Books Books
THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Page 29
by Euclides - 1845

## A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...right angled triangle is equidistant from the three anjles. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel...are also themselves equal and parallel. .. Let AB and CD be equal and parallel straight ' • lines, and let them be joined towards the same parts by...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 446 pages
...equal and parallel ttru.iiiIit lines towards the same parts, are also themselves equal and parallei. Let AB, CD be equal and parallel straight lines, and...be equal and parallel. Join BC. Then because AB is r,arallel to CD, Etnd BC meets them, therefore the angle ABC is equal to the alternate angle BCD; (i....

## Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...straight line are parallel to one another. . . . . . . . . . . . . . . . . 50, 33. The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. . . 59 39. Equal triangles upon the same base, and upon the same side of it, are between the same parallels....

## The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...war, and our allies. Same exercise in penmanship as that set for Candidates. 1. The straight lines which join the extremities of two equal and parallel...same parts are also themselves equal and parallel. ' 2. "If va parallelogram and a triangle bo upon the same base and between the same parallels, the...

## Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...Proposition 33.— Theorem. The straight lines which join the extremities of two equal and 2~,arallel straight lines towards the same "parts are also themselves equal and parallel. Let AB and CD be equal and parallel straight lines joined towards the same parts by the straight lines AC...

## Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 pages
...produced, the exterior angle is greater than either of the interior opposite angles. 3. The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. 4. If the square described upon one of the sides of a triangle be equal to the squares described upon...

## Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...exterior angles are equal to four right angles (Ax. 3). Proposition 33.— Theorem. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are al.to themselves equal and parallel. Let AB and CD be equal and parallel straight lines joined towards...

## Elements of Plane Geometry, Part 1

Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...of two lines means the same thing as their rectangle. PROPOSITION I.—THEOREM. Two straight lines which join the extremities of two equal and parallel straight lines, towards corresponding parts, are also equal and parallel. AC and BD be equal and parallel. Let AB and CD be...