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. Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Page 106
by Thomas Perronet Thompson - 1833 - 150 pages ## Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...equal to four right angles (Ax. 3). Proposition 33.— Theorem. T/ie straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel. Let AB and CD be equal and parallel straight lines joined towards... ## A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...triangle is equidistant from the three anjles. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. .. Let AB and CD be equal and parallel straight ' • lines, and... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 446 pages
...towards the same parts by the straight lines BE, CH; but straight lines which join the extremities of equal and parallel straight lines towards the same parts, are themselves equal and parallel ; (I. 33.) therefore BE, CH are both equal and parallel ; wherefore EBCH is a parallelogram, (def.... ## Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...parallel to one another. . . . . . . . . . . . . . . . . 50, 33. The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. . . 59 39. Equal triangles upon the same base, and upon the same... ## The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...allies. Same exercise in penmanship as that set for Candidates. 1. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel. ' 2. "If va parallelogram and a triangle bo upon the same base... ## Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 pages
...angle is greater than either of the interior opposite angles. 3. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. 4. If the square described upon one of the sides of a triangle... ## Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...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... ## Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...remaining side form an equilateral triangle. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines...parts, are themselves equal and parallel. Let AB, CD be = and || st. lines, joined towards the same parts by AC, BD. Then AC, BD shall be = and || . Constr.... ## Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...be greater than the third ? 4. What are parallel straight lines ? The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall... 