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" ... of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth: or, if the multiple of the first be equal to that of the second, the multiple of the third is... "
Lectures on the Principles of Demonstrative Mathematics - Side 96
av Philip Kelland - 1843 - 147 sider
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 sider
...be equal to that of th« second, the multiple of the third is also equal to that of the fourth : or if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. VI. Magnitudes which have the same ratio are called proportionals....
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 sider
...be equal to that of the second, the multiple of the third is also equal to that of the fourth : or, if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. VI. Magnitudes which have the same ratio are called proportionals....
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 sider
...be equal to that of the second, the multiple of the third is also equal to that of the fourth ; or if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. VI Magnitudes which have the same ratio arc called proportionals....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 sider
...be equal to that of the second, the multiple of the third is also equal to that of the fourth : or, if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. JL Magnitudes which have the same ratio are called proportionals....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 sider
...be equal to that of the second, the multiple of the third is also equal to that of the fourth, and if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. 6. Magnitudes which have the same ratio are called proportionals....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 sider
...be equal to that of the second, the multiple of the third is also equal to that of the fourth, and if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. 6. Magnitudes which have the same ratio are called proportionals....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 sider
...be equal to that of the second, the multiple of the third is also equal to that of the fourth: or, if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. VI. Magnitudes which have the same ratio are called proportionals.^...
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A Treatise on Elementary Algebra

James Hamblin Smith - 1869 - 412 sider
...equal to that of the second, the multiple of the third is also equal to that of the fourth : or, " If the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth." We shall now shew, first, how to deduce Euclid's test of the...
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Elementary Algebra

James Hamblin Smith - 1870 - 452 sider
...equal to that of tho second, the multiple of the third is also equal to that of the fourth: or, ..... " If the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth." We shall now shew, first, how to deduce Euclid's test of the...
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Elements of geometry, with ... trigonometry

André Darré - 1872 - 226 sider
...be equal to that of the second, the multiple of the third is also equal to that of the fourth ; or, if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth." THEOREM. 77. If lines which intersect tiro sides of a triangle...
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