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" 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, CD be equal and parallel straight lines, and joined towards the same parts by the straight... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 39
των Euclid, John Playfair - 1826 - 320 σελίδες
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 σελίδες
...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...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 σελίδες
...'figure are equal to four right angles (Ax. 3). Proposition XXXIII. Theorem. The straight lines which join the extremities of two equal and parallel straight...joined towards the same parts by the straight lines AC, B D. Then AC, BD shall be equal and parallel, Join B C. Then because AB is parallel to CD, and BC falls...

A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 σελίδες
...double of the angle C. Show that the side CB is double of the side AB. 33. The straight lines which join the extremities of two equal and parallel straight...same parts, are also themselves equal and parallel ABCD is a parallelogram whose diagonals AC, BD intersect in C : show that if the parallelograms AOBP,...

Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 σελίδες
...bisection and terminated by the parallel line are also bisected in that point. 2. The straight lines which join the extremities of two equal and parallel straight...same parts are also themselves equal and parallel. Any straight line drawn through the intersection of the diagonals of a parallelogram will divide the...

Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 σελίδες
...remaining side form an equilateral triangle. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are themselves equal and parallel. Let AB, CD be = and || st. lines, joined towards the same parts by AC,...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 σελίδες
...angles ? PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal ami parallel straight lines, towards the same parts, are also themselves equal and parallel. O Let the equal and || st. lines AB, CD be joined towards the same parts by the st. lines AC, BD. Then...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 σελίδες
...the exterior angles are equal to four right angles. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel straight...parts, are also themselves equal and parallel. Let AB and CZ> be equal and parallel straight lines, and let them be joined towards the same parts by the...

Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...angles of any) = Fonr rf ^ leg rectilineal figure QED PPOP. XXXIII. THEOKEM. The straight lines which join the extremities of two equal and parallel straight...parts, are also themselves equal and parallel. Let AB and CD be two equal and parallel straight lines, joined towards the same parts by the straight lines...

Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 σελίδες
...lines must be greater than the third? 4. What are parallel straight lines ? The straight lines which join the extremities of two equal and parallel straight...same parts, are also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall be equal to a given triangle, and...

Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 σελίδες
...each of the parts, are together equal to the square on the whole line. 4. The straight lines which join the extremities of two equal and parallel straight...same parts, are also themselves equal and parallel. 5. If a straight line be divided into any two parts, the sqTtares on the whole line and on one of the...




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