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" IF two circles touch each other externally, the straight line which joins their centres shall pass through the point of contact. "
Annual Report - Seite 77
von Canada. Topographical and Air Survey Bureau - 1908
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...pass through it. Therefore, if two circles, &c. QED PROP. XII. THEOR. IF two circles touch each other externally, the straight line which joins their centres shall pass through the point of contact. Let the two circles ABC, ADE touch each other externally in the point A ; and let F be the centre of...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813 - 714 Seiten
...produced shall pass through the point of contact. Prop. XII. Theor. If two circles touch each other externally, the straight line which joins their centres shall pass through the point of contact. Prop. XIII. Theor. One circle cannot touch another in more points than one, whether it louches it on...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...pass through it. Therefore, if two circles, &c. QED PROP. XII. THEOR. IF two circles touch each other externally, the straight line which joins their centres, shall pass through the point of contact. Let the two circles ABC, ADE, touch each other.externally in the point A ; and let F be the centre...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 Seiten
...through it Therefore, if two circles, &c. QED Proposition XII. Theorem. If two circles touch each other externally, the straight line which joins their centres, shall pass through the point of contact Let the two circles ABC ADE touch each other externally in the point A ; and let F be the centre of...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 Seiten
...it. Therefore, if two circles, &c. QED « 20. 1. PROP. XII. THEOR. If two circles touch each other externally, the straight line which joins their centres, shall pass through the point of contact. Let the two circles ABC, ADE, touch each other externally in the point A ; and let F be the centre...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 168 Seiten
...distance equal to the distance between the extremities of the proposed radius. COR. 7- If two spheres touch one another externally, the straight line which...centres shall pass through the point , of contact. For it is one of the points through which the straight line tlNTERc.10. described as by Prop. IX, passes....
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 Seiten
...point A ; that is, it must pass through A. "PROPOSITION XII. THEOREM. If two circles ^touch each other externally, the straight line which joins their centres shall pass through the point of contact. Let the two circles ABC, ADE, touch each other externally in the point A ; and let F be the centre...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 Seiten
...must pass through A. PROPOSITION XII. (Argument ad absurdum). Theorem. If two circles touch each other externally, the straight line which joins their centres shall pass through the | ..-."I--.. IE point of contact. Prove that the supposition, that the line joining the centres passes...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 Seiten
...pass through it. Therefore, if two circles, &c. QED PROP. XII. THEOR. If two circles touch each other externally, the straight line which joins their centres shall pass through the point of contact. Let the two circles ABC, ADE, touch each other externally in the point A ; and let F be the centre...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 Seiten
...pass through it. Therefore, if two circles, &c. QED PROP. XII. THEOR. IF two circles touch each other externally, the straight line which joins their centres shall pass through the point of contact. Let the two circles ABC, ADE touch each other externally in the point A ; and let F be the centre of...
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