This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1830 Excerpt: ...CD, equal to the hypothenuse BC and the side CD in the right-angular triangle BCD, each to each; therefore these two triangles must be equal; (page 55) and the side AD, in the triangle ACD, is equal to the side BD in the equal triangle BCD. Q. What other truths can you infer from the one you have just established 1 A. ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1830 Excerpt: ...CD, equal to the hypothenuse BC and the side CD in the right-angular triangle BCD, each to each; therefore these two triangles must be equal; (page 55) and the side AD, in the triangle ACD, is equal to the side BD in the equal triangle BCD. Q. What other truths can you infer from the one you have just established 1 A. 1. A straight line drawn from the centre of a circle to the middle of a chord, is perpendicular to that chord. 2. A perpendicular drawn through the middle of a chord, passes, when sufficiently far extended, through the centre of the circle. 3. Two perpendiculars, each drawn through the middle of a chord in the same circle, intersect each other at the centre; for each of them must go through the centre. 4. The two angles, x and y, which the radii AC, BC, drawn to the extremities of the chord AB, make with the perpendicular CD, are equal to one another; for they are opposite to the equal sides AD, BD, in the equal triangles ADC, BDC. QUERY VII. If the two chords AD AB, r are equal to each other, what remark can you make with re-M gard to the arcs AD, AB, subtended by these chords'? "S A. The two arcs AB, AD, The arcs AD, AB, standing on the chords AB, AD, arc said to be subtended by these chords. subtended by the equal chords AS, AD, are equal to one another. q. Why? A. This follows from the perfect uniformity with which a circle is consructed. For if the chord AB is placed upon its equal the chord AD, the arcs, AB and AD, must coincide with each other; because every point in both these arcs is at the same distance from the centre C, of the circle. Remark. It is to be observed that each chord subtends two arcs, one of which is smaller and the other greater than the semi-circumference, both together completing the whole circumference. In spe...
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Add this copy of First Lessons In Plane Geometry: Together With An to cart. $51.16, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2010 by Kessinger Publishing.
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Add this copy of First Lessons in Plane Geometry: Together With an to cart. $53.62, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2010 by Kessinger Publishing.
Add this copy of First Lessons in Plane Geometry: Together With an to cart. $53.62, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2009 by Kessinger Publishing.
Add this copy of First Lessons in Plane Geometry: Together With an to cart. $59.74, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2016 by Palala Press.
Add this copy of First Lessons In Plane Geometry: Together With An to cart. $71.57, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2009 by Kessinger Publishing.
Add this copy of First Lessons in Plane Geometry: Together With an to cart. $74.40, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2009 by Kessinger Publishing.