Books Books
Triangles upon equal bases, and between the same parallels, are equal to one another.
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Page 26
by Dennis M'Curdy - 1846 - 138 pages

## The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Surveying - 1821 - 604 pages
...parallelogram, AB will be = CD and AD ~ BC. THEO. XIII. PL. I. Jig. 31. All parallelograma on the same or equal bases and between the same parallels, are equal to one another, that is, if BD = GH, and the lines £H and AF parallel, then the paralleloe-ram JIBDC=,BDFE.= EfHG....

## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...is equal to the triangle DBC. Wherefore triangles, &c. QED Propoķiķion 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 : The triangle...

## Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 236 pages
...the triangle DBC. Therefore triangles, &c. QED PROPOSITION XXXVIII. THEOREM. Triangles constituted upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DCE, be constituted upon equal bases вс, CE, and <? A n н between the same parallels...

## Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...the same parallels вс, EF. And the triangle PROPOSITION XXXVIII. THEOREM. , Triangles constituted upon equal bases, and between the same parallels, are equal to one another. * si.i. rallel to сл; " also through E draw EH B c E Let the triangles ABC, DCE, be constituted upon...

## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...to the parallelogram EBCF. Therefore parallelograms upon the same base, &c. QED PROP. XXXVI. THEOR. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABC^DjEFGH, be parallelograms upon equal bases BC, FG, and between the same parallels AH, BG: the parallelogram...

## Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 186 pages
...(Prop. 34.), and therefore are equal to one another. ED. PROPOSITION XXXVIII. THEOREM. Triangles on equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be on equal bases BC, EF, and between the same parallels BF, AD; the triangle...

## The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 516 pages
...triangle ABC is equal to the triangle DBC. Wherefore triangles, &c. QED PROP. XXXVIII. THEOR. TRIANGLES upon equal bases, and between the same parallels, are equal to one auother. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF,...

## First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...to perceive, that the magnitude of an angle does not depend upon the greatneii 12* 128 GEOMETRY. 5. Parallelograms upon equal bases and between the same parallels are equal to one another. 6. The area of a parallelogram is found by multiplying the basis given in rods, feet inches, &c. by...