Plane and Solid GeometryAmerican Book Company, 1899 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 24
... respectively . How many degrees are there in the fifth angle ? Ex . 9. If two lines meet a third line at the same point , making with the third line angles of 27 ° and 63 ° respectively , what is the angle between the two lines ...
... respectively . How many degrees are there in the fifth angle ? Ex . 9. If two lines meet a third line at the same point , making with the third line angles of 27 ° and 63 ° respectively , what is the angle between the two lines ...
Σελίδα 33
... respectively ; angle EHD = 38 ° . What must be the value of the angle EGB in order that AB and CD may be parallel ? Ex . 23. A transversal cutting two parallel lines makes an interior angle of 50 ° . What is the value of the other ...
... respectively ; angle EHD = 38 ° . What must be the value of the angle EGB in order that AB and CD may be parallel ? Ex . 23. A transversal cutting two parallel lines makes an interior angle of 50 ° . What is the value of the other ...
Σελίδα 34
... respectively , by EF ; ZBGF = 123 ° , and △ GHD = 62 ° . Are the lines AB and CD parallel ? Ex . 28. If two lines are cut by a transversal and the sum of the two exterior angles on the same side of the transversal is equal to 180 ...
... respectively , by EF ; ZBGF = 123 ° , and △ GHD = 62 ° . Are the lines AB and CD parallel ? Ex . 28. If two lines are cut by a transversal and the sum of the two exterior angles on the same side of the transversal is equal to 180 ...
Σελίδα 53
... respectively . How do AC and AB compare in length ? AB and BC ? AC and BC ? Ex . 79. CD bisects the base of an isosceles triangle ABC , a base angle of which is 55 ° . How many degrees are there in angle ADC ? In angle CDB ? In angle ...
... respectively . How do AC and AB compare in length ? AB and BC ? AC and BC ? Ex . 79. CD bisects the base of an isosceles triangle ABC , a base angle of which is 55 ° . How many degrees are there in angle ADC ? In angle CDB ? In angle ...
Σελίδα 59
... respectively . Then , § 26 , Zrands are rt . s . In the rt . A BEF and BGF , BF is common , and , data , .. § 123 , and , § 108 , FE = FG ; ΔΒΕF = Δ ΒGF , < t = 2 v ; that is , BD is the bisector of ABC . Hence , F is in the bisector of ...
... respectively . Then , § 26 , Zrands are rt . s . In the rt . A BEF and BGF , BF is common , and , data , .. § 123 , and , § 108 , FE = FG ; ΔΒΕF = Δ ΒGF , < t = 2 v ; that is , BD is the bisector of ABC . Hence , F is in the bisector of ...
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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 Data diagonals diameter dihedral angles distance divide equal circles equidistant equilateral triangle equivalent exterior extremities Find the locus frustum given line given point given straight line Hence homologous homologous sides hypotenuse inscribed angle interior angles intersecting isosceles trapezoid isosceles triangle line drawn measured by arc middle point number of sides opposite sides parallel lines parallelogram parallelopiped pass perimeter perpendicular plane prism produced Proof proportion prove pyramid Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular polygon respectively rhombus right angles right triangle secant segment similar sphere spherical triangle subtended surface tangent Theorem transversal trapezoid triangle ABC triangles are equal trihedral vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 103 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 147 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Σελίδα 65 - 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 45 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 62 - 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 59 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 81 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Σελίδα 45 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 31 - 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 88 - 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.