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" To draw a straight line from a given point, either without or in the circumference, which shall touch a given circle. First, let A be a given point without the given circle BCD : it is required to draw a straight line from A which shall touch the circle. "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Página 72
por John Playfair - 1855 - 318 páginas
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 páginas
...perpendicular to the same diameter, and have their points of contact at its extremities. PROP. XVII. PROB. i To draw a straight line from a given point either...straight line from A which shall touch the circle. Find (1.3.) the centre E of the circle, and join AE ; and from the centre E, at the distance EA, describe...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 páginas
...DG, ie, less > greater, which shows the supposition to be false. PROPOSITION XVII. Problem. To drawn a straight line from a given point, either without...the circumference, which shall touch a given circle. Part 1st. To draw a tangent to Q BCD, from point without it. Steps of the Demonstration. {base DF =...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 390 páginas
...point, either without a given circle, or in its circumference, to draw a straight line touching the circle. First, let A be a given point without the given circle BCD; it is required to draw from A a straight line touching the circle. Find (III. 1.) E the centre of the circle, and draw AE...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...can be but one straight line which touches the circle in the same point. PROPOSITION XVII. PROBLEM. To draw a straight line from a given point, either without or in the circumference, which shall be a tangent to a given circle. it is required to draw a straight line from A which shall be a tangent...
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The Elements of Euclid

Euclid - 1838 - 416 páginas
...there can be but one straight line which touches the circle in the same point.' t PROP. XVII. PROS. To draw a straight line from a given point, either...straight line from A which shall touch the circle. A Find (1. 3.) the centre E of the circle, and join AE; and from the centre E, at the distance EA,...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...that there can be but one straight line which touches the circle in the same point. PROP. XVII. PROS. To draw a straight line from a given point, either...straight line from A which shall touch the circle. ., s Find* the centre E of the circle, and draw AE cutting the circle in D ; and from the centre E,...
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The Elements of Euclid

Euclid - 1838 - 416 páginas
...that there can be but one straight line which touches the circle in the same point.' PROP. XVII. PROB. To draw a straight line from a given point, either...the circumference, which shall touch a given circle. BOOK III. THE ELEMENTS OF EUCLID. A Find (1. 3.) ftie centre E of the circle, and join AE; and from...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 páginas
...that there can be but one straight line which touches the circle in the same point." PROP. XVII. PROB. To draw a straight line from a given point, either...straight line from A, which shall touch the circle. Find* E the centre of the circle, and draw AE, cut- * 1.3. ting the circle in D; and from the centre E, at...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...point.' PROP. XVII. РКОБ. To draw a straight line from a given point, either on the exterior of, or in the circumference, which shall touch a given circle. First, let A be a given point on the exterior of the given circle BCD: it is required to draw a straight line from A which shall...
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The British Annals of Education for ...: Being The Scholastic ..., Volumen1

1844
...other part. 8. If two circles touch one another internally, they shall not have the same centre. 9. Draw a straight line from a given point, either without...the circumference, which shall touch a given circle. 1 0. Similar segments of circles on equal straight lines are equal to one another. 11. In equal circles...
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