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

Euclides - 1816 - 528 páginas
...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...it is required to draw a straight line from A which Btiolt HI. shall touch the circle. .»"v^> Find* the 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 ...

Euclid, Robert Simson - 1821 - 516 páginas
...of a circle from the exstraight 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 (I. 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 Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 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 the given circle BCD ; it is required to draw a stra . lit line from A which shall touch the circle. Because E is the centre of the circles BCD, AFG,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 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...line from A •which shall touch the circle. Find * the centre E of the circle, and join AE ; and * 1. 3. from the centre E, at the distance EA, describe...
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Elements of geometry: Being chiefly a selection from Playfair's geometry

John Playfair - 1829 - 186 páginas
...circle, and meets it only in A. Therefore, a straight line &c. QED . ED. PROPOSITION XVII. PROBLEM. To draw a straight line from a given point, either...the circumference, which shall touch a given circle. That is, to draw a tangent to a circle. First, let A be a given point without the given circle BCD;...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...XVII. PROR. — To draw a straight line from a given point, cither without or in the circumfcrencc, which shall touch a given circle. First, let A be...straight line from A, which shall touch the circle. Find * the centre E of the circle, and join AE ; and from • I. 3. the centre E, at the distance EA, describe...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - 1835 - 513 páginas
...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...required to draw a straight line from A which shall touch Book III. the circle. .v>— •v™-' Find" the centre E of the circle, and join AE: and from a 1....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 páginas
...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...Let A be a given point without the given circle BCD ; A it is required to draw a straight line from A which shall touch the circle. Find* the centre E...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 335 páginas
...another upon one side of it are either two right angles, or are together equal to two right angles. 1 5. Draw a straight line from a given point either without...the circumference which shall touch a given circle. 16. If the sides of a rectangle be a and b, what is meant by saying that the rectangle = ab ? Illustrate...
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The Element of Geometry

John Playfair - 1836 - 114 páginas
...that any other straight line through D, except BC, will cut the circumference. QED PROF. IX. THEOR. To draw a straight line from a given point, either...without or in the circumference, which shall touch agiven circle. First, Let A be a given point without the given circle BCD ; it is required to draw...
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