| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| Benjamin Greenleaf - 1863 - 504 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... | |
| Euclides - 1864 - 448 sider
...circle is in the line which bisects the other. PROPOSITION II. THEOREM. If any two points be tahen in the circumference of a circle, the straight line...which joins them shall fall within the circle. Let AB C be a circle, and A, B any two points in the circumference. Then the straight line drawn from A... | |
| Euclides - 1864 - 262 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 circle, the straight line which joint them shall fall within the circle, Let ABCbe a circle, and A, B any two points in the circumference.... | |
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