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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 ... - Page 55
by Thomas Perronet Thompson - 1833 - 150 pages
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...Ax. 3. .: AL = BC. Ax. 1. Thus from pt. A a st. line AL has been drawn = BC. From the greater of two given straight lines to cut off a part equal to the less. Let AB be the greater of the two given st. lines AB, CD. It is required to cut off from AB a part = CD. Prom...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
.../'/.'. are equal. .'. remainder AL = remainder BG. PROPOSITION III. PROBLEM. From the greater of two given straight lines to cut off a part equal to the less. Let AB be the greater of the two given st. lines AJ3, CD. It is required to cut off from AB a part = CD. From...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...be able, — 1. To join two given points by a straight line. (Post. I.) 2. From the greater of two given straight lines to cut off a part equal to the less. 3. To draw a straight line perpendicular to a given straight line from a given point in the same. (I....
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...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. It is required to cut off from AB the greater, a part equal to C the less....
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...described. In this way Prop. I. is made more general, PKOP. III. — PROBLEM. From the greater of two given straight lines to cut off a part equal to the less. Let AB be the greater line and C the less; it is required to cut off from AB a part equal to C. From the centre...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...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. DnvAB. BC=BC. DL=DO. /. AL = BO. .-. ALud BCe»ch = BG. .-. AL = BC. GEOMETRY. AE=AD. AD=C. AE and...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...when the given point is in the given line produced. PROPOSITION 3. PROBLEM. From the greater of two given straight lines, to cut off a part equal to the less. A Let AB and C be the two given straight lines, ' • of which AB is the greater. It is required to...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...to be done. Proposition 3.— Problem. From the greater of two given straight lines to cut off apart equal to the less. Let AB and C be the two given straight lines, of which AB is the greater. BC=BCt. AE=AD. AD=C. £ch=AD. .-. AE=C. It is required to cut off from...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...from pt. A a st. line AL has been drawn =BC. O, EF PROPOSITION III. PROBLEM. From, the greater of two given straight lines to cut off a part equal to the less. Let ABbe the greater of the two given st. lines AB, CD. It is required to cut off from AB apart— CD....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 382 pages
...from pt. A a st. line AL has been drawn = BC. 0. EF PROPOSITION III. PROBLEM. From the greater of two given straight lines to cut off a part equal to the less. 1.2. Ax. 1. Let AB be the greater of the two given st. lines AB, CD. Jt is required to cut off from...
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