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" If four straight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means. "
The Contents of the Fifth and Sixth Books of Euclid - Side 80
av Euclid, Micaiah John Muller Hill - 1900 - 143 sider
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 sider
...tT TM~ T7 yf T* & El Ei J^JU-UJyiiiiNio PROP. XVI. THEOR. TF four flraight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the meansi and if the rectangle contained by the extremes be equal to the rectangle contained by the...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 sider
...e 9. D. PROP. Book VI. it PROP. XVI. THE OR. TF four ftraight lines be proportionals, the re&angle contained by the extremes is equal to the rectangle contained by the means : And if the rectangle contained by the extremes be equal to the rectangle contained by the means,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 534 sider
...triangles, &c. Q^. ED Book V7. »>, ?, ji-. i4' e PROP. XVI. THE ORIF four ftraight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means. and if the rectangle contained by the extremes be equal to the reclangle contained by the means, the...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - 324 sider
...proportional, are equal. Which was to be demonftrated. PROP. XVI. If four ftraight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means: and if the rectangle contained by the extremes be equal to the rectangle contained by the means, the...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 sider
...equal triangles, &.c. Q^ED c i.6. e 9. 5. PROP. XVI. THEOR. IF four flraight lines be proportionals, the recT:angle contained by the extremes is equal to the rectangle contained by the means : And if the reelangle contained by the extremes be equal to therectangle contained by the means, the...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 sider
...triangles, &c. Q^ED *. ii. i. t. 7. C. 14. 6. PROP. XVI. THEOR. IF four ftraight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle Contained by the means. and if the rectangle contained by the extremes be equal to the rectangle contained by the means, the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 sider
...triangle EAD. Therefore, equal triangles, &c. QED PROP. XVI. THEOR. *•* *f* IF four straight lines be proportional, the rectangle contained by the extremes is equal to the rectangle contained by the means ; and if the rectangle contained by the extremes be equal to the rectangle contained by the means,...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813 - 714 sider
...proportional, are equal to one 'an. other. Prop. XVI. Theor. If .four straight lines be pro. portionals, I he rectangle contained by the extremes is equal to the rectangle contained by the means: and if the rectangle contained by the extremes be equal to the rectangle contained by the means, the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 sider
...Therefore equal triangles, &c. QED BooK VI. ^^ PROP. XVI. THEOR. IF four straight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means : And if the rectangle contained by the extremes be equal to the rectangle contained by the means,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 sider
...EAD. Therefore equal triangles, &c. Q, ED PROP; XVI. THEOR. If four straight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the. means : .3nd if the rectangle contained by the extremes be equal to the rectangle contained by means, the...
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