 | John Playfair - Geometry - 1855 - 334 pages
...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... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...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... | |
 | War office - 1858 - 578 pages
...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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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... | |
 | Euclides - 1860 - 288 pages
...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... | |
 | Euclides - 1861 - 464 pages
...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... | |
 | Euclides - 1862 - 140 pages
...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... | |
 | Euclides - 1862 - 172 pages
...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... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...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... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...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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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... 
