing...

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

Euclides - 1862 - 140 pages
...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....cannot inclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight lines, so as to make the two interior angles...

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

Euclides - 1863 - 122 pages
...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. j 11. All right angles are equal to one another. | 10. Two straight lines cannot enclose a space to...

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

Euclides - 1863 - 74 pages
...actually performed, is the proof to the senses ; when only conceived of, demonstration to the mind. 9. The whole is greater than its part. 10. Two straight lines cannot enclose a space. 1 1 . All right angles are equal to one another. This may be illustrated by supposing...

## An English primer; compiled under the superintendence of E.C. Lowe

Edward Clarke Lowe - 1866 - 172 pages
...line. 3. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. 1. Things which are equal to the same thing are equal...greater than its part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another. 12. If a straight line meets two straight...