| John Keill - 1733 - 397 pagina’s
...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 - 399 pagina’s
...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 - 159 pagina’s
...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 - 311 pagina’s
...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 - 518 pagina’s
...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
...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 - 317 pagina’s
...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... | |
| Euclid, Rev. John Allen - 1822 - 494 pagina’s
...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
...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 - 180 pagina’s
...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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