| Robert Potts - 1860 - 361 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
...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
...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
...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
...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 - 490 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 - 490 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 - 320 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
...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
...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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