 | Euclid, John Keill - 1733 - 444 σελίδες
...other. II. Figures are faid to be reciprocal, when the Antecedent and Coiifequent "Terms of the Ratio's are in each Figure. III. A Right Line is faid to be...greater Segment, as the greater Segment is to the le/er. IV. The Altitude of any Figure, is a perpendicular Line drawn from the Top, or Vertex to the... | |
 | John Keill - 1772 - 462 σελίδες
...proportional to each other. II. Figures are faid to be reciprocal, when the antecedent and confequent Terms of the Ratios are in each Figure. III. A Right...be cut into mean and extreme Proportion, when the Wbole is to the greater Segment , as the greater Segment is to the le/er. IV. Ibe Altitude of any Figure... | |
 | Benjamin Donne - 1775 - 338 σελίδες
...to the remaining one of the firft. 176. Def. 24. A Line is faid to be cut in extreme and mean Ratio, when the Whole is to the greater Segment as the greater Segment is to the lefs. • 177. Axiom i. Equimultiples of the fame, or equal Magnitudes, are equal to one another ;... | |
 | John Playfair - 1806 - 320 σελίδες
...the remaining side of the first. III. A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less. IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the... | |
 | Robert Simson - 1806 - 546 σελίδες
...the reK maining side of the first." III. A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment, as the greater segment is to the less. IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the... | |
 | John Mason Good - 1813 - 714 σελίδες
...to the remaining side of the first. 3. A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment, as the greater segment is to the less. 4. The altitude of any figure is the straight line drawn from its vertex perpendicular to the... | |
 | John Playfair - 1819 - 354 σελίδες
...the remaining side of the first. III. A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment, as the greater segment is to the less. IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the... | |
 | Rev. John Allen - 1822 - 516 σελίδες
...about the equal angles proportional. 2. A right line is said to he divided in extreme and mean ratio, when the whole is to the greater segment, as the greater segment to the less. 3. The altitude or height of any figure, is a perpendicular, let fall from the vertex... | |
 | Euclides - 1826 - 226 σελίδες
...is to the remaining side of the first. 3. A right line is said to be cut in extreme and mean ratio when the whole is to the greater segment as the greater segment is to the less. 4. The altitude of any figure is the perpendicular drawn from the vertex to the oase. PROPOSITION... | |
 | Euclid - 1826 - 234 σελίδες
...is to the remaiuing side of the first. 3. A right line is said to be cut in extreme and mean ratio when the whole is to the greater segment as the greater segment is to the less. 4. The altitude of any figure is the perpendicular drawn from the vertex to the base. PROPOSITION... | |
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A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less. 
