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" Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals... "
Euclid's plane geometry, practically applied; book i, with explanatory notes ... - Página 17
por Euclides - 1863
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 páginas
...thing, are equal to one another. Also, things which are equal to equal things, are equal to one another. 2. If equals be added to equals, the wholes are equal....equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the...
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A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - 1851 - 826 páginas
...how it is to be done. AXIOMS. 1. Things which are equal to the same thing, are equal to one another. 2. If equals be added to equals, the wholes are equal....4. If equals be added to unequals, the wholes are equals. 5. If equals be taken from unequals, the remainders are unequals. 6. Things which are double...
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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852 - 48 páginas
...from that centre as radius. AXIOMS. 1. Things which are equal to the same, are equal to one another. 2. If equals be added to equals, the wholes are equal....equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. ф 6. Things which are double of the...
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The Elements of Euclid: With Many Additional Propositions ..., Parte1

Euclid - 1853 - 176 páginas
...in the Elements under the form, " Magnitudes which are equal to equals are cqxial to one another." 2. If equals be added to equals, the wholes are equal....equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Magnitudes which are double of...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 páginas
...distance from that centre. AXIOMS. 1. Things which are equal to the same are equal to one another. 2. If equals be added to equals, the wholes are equal....equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 7. Thitigs which are halves of the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 336 páginas
...THINGS which are equal to the same thing are equal to one another. 2. If equals be added to squals, the wholes are equal. 3. If equals be taken from equals,...equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequaI. S. Things which are doubles of the...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 páginas
...COMMON NOTIONS. They are — 1. Things which are equal to the same thing, are equal to one another. 2. If equals be added to equals, the wholes are equal....equals be added to unequals, the wholes are unequal. 5. If equals be takea from unequals, the remainders are unequal. 6. Things which are double of the...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 páginas
...in the El'tments under the form, " Magnitudes which are equal to equal's are equal to one another.'1 2. If equals be added to equals, the wholes are equal....equal. 4. If equals be added to unequals, the wholes arc unequal. 5. If equals be taken from unequals, the remainders arc unequal. 6. Magnitudes which are...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 páginas
...are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes arc equal. 3. If equals be taken from equals, the remainders...equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 páginas
...length in a straight line. AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals the wholes are equal....equals be added to unequals the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. 6. Things which are double of the same...
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