 | Robert Simson - Trigonometry - 1806 - 546 pages
...other case is demonstrated. PROP. V. THEOR. IF one magnitude be the same multiple of another, See N. which a magnitude taken from the first is of a magnitude...of the remainder, that the whole is of the whole. Let the magnitude AB be the same multiple of CD, that AE taken from the first is of CF taken from the... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...also be considered as included in the proposition, and as being the case when w=l. PROP. V. THEOR. IF one magnitude be the same multiple of another which...of a magnitude taken from the other, the remainder is the same multiple of the remainder that the whole is of the whole. Let mA and mE be any equimultiples... | |
 | John Mason Good - 1813 - 714 pages
...fourth. Prop. V. Theor. If one magnitude be the some multiple of another, . which a magnitude taken fioin the first is of a magnitude taken from the other;...shall be the same multiple of the remainder, that the »bole is of the whole. Prop. VI. Theor. If two magnitudes be equimultiple» of two others, and if... | |
 | Euclides - 1816 - 588 pages
...therefore E is to B, so is F to D : And in the same way the other case is demonstrated. PROP. V. THEOR. IF one magnitude be the same multiple of another,...of the remainder, that the whole is of the whole. Let the magnitude AB be the same multiple of CD, that AE taken from the first, is of CF taken from... | |
 | John Mason Good - 1819 - 800 pages
...that of the second, which the equimultiple of the third baa to that of the fourth. Pr«p. V. Theor. If one magnitude be the same multiple of another,...the same multiple of the remainder, that the whole it of the whole. Prop. VI. Theor. If two magnitudes be equimultiples of two others, and if equimultiples... | |
 | John Playfair - 1819 - 354 pages
...also be considered as included in the proposition, and as being the case when n=l. PROP. V. .THEOR. If one magnitude be the same multiple of another,...of a magnitude taken from the other ; the remainder is the same multiple of the remainder, that the whole is of the whole. ' Let mA and mB be any equimultiples... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...also be considered as included in the proposition, and as being the case when n=l. PROP. V. THEOR. If one magnitude be the same multiple of another, which a magnitude taken from thefirst is of a magnitude taken from the other ; the remainder is the same multiple of the remainder,... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...therefore E is to B, so is F to D: and in the same way the other case is demonstrated. PROP. V. THEOR. \ IF one magnitude be the same multiple of another which...of the remainder, that the whole is of the whole. Let the magnitude AB be the same multi- G pie of CD, that AE taken from the first, is of CF taken from... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...V. THEOIl. If one magnitude be the same multiple of another, nhich a magnitude taken from thejirst is of a magnitude taken from the 'other ; the remainder shall be the tame multiple of the remainder, that the whole is of the whole. Let the magnitude AB be the same mnItiple... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...as being the ease when n=i. PROP. V. THEOR. If one magnitude be the same multiple of another, whieh a magnitude taken from the first is of a magnitude taken from the other ; the remainder is the same multiple of the remainder, that the whole is of the whole. Let m A and mB be any equimultiples... | |
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IF one magnitude be the same multiple of another, which a magnitude taken from the first is of a magnitude taken from the other ; the remainder shall be the same multiple of the remainder, that the whole is of the whole. 
