A Text-book of GeometryGinn, 1888 - 386 σελίδες |
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Αποτελέσματα 1 - 5 από τα 27.
Σελίδα 16
... right . straight . A triangle . A triangles . parallelogram . S parallelograms . Q.E.D .... quod erat demonstrandum , which was to be proved . Q.E.F .... quod erat faciendum , which was to be done . PLANE GEOMETRY . BOOK I. THE STRAIGHT ...
... right . straight . A triangle . A triangles . parallelogram . S parallelograms . Q.E.D .... quod erat demonstrandum , which was to be proved . Q.E.F .... quod erat faciendum , which was to be done . PLANE GEOMETRY . BOOK I. THE STRAIGHT ...
Σελίδα 40
George Albert Wentworth. TRIANGLES . 127. A triangle is a portion of a plane bounded by three straight lines ; as ... Right . Obtuse . AA Acute . Equiangular . 130. A triangle is called , with reference to its angles , a right triangle ...
George Albert Wentworth. TRIANGLES . 127. A triangle is a portion of a plane bounded by three straight lines ; as ... Right . Obtuse . AA Acute . Equiangular . 130. A triangle is called , with reference to its angles , a right triangle ...
Σελίδα 41
... triangle , when its three angles are equal . 131. In a right triangle , the side opposite the right angle is called the hypotenuse , and the other two sides the legs , of the triangle . 132. The side on which a triangle is supposed to ...
... triangle , when its three angles are equal . 131. In a right triangle , the side opposite the right angle is called the hypotenuse , and the other two sides the legs , of the triangle . 132. The side on which a triangle is supposed to ...
Σελίδα 42
... triangle is sub- tracted from two right angles , the remainder is equal to the third angle . 140. COR . 2. If two triangles have two angles of the one equal to two angles of the other , the third angles are equal . 141. COR . 3. If two ...
... triangle is sub- tracted from two right angles , the remainder is equal to the third angle . 140. COR . 2. If two triangles have two angles of the one equal to two angles of the other , the third angles are equal . 141. COR . 3. If two ...
Σελίδα 43
... right angle , or one obtuse angle . 143. COR . 5. In a right triangle the two acute angles are complements of each other . 144. COR . 6. In an equiangular triangle , each angle is one- third of two right angles , or two - thirds of one ...
... right angle , or one obtuse angle . 143. COR . 5. In a right triangle the two acute angles are complements of each other . 144. COR . 6. In an equiangular triangle , each angle is one- third of two right angles , or two - thirds of one ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² acute angle altitude angles are equal apothem base bisector bisects called centre chord circumference circumscribed circumscribed circle coincide decagon diagonal diameter divide Draw equal angles equal respectively equiangular equiangular polygon equidistant equilateral triangle exterior angles feet figure Find the area given circle given line given point given straight line given triangle greater Hence homologous sides hypotenuse inches intersect isosceles trapezoid isosceles triangle legs length line joining measured by arc middle points number of sides parallel parallelogram perimeter perpendicular prove Proof Q. E. D. Ex Q. E. D. PROPOSITION quadrilateral radii ratio rectangle regular inscribed regular polygon rhombus right angle right triangle SCHOLIUM secant segments shortest side similar polygons straight angle subtended tangent THEOREM third side trapezoid triangle ABC triangle is equal vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 44 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 144 - 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. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Σελίδα 130 - 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.
Σελίδα 128 - 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.
Σελίδα 211 - 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.
Σελίδα 157 - 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.
Σελίδα 152 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Σελίδα 187 - ... 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.
Σελίδα 136 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 15 - LET it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3.