145:
181:
Problema wie aus bekannt gegebenem sinu eines Grades, Minuten oder
Sekunden alle folgenden sinus aufs leichtests zu finden und der canon sinuum zu absolvieren sei
136:
with his foster father after Bürgi was appointed to the imperial court. Bramer would stay there for five years before returning to Kassel to begin his career.
336:
132:
after being adopted. Bürgi educated Bramer from a young age, particularly in the fields of mathematics and architecture. When Bramer was 16 he stayed in
341:
204:
Trigonometrica planorum mechanica oder
Unterricht und Beschreibung eines neuen und sehr bequemen geometrischen Instrumentes zu allerhand Abmessung
189:
Kurze
Meldung vom Vacuo oder leerem Orte, neben anderen wunderbaren und subtilen Quaestionen, desgleichen Nic Cusani Dialogus von Waag und Gewicht
346:
124:
to a
Protestant minister father. The minister later died when Bramer was three years old. This led him to be adopted by his brother-in-law,
206:. Although he is typically not credited with the invention of the pantograph, his early design is superior to the pantograph invented by
297:
144:
287:
153:
173:
199:
148:
Title page of the
Benjamin Bramer's booklet Problema wie aus bekannt gegebenem sinu (...), Marburg, 1614
164:
caused him to begin focusing on the design of military fortifications. One such fortification was the
331:
326:
161:
169:
57:
234:
207:
293:
121:
39:
165:
260:
320:
125:
97:
289:
Teacher's
Assistant Course Mathematics Adapted Method Instruction American Colleges
195:
183:
he described various measures to calculate sines. He also published a work on
128:, who was a prominent mathematician at the time. He moved to Bürgi's home in
101:
241:. School of Mathematics and Statistics University of St Andrews, Scotland
157:
105:
184:
109:
133:
129:
143:
179:
Bramer's first scientific publication was in 1614. Titled
156:. He advised him to construct a new church in the town of
202:
which he described in an earlier 1617 publication titled
152:
One of his first jobs was as an architectural adviser to
79:
64:
46:
25:
18:
96:(15 February 1588 – 17 March 1652) was a German
292:. New Haven: Durrie & Peck. p. 223.
8:
172:. In 1635 he became the master builder of
15:
219:
120:Bramer was born on 15 February 1588 in
229:
227:
225:
223:
7:
337:17th-century German mathematicians
14:
194:In 1630, he constructed an early
239:www-history.mcs.st-andrews.ac.uk
342:17th-century German architects
198:enabling him to draw accurate
1:
347:17th-century German inventors
160:, but the out break of the
154:Count Christian von Waldeck
363:
168:which he improved for the
87:
72:
286:Day, Jeremiah (1836).
149:
200:geometric perspective
147:
174:Ziegenhain Fortress
58:Ziegenhain, Germany
261:"Bramer, Benjamin"
208:Christoph Scheiner
150:
267:. Galileo Project
235:"Benjamin Bramer"
162:Thirty Years' War
122:Felsberg, Germany
91:
90:
74:Scientific career
40:Felsberg, Germany
36:February 15, 1588
354:
311:
310:
308:
306:
283:
277:
276:
274:
272:
265:galileo.rice.edu
257:
251:
250:
248:
246:
231:
166:Rheinfels Castle
53:
35:
33:
16:
362:
361:
357:
356:
355:
353:
352:
351:
317:
316:
315:
314:
304:
302:
300:
285:
284:
280:
270:
268:
259:
258:
254:
244:
242:
233:
232:
221:
216:
142:
118:
94:Benjamin Bramer
60:
55:
51:
42:
37:
31:
29:
21:
20:Benjamin Bramer
12:
11:
5:
360:
358:
350:
349:
344:
339:
334:
329:
319:
318:
313:
312:
298:
278:
252:
218:
217:
215:
212:
170:Count of Solms
141:
138:
117:
114:
89:
88:
85:
84:
81:
77:
76:
70:
69:
66:
62:
61:
56:
54:(aged 64)
50:March 17, 1652
48:
44:
43:
38:
27:
23:
22:
19:
13:
10:
9:
6:
4:
3:
2:
359:
348:
345:
343:
340:
338:
335:
333:
330:
328:
325:
324:
322:
301:
299:9781130672251
295:
291:
290:
282:
279:
266:
262:
256:
253:
240:
236:
230:
228:
226:
224:
220:
213:
211:
209:
205:
201:
197:
192:
190:
186:
182:
177:
175:
171:
167:
163:
159:
155:
146:
139:
137:
135:
131:
127:
123:
115:
113:
111:
107:
103:
99:
98:mathematician
95:
86:
82:
78:
75:
71:
67:
63:
59:
49:
45:
41:
28:
24:
17:
303:. Retrieved
288:
281:
269:. Retrieved
264:
255:
243:. Retrieved
238:
203:
193:
188:
180:
178:
151:
119:
93:
92:
73:
52:(1652-03-17)
332:1652 deaths
327:1588 births
83:Mathematics
65:Nationality
321:Categories
214:References
196:pantograph
126:Jost Bürgi
116:Early life
32:1588-02-15
102:architect
158:Widungen
106:inventor
305:25 June
271:25 June
245:25 June
187:titled
185:vacuums
110:adviser
296:
140:Career
134:Prague
130:Kassel
108:, and
80:Fields
68:German
307:2015
294:ISBN
273:2015
247:2015
47:Died
26:Born
323::
263:.
237:.
222:^
210:.
191:.
176:.
112:.
104:,
100:,
309:.
275:.
249:.
34:)
30:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.