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### ДзмпцйлЮ брпурЬумбфб

УелЯдб 68 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
УелЯдб 127 - Every section of a sphere, made by a plane, is a circle, Let AMB be a section, made by a plane, in the sphere whose centre is C.
УелЯдб 71 - Rectangles of the same altitude are to each other as their bases, and rectangles of the same base are to each other as their altitudes. 245.
УелЯдб 20 - The sum of the three angles of any triangle is equal to two right angles.
УелЯдб xv - The first term of a ratio is called the antecedent, and the second term the consequent.
УелЯдб 83 - ... we suppose the error A to be of any magnitude whatever. 286. Definition. Similar sectors and similar segments are such as correspond to similar arcs. 287. Theorem. Similar sectors are to each other as the squares of their radii. Proof. The similar sectors AOB, A'OB ' (fig. 136) are, by the same reasoning as in t5 97, the same parts of their respective circles, which the angle O= O...
УелЯдб 31 - Theorem. In the same circle, or in equal circles, equal arcs are subtended by equal chords.
УелЯдб 87 - To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line.
УелЯдб 99 - B, from the plane. 320. Theorem. Oblique lines drawn from a point to a plane at equal distances from the perpendicular are equal; and of two oblique lines unequally distant the more remote is the greater.
УелЯдб 78 - Similar triangles are to each other as the squares of their homologous sides. Proof. In the similar .triangles ABC, A'B'C