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" IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. "
Examination Papers: Moderations - الصفحة 18
بواسطة University of Oxford - 1879
عرض كامل - لمحة عن هذا الكتاب

The British Annals of Education for ...: Being The Scholastic ..., المجلدات 1-2

1844 - عدد الصفحات: 688
...opposite angles of any quadrilateral inscribed in a circle, are together equal to two right angles. 11. If a straight line touch a circle, and from the point...circle ; the angles which this line makes with the touching line, shall be equal to the angles in the alternate segments. 12. If two triangles have one...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - عدد الصفحات: 338
...be perpendicular to DE ; FC is therefore perpendicular to DE. PROP. XIX. THEOR. If a straight lino touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle is in that line, Let the straight line...

The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - عدد الصفحات: 382
...semicircle is acute, and an angle ma segment less than a semicircle is obtuse. PROP. XXXII. THEOR. — If a straight line touch a circle, and from the point of contact a straight line be drawn dividing the circle into two segments ; the angles made by this line with the tangent are equal to...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - عدد الصفحات: 218
...that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED PROPOSITION XIX. THEOB. — If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. Let the straight...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - عدد الصفحات: 546
...to DE. Therefore, if a straight line, &c. QED PROPOSITION XIX. THEOREM. // a straight line touches a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. Let the straight...

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - عدد الصفحات: 128
...no other line but FC is J_ DE, ie FC J_ DE. Therefore if a str. line, &c. PROP. LIV. THEOR. 19. 3Eu. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. Let str. line...

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - عدد الصفحات: 128
...other line but FC is J_ DE, ie FC J_ DE. Therefore if a str. line, &c. PROP. LIV. THEOR. 19. 3E u. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. Let str. line...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - عدد الصفحات: 292
...that is, FC is perpendicular to DE. Wherefore, If a straight line %c. < i . E. i > . PROP. XIX. THEOR. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. Let the straight...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - عدد الصفحات: 334
...perpendicular to DE ; FC is therefore perpendicular to DE. ELEMENTS PROP. XIX. THEOR. If a straight linf touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle is in that line. Let the straight line...

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - عدد الصفحات: 52
...or in the circumference, which shall touch a given circle. PROP. XVIII. THEOREM. PROP. XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. PROP. XX. THEOREM....




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