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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. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Σελίδα 106
των Thomas Perronet Thompson - 1833 - 150 σελίδες
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...are equal to four right angles. " " \ PROPOSITION XXXIII. THEOR. 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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 σελίδες
...angles are equal to four right angles. PROP. XXXIII. — 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, CD, be equal and parallel straight lines, and joined towards...

The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Βιβλίο 1

Euclides - 1853 - 334 σελίδες
...angle of the other. Which was to be proved. PEOP. XXXIII. THEOE. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts shall be also themselves equal and parallel. Let AB, CD be two equal and parallel straight lines, and...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 σελίδες
...meeting, are together equal to four right angles. PROP. XXXIII. 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 the straight lines AС, BD join the two equal and parallel...

Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 σελίδες
...parallelogram of which, two sides are parallel to two sides of ABCD. 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. ferences in A', S 1 , C'. Shew that the sides of triangle A'SC'...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 σελίδες
...made use of in the construction must necessarily cut each other. 4. The straight lines which join the extremities of two equal and parallel straight lines...the same parts, are themselves equal and parallel. What parallelograms have their diagonals equal ? 6. If a straight line be divided into any two parts,...

The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 σελίδες
...other to which the equal sides are opposite. XXXV.— EUCLID I. 33. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves also equal and parallel. Let AB, CD (Fig. 28) be equal and parallel straight lines joined towards the...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 σελίδες
...line bisecting the angle between them, are equal to each other. 4. 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. To describe a square upon a given straight line. 6. If a straight...

National Society's Monthly Paper

1857 - 408 σελίδες
...triangle is greater than the interior and opposite on the same straight line. 2. Straight lines which join equal and parallel straight lines towards the same parts are themselves equal and parallel. 3. The rectangle contained by the sum and difference of two lines is equal to the difference of their...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 σελίδες
...either two right angles, or are together equal to two right angles. 2. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. VOLUNTARY PORTION. 1. Describe an isosceles triangle having each...




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