## Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., Enl |

### From inside the book

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Page 240

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**SPHERICAL TRIGONOMETRY**. PROP . I. If a sphere be cut by a plane through the centre , the section is a circle , having the same centre with the sphere , and equal to the circle by ...**spherical triangle**is a figure , upon the ELEMENTS ... Page 241

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**spherical triangle**is a figure , upon the superficies of a sphere , com- prehended by three arcs of three great circles , each of which is less than a semicircle . PROP . II . The are of a ...**spherical triangle**is a figure, upon the ... Page 243

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**spherical triangles**the angles at the base are equal . Let ABC be a**spherical triangle**, having the side AB equal to the side AC ; the spherical angles ABC and ACB are equal . Let C be the centre of the sphere ; join DB , DC , DA , and ... Page 244

... triangle be equal , the triangle is isosceles . Let ABC be a

... triangle be equal , the triangle is isosceles . Let ABC be a

**spherical triangle**having the angles ABC , ACB equal to one another ; the sides AC and AB are also equal . Let D be the centre of the ... sphere ; join 244**SPHERICAL TRIGONOMETRY**. Page 245

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**spherical triangle**are less than the circumference of a great circle . Let ABC be a**spherical triangle**as before , the three sides AB , BC , AC are less than the circumference of a great circle . Let D be the centre of the sphere : The ...### Other editions - View all

### Common terms and phrases

ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore