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" From the greater of two given straight lines to cut off a part equal to the less. Let AB and C be the two given straight lines, whereof AB is the greater. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Σελίδα 55
των Thomas Perronet Thompson - 1833 - 150 σελίδες
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 σελίδες
...given point to draw a straight line equal to a given stra1ght line. .. 28 3. From the greater of two given straight lines to cut off a part equal to the less. 28 7. Upon the same base and on the same side of it, there cannot be two triangles that have their...

Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 σελίδες
...the given straight line BC. Which was to be done. Proposition 3.— Problem. from the greater of two given straight lines to cut off a part equal to the...less. Let AB and C be the two given straight lines, of which AB is the greater. Draw AB. A DAB equilateral. BC=BQ. DL=DO. DA=DB. .'. AL, = .'. AL and BO...

Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 σελίδες
...straight line draw a straight line double of its length. PKOPOSITION III. PROBLEM. From the greater of two given straight lines to cut off a part equal to the less. Let AB and CD be the two given straight lines, of which AS is the greater ; it is required to cut off from AB...

Elements of Plane Geometry, Μέρος 1

Thomas Hunter - 1878 - 142 σελίδες
...equal to BG, they must be equal to each other. PROPOSITION III.—PROBLEM. From the greater of two given straight lines to cut off a part equal to the less. Let AB and D be two given straight lines, of which AB is the greater; it is required to cut off from AB a part...

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 σελίδες
...or scholiums which may attach to the proposition. Proposition 1. Problem.—From the greater of two given straight lines, to cut off a part equal to the less. Let AB and C be two straight lines, AB being the greater: it is required to cut off from AB a part equal to C. Restatement....

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

W J. Dickinson - 1879 - 44 σελίδες
...farther removed from it, instead of the nearer one, as in Euclid. 3. Show how from the greater of two given straight lines to cut off a part equal to the less. 4. If two triangles have two sides of the one equal to two sides of the other, each to each, and have...

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

Euclides - 1879 - 146 σελίδες
...straight lines to cut off a •bart equal to the less. Let AB and CD be the two given st. lines, of which AB is the greater. It is required to cut off from AB, the greater, a part equal to CD, the less. Constr. From the pt. A draw the st line AE = CD; (i. 2)...

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

Isaac Todhunter - 1880 - 426 σελίδες
...been drawn equal to the given straight line BC. QEF PROPOSITION 3. PROBLEM. From, the greater of two given straight lines to cut off a part equal to the...less Let AB and C be the two given straight lines, of which AB is the greater : it is required to cut off from AB, the greater, a part equal to C the...

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

Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...proved, us required, that AL is the line drawn from A=BO. QLF PROP. III. PROBLEM. From the greater of two given straight lines to cut off a part equal to the...less. Let AB and C be the two given straight lines, of which AB is the greater. It is required to cut off from AB, the greater, a part equal to 0, the...

First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 σελίδες
...equal. And that point is called the centre of the circle. General Enunciation. From the greater of two given straight lines to cut off a part equal to the less. Particular Enunciation. Given. — Two straight lines, AB and C, of which AB is A ff greater (that...




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