Elements of geometry, with ... trigonometry

Front Cover
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Other editions - View all

Common terms and phrases

Popular passages

Page 64 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth : or...
Page 14 - Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Page 64 - ... and any equimultiples whatsoever of the second and fourth, if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth : or, if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth...
Page 108 - The area of a triangle is equal to half the product of its base by its altitude.
Page 92 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 73 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Page 105 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Page 72 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 60 - The square described on a straight line drawn from one of the angles at the base of a triangle to the middle point of the opposite side, is equal to the sum or difference of the square...
Page 108 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.

Bibliographic information