Plane and Solid GeometryAmerican Book Company, 1899 - 384 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 44.
Σελίδα 5
... . The following are suggestive outlines of steps : Prop . XXXVI . , page 61 . 1. Draw the diagonal AC . 2. Prove ABC and ADC equal . 3. Prove AB || DC and AD | BC . Then , ABCD is a parallelogram . Prop . XII . , page 185 . 1. Make 5.
... . The following are suggestive outlines of steps : Prop . XXXVI . , page 61 . 1. Draw the diagonal AC . 2. Prove ABC and ADC equal . 3. Prove AB || DC and AD | BC . Then , ABCD is a parallelogram . Prop . XII . , page 185 . 1. Make 5.
Σελίδα 61
... ABCD , in which AB = DC and AD = BC . To prove ABCD a parallelogram . Proof . Draw AC . Then , in the A ABC and ADC , AB DC , BC = AD , AC is common ; ΔΑBC = Δ ADC , Zrt , and = s = v ; data , and .. § 107 , § 108 , ... § 75 , Hence ...
... ABCD , in which AB = DC and AD = BC . To prove ABCD a parallelogram . Proof . Draw AC . Then , in the A ABC and ADC , AB DC , BC = AD , AC is common ; ΔΑBC = Δ ADC , Zrt , and = s = v ; data , and .. § 107 , § 108 , ... § 75 , Hence ...
Σελίδα 62
... ABCD , in which two of the sides , as AB and DC , are equal and parallel . To prove ABCD a parallelogram . Proof . Draw AC . In the AABC and ADC , data , and , § 73 , .. § 100 , and Hence , § 75 , and since , data , AB = DC , AC is ...
... ABCD , in which two of the sides , as AB and DC , are equal and parallel . To prove ABCD a parallelogram . Proof . Draw AC . In the AABC and ADC , data , and , § 73 , .. § 100 , and Hence , § 75 , and since , data , AB = DC , AC is ...
Σελίδα 63
... ABCD , and one of its diagonals , as AC . To prove triangles ABC and ADC equal . Proof . To be given by the student . D V " ' A B 153. Cor . The opposite sides of a parallelogram are equal . Proposition XXXIX 154. Draw a parallelogram ...
... ABCD , and one of its diagonals , as AC . To prove triangles ABC and ADC equal . Proof . To be given by the student . D V " ' A B 153. Cor . The opposite sides of a parallelogram are equal . Proposition XXXIX 154. Draw a parallelogram ...
Σελίδα 64
... ABCD and EFGH , in which AB = EF , AD = EH , and angle 4 = angle E. To prove parallelograms ABCD and EFGH equal . Proof . Place □ EFGH upon ABCD so that EF coincides with its equal AB and E with its equal △ A. Then , § 70 , and Also ...
... ABCD and EFGH , in which AB = EF , AD = EH , and angle 4 = angle E. To prove parallelograms ABCD and EFGH equal . Proof . Place □ EFGH upon ABCD so that EF coincides with its equal AB and E with its equal △ A. Then , § 70 , and Also ...
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 segment sphere spherical triangle subtended surface tangent Theorem transversal trapezoid triangle ABC triangles are equal trihedral vertex vertical angle volume