Elements of Geometry and Trigonometry

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A. S. Barnes and Company;New York, 1839 - 269 halaman
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Halaman 19 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Halaman 232 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Halaman 11 - A right-angled triangle is one which has a right angle. The side opposite the right angle is called the hypothenuse.
Halaman 168 - The radius of a sphere is a straight line drawn from the centre to any point of the surface ; the diameter or axis is a line passing through this centre, and terminated on both sides by the surface.
Halaman 31 - Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon...
Halaman 18 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Halaman 20 - In an isosceles triangle the angles opposite the equal sides are equal.
Halaman 86 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Halaman 159 - S-ahc be the smaller : and suppose Aa to be the altitude of a prism, which having ABC for its base, is equal to their difference. Divide the altitude AT into equal parts Ax, xy, yz, &c. each less than Aa, and let k be one of those parts ; through the points of division...
Halaman 64 - To inscribe a circle in a given triangle. Let ABC be the given triangle. Bisect the angles A and B by the lines AO and BO, meeting at the point 0.

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