A Text-book of GeometryGinn, 1890 - 437 էջ |
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ABCD acute angle adjacent angles altitude angle formed angles are equal base bisector bisects called centre chord circumference circumscribed coincide diagonals diameter divide draw equal angles equal respectively equiangular equiangular polygon equidistant equilateral triangle exterior angle feet figure Find the area given circle given line given point given straight line given triangle greater Hence homologous sides hypotenuse inches inscribed intersecting isosceles trapezoid isosceles triangle legs length line drawn line joining middle point number of sides obtuse parallel parallelogram perimeter perpendicular plane PROBLEM prove Proof Q. E. D. Ex Q. E. D. PROPOSITION quadrilateral radii ratio rectangle reflex angle regular polygon rhombus right angle right triangle SCHOLIUM secant segments similar polygons straight angle tangent THEOREM third side trapezoid triangle ABC triangle is equal vertex vertices
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Էջ 14 - If two triangles have two sides of one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second...
Էջ 149 - The area of a rectangle is equal to the product of its base and altitude.
Էջ 153 - Two triangles having 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.
Էջ 32 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Էջ 100 - If four quantities are in proportion, they are in proportion by composition; that is, the sum of the first two terms is to the second term as the sum of the last two terms is to the fourth term.
Էջ 124 - The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.
Էջ 127 - 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 diminished by twice the product of one of those sides and the projection of the other upon that side.
Էջ 98 - If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means.
Էջ 157 - The square constructed upon the sum of two straight lines is equivalent to the sum of the squares constructed upon these two lines, increased by twice the rectangle of these lines.
Էջ 157 - ... upon the sum of two straight lines is equivalent to the sum of the squares described on the two lines plus twice their rectangle. Note. By the "rectangle of two lines" is here meant the rectangle of which the two lines are the adjacent sides.