Plane and Solid GeometryAmerican Book Company, 1899 - 384 σελίδες |
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Σελίδα 28
... Corresponding Angles . Angles r and w , s and x , t and y , or v and z , are corresponding angles . Corresponding angles are also called Exterior Interior Angles . 70. Ax . 13. Through a given point but one straight line can be drawn ...
... Corresponding Angles . Angles r and w , s and x , t and y , or v and z , are corresponding angles . Corresponding angles are also called Exterior Interior Angles . 70. Ax . 13. Through a given point but one straight line can be drawn ...
Σελίδα 32
... corresponding angles . How do the angles of any pair compare in size ? Theorem . If two parallel straight lines are cut by a transversal , the corresponding angles are equal . Data : Any two parallel straight lines , as AB and CD , cut ...
... corresponding angles . How do the angles of any pair compare in size ? Theorem . If two parallel straight lines are cut by a transversal , the corresponding angles are equal . Data : Any two parallel straight lines , as AB and CD , cut ...
Σελίδα 35
... the vertex , how does it divide the supplementary adjacent angle formed by producing one side of the given angle through the vertex ? Proposition XVI 81. 1. Construct two angles whose corresponding sides PLANE GEOMETRY . - BOOK I. 35.
... the vertex , how does it divide the supplementary adjacent angle formed by producing one side of the given angle through the vertex ? Proposition XVI 81. 1. Construct two angles whose corresponding sides PLANE GEOMETRY . - BOOK I. 35.
Σελίδα 36
William James Milne. Proposition XVI 81. 1. Construct two angles whose corresponding sides are parallel . How do the angles compare in size , if both corresponding pairs of sides extend in the same direction from their vertices ? If both ...
William James Milne. Proposition XVI 81. 1. Construct two angles whose corresponding sides are parallel . How do the angles compare in size , if both corresponding pairs of sides extend in the same direction from their vertices ? If both ...
Σελίδα 37
... corresponding sides are perpen- dicular to each other are either equal or supplementary . Data : AB perpendicular to DB , and CE perpendicular to FB , forming the angles r , s , and t . To prove 1 . Lr = Ls . 2. Zt and s supplementary ...
... corresponding sides are perpen- dicular to each other are either equal or supplementary . Data : AB perpendicular to DB , and CE perpendicular to FB , forming the angles r , s , and t . To prove 1 . Lr = Ls . 2. Zt and s supplementary ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angle formed angles are equal angles compare apothem arc intercepted base bisector bisects called central angle chord circle whose center circumference circumscribed compare in length Construct a triangle cylinder Data diagonals diameter dihedral angles distance divided equal circles equidistant equilateral triangle equivalent exterior angle extremities FGHJK Find the locus frustum given line given point given straight line Hence homologous sides hypotenuse inscribed angle intersecting isosceles trapezoid isosceles triangle measured by arc middle point number of sides opposite sides parallel lines parallelogram parallelopiped pass perimeter perpendicular plane polyhedron prism produced Proof prove pyramid Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular polygon respectively rhombus right angle right triangle secant segments sphere spherical triangle subtended surface tangent Theorem transversal trapezoid triangle ABC triangles are equal trihedral vertex vertical angle volume
Δημοφιλή αποσπάσματα
Σελίδα 67 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Σελίδα 47 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 64 - From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...
Σελίδα 33 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles.
Σελίδα 219 - 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 217 - The. sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles.
Σελίδα 136 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Σελίδα 90 - In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal.
Σελίδα 374 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Σελίδα 176 - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.