## A Treatise on Special Or Elementary GeometrySheldon, 1872 - 201 pages |

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### Common terms and phrases

ABCD adjacent adjacent angles altitude angles equal apothem axis base and altitude bisect centre chord circle whose radius circumference coincide conceive cone cylinder DEM.-If diagonals diameter dicular diedral distance dividers draw drawn edge equal angles equally distant equilateral equivalent exterior angle facial angles fall figure frustum given line given point greater Hence homologous sides inches included angle inscribed inscribed angle intersect isosceles lune measured number of sides oblique lines opposite parallel parallelogram parallelopiped passing pendicular perpen perpendicular plane MN prism Prob Prob.-To produced PROP proportional pyramid Q. E. D. PROPOSITION quadrilateral radii rectangle regular polygon revolve right angled triangle S-ABC secant secant line similar slant height sphere spherical angle spherical triangle square straight line take the direction tangent Theorem.-The area triangle ABC triedral vertex vertices whence

### Popular passages

Page 217 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.

Page 109 - If the diagonals of a parallelogram are equal, the figure is a rectangle.

Page 72 - Dn the same side of the secant line is equal to two right angles, the two lines are parallel.

Page 33 - ... two, or equal to the difference ? Ex. 5. If you have two triangles with only one side and one angle in the one equal to one Side and one angle in the other, can y^ou apply one as a pattern and make it fit on the other ? Cut out two such triangles and try it. Ex. 6. If you have two triangles with only two sides of one respectively equal to two sides of the other, can you make one fit as a pattern on the other ? Try it. Ex. 7. If you have two triangles with two sides in one equal respectively to...

Page 136 - Theorem — Two triangles are equal when the three sides of the one are respectively equal to the three sides of the other.

Page 125 - If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third sides are unequal, and the greater third side belongs to the triangle having the greater included angle.

Page 69 - If two lines are cut by a third, and the sum of the interior angles on the same side of the cutting line is less than two right angles, the lines will meet on that side when sufficiently produced.

Page 2 - LEMMA 4. — A common divisor of two numbers is a divisor of their sum and also of their difference.