...parallelogram ABCD is equal to the parallelogram EBCF. PROPOSITION 36.— THEOREM. Parallelograms upon equal bases, and between the same parallels, are equal to one another. (References— Prop. I. 33, 34, 35; ax. 1.) Hypothesis. — Let ABCD, EFGH, be parallelograms on equal...

...surface in the parallelogram. PROP. 36.— THEOR.— (A Corollary of the 35th). Parallelograms upon equal bases, and between the same parallels, are equal to one another. , CON.— Pst. 1.— DEM.— P. 34, Ax. 1, P. 33, Def. A, P. 35 Hyp. 1. Let the / — 7s ABCD, EFGH,...

...triangle be produced, the angles upon the other side of the base shall be equal. 9. Parallelograms upon equal bases and between the same parallels are equal to one another. A parallelogram has one side fixed, while the other sides move in such a manner that its area is- always...

...also by a line drawn perpendicular to one of the sides. 8. Proposition 38, Theorem ; Triangles upon equal bases and between the same parallels are equal to one another. 9. Divide an equilateral trianglo into four equal triangles. Book 2. 10. Proposition 7, Theorem ; It...

...contained by the whole and one of the parts may be equal to the square on the other part. 6. Triangles on equal bases, and between the same parallels, are equal to one another. 7. If a straight line be divided into any two parts, the square on the whole line is equal to the squares...

..." sq. on AB," and for the rectangle contained by AB and CO, " the rect. AB, CD." 1. TRIANGLES upon equal bases and between the same parallels are equal to one another. If a quadrilateral figure have two sides parallel, and the parallel sides be bisected, the line joining...

...value of 1L due 12 years hence, when money bears 4^ per cent, compound interest. 9. Parallelograms upon equal bases and between the same parallels are equal to one another. other circle be described with centre C, chords of this latter which, produced if necessary, pa&s through...

...equal to the triangle DBC. Wherefore, triangles, &c. QED PROPOSITION XXXVIII. THEOREM. Triangles upon equal bases and between the same parallels, are equal to one another, Let the triangles, ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, AD. Then...

..." sq. on AB," and for the rectangle contained by AB and CD, " the rect. AB, CD." 1. TRIANGLES upon equal bases and between the same parallels are equal to one another. If a quadrilateral figure have two sides parallel, and the parallel sides be bisected, the line joining...

...equal to the triangle BBC. Wherefore, triangles, &c. QED PROP. XXXVIII.— THEOREM. Triangles upon equal bases and between the same parallels are equal to one another. (References — Prop. I. 31, 34, 36 ; ax. 7.) Let the triangles ABC, DEF, be on the equal bases BC,...