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" ... be equimultiples, the one of the second, and the other of the fourth. Let A the first be the same multiple of B the second, that C the third is of D the fourth ; and of A, C let equimultiples EF, GH be taken. "
The First Six Books of the Elements of Euclid, with a Commentary and ... - Σελίδα 104
των Euclid, Dionysius Lardner - 1828 - 324 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 σελίδες
...one of the fecond, and the other of the fourth. Let A the firft be the fame multiple of B the fecond, that C the third is of D the fourth ; and of A, C let the equimultiples EF, GH be taken. then EF is the fame multiple of B, that GH is of D. Becaufe EF is...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...of the fecond, and the other of the fourth. i Let A the firft be the fame multiple of B the fecond, that C the third is of D the fourth ; and of A, C let the equimultiples EF, GH be taken. then EF is the fame multiple of B, that GH is of D. Becaufe EF is...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 σελίδες
...equimultiples, these shall be equimultiples, the one of the second, and the other of the fourth. < Let A the first, be the same multiple of B the second,...that C the third is of D the fourth ; and of A, C let the equimultiples EF, GH be taken ; then EF is the same multiple of B, that GH is of D. Because EF...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 σελίδες
...third is of the fourth; the first is to the second, as the third is to the fourth. A E Let the first A be the same multiple of B the second, that C the third is of the fourth D: A is to B as C is to D. Take of A and C any equimultiples whatever E and F; and of B...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 σελίδες
...third is of the fourth ; the first is to the second, as the third is to the fourth. Let the first A be the same multiple of B the second, that C the third is of the fourth D : A is to B as C is to D. Take of A and C any equimultiples whatever E and F; and of B...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...that С the third U of D the fourth; and of A, C let the equimultiples EF, GH be taken : Then EF is the same multiple of B, that GH is of D. Because EF is the fame multiple of A, that GH it of C, there are as many magnitudes in EF equal to A, H ь J ¿ as are...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...taken equimultiples, these shall be equimultiples, the one of the second, and the other of Ihe fourth. Let A the first be the same multiple of B the second,...is of D. Because EF is the same multiple of A, that Gil is of C, there are as many magnitudes in EF equal to A, as there are in GH equal to C; let EF be...

The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 513 σελίδες
...that C the third is of D the fourth ; and of A, C let the equimultiples EF, GH be taken; then will EF be the same multiple of B, that GH is of D. Because...is the same multiple of A, that GH is of C, there will be as many magnitudes in EF equal to A, as are in GH equal to C : Let EF be divided into the magnitudes...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 σελίδες
...third is of the fourth ; the first is to the second, as the third is to the fourth. Let the first A be the same multiple of B the second, that C the third is of the fourth D; then A is to B as C is to D. For, of A and C take any equimultiples whatever E and F...

The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 σελίδες
...third is of the fourth ; the first is to the second, as the third is to the fourth. Let the first A be the same multiple of B the second, that C the third is of D the fourth ; then A : B : : C : D. Take of A and C any like multiples whatever E and F; and of B and D any like...




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