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" Ir any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle. Let ABC be a circle, and A, B any two points in the circumference ; the straight line drawn from A to B shall fall within the... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 67
av Euclid - 1810 - 518 sider
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 334 sider
...right angles, the centre of the circle is in the line which bisects the other. PROP. II. THEOR. If any two points be taken in the circumference of a circle, the straight ling which joins them shall fall within the circle. Let ABC be a circle, and A, B any two points in...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 sider
...line which is made up of the half and the part produced. Prove this proposition algebraically. 6. If any two points be taken in the circumference of a circle, the right line which joins them shall fall within the circle. Shew that if in a circle a straight line...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 sider
...makes only 81. 2s. on the whole. Find the number of gallons, and the price per gallon. Euclid. 1. If any two points be taken in the circumference of a...line which joins them shall fall within the circle. 2. If two straight lines cut one another within a circle the rectangle contained by the segments of...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 sider
...angles, the center of the circle is in the line which bisects the other. PROPOSITION II. THEOREM. If any two points be taken in the circumference of a...which joins them shall fall within the circle. Let A BC be a circle, and A, B any two points in the circumference. Then the straight line drawn from A...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 sider
...within the circle. Given a circle ABC, and A, B any two points in the circumference ; to prove that the straight line drawn from A to B shall fall within the circle. (Const.) Take any point in AB as E; find D the centre of the circle ABC ; join AD, DB, and DE, and...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 sider
...possessing the circular form will have its centre found in the saтe way. PROP. 2. — ТНEOK. If any two points be taken in the circumference of a...line which joins them shall fall within the circle. CON. 1, Ш. Pst. l & 2. DEM. Def. 15, I. 5, I. The angles at the base of an isose. д are equal to...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 sider
...angles, the centre of the circle is in the line which bisects the other. PROPOSITION 2.— THEOREM. If any two points be taken in the circumference of a...line which joins them shall fall within the circle. (References— Prop. I. 5, 16, 19; III. 1.) Hypothesis. — Let ABC be a circle, and A and B any two...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 sider
...angles, the centre of the circle is in the line which bisects the other. * PROP. II.— THEOREM. If any two points be taken in the circumference of a...circle, the straight line which joins them shall fall toithin the circle. (References— Prop. i. 5, 16, 19 ; in. 1.) Let ABC be a circle, and A, B, any...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 638 sider
...of proportional magnitudes, the quotients of the corresponding terms will be proportionals. 14. If any two points be taken in the circumference of a circle, the straight line joining them will lie wholly within the circle. 15. The diameter is the longest straight line that...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 518 sider
...of proportional magnitudes, the quotients of the corresponding terms will be proportionals. 14. If any two points be taken in the circumference of a circle, the straight line joining them will lie wholly within the circle. 15. The diameter is the longest straight line that...
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