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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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 σελίδες
...BC. Which was to be done. PROP. III. PROB. FROM the greater of two given straight lines to cut oft' a part equal to the less. Let AB and C be the two...is the greater. It is required to cut off from AB, the greater, a part equal to C, the less. From the point A draw (2. 1.) the straight line AD equal...

Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840 - 192 σελίδες
...given point C, is equal to the given line AB (Ax. i). PROP. III. PROB. From the greater (AB) of two given straight lines, to cut off a part equal to the less (c). From either extremity of AB, as A, draw a straight line AD, equal to C (Prop. 2) ; and from the...

The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 σελίδες
...draw a straight line equal to a given finite straight line. PROP. III. PROB. From the greater of two given straight lines, to cut off a part equal to the less. PROP. IV. THEOREM. If two triangles have two sides of the one respectively equal to two sides of the...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 σελίδες
...done. PROP. III. PROB. From the greater of two given straight lines to cut off a part equal to the lea. Let AB and C be the two given straight lines, whereof...is the greater. It is required to cut off from AB, the greater, a part equal to C, the less. * 3 Ax. From the point A draw • the straight line AD equal...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 σελίδες
...line AL has been drawn equal to the given straight line BC. ' PROP. III. PROB. From th? greater of two given straight lines to cut off a part equal to the...is the greater. It is required to cut off from AB, the greater, a part equal to C, the less. From the point A draw (2. 1.) the straight line AD equal...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 σελίδες
...point in the arc : the line so drawn will be equal to в c. PROP. III. PROB. 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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - 338 σελίδες
...line AL has been drawn equal to the given straight line BC. PROP. III. PROB. From the greater of two given straight lines to cut off a part equal to the...AB is the greater. It is required to cut off from A13, the greater, a part equai to C, the less. From the point A draw (2. 1.) the straight line AD equal...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 σελίδες
...the given straight line BC. Which was to be done. PROPOSITION III. PROB. — From the greater of two given straight lines to cut off a part equal to the...is the greater. It is required to cut off from AB, the greater, a part equal to C, the less. From the point A draw* the straight line AD equal to C ;...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 σελίδες
...the given straight line BC. Which was to be done. PROPOSITION 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 a part equal to C, the less. From the...

The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 σελίδες
...to the given straight line BC : which was to be done. PROP. III. PROB. — From the greater of two given straight lines to cut off a part equal to the less.§ * lt will be shown in the 10th proposition of the 3d hook, that two circles can cut each other in only...




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